IMSL Mathematics Reference Guide
Introduction
Rows vs Columns
Underflow and Overflow
Missing Values
User Errors
Errors and Default Actions
What Determines Error Severity
Functions for Error Handling
Use of CMAST_ERR_TRANS to Determine Program Action
Linear Systems
Introduction
Matrix Inversion
Solving Systems of Linear Equations
Matrix Factorizations
Multiple Right-hand Sides
Least-squares Solution and QR Factorization
Singular Value Decomposition and Generalized Inverse
Ill-conditioning and Singularity
Notation
Sparse Matrices: Direct Methods
Sparse Matrices: Iterative Methods
Sparse Matrices: Utilities
Sparse Matrices: Matrix Storage Modes
Sparse Coordinate Storage Format
Band Storage Format
Choosing Between Banded and Coordinate Forms
Compressed Sparse Column (CSC) Format
INV Function
Usage
Input Parameters
Returned Value
Input Keywords
Example
Fatal Errors
LUSOL Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1: Solving a System
Example 2: Transpose Problem
Example 3: Solving with Multiple Right-hand Sides
Warning Errors
Fatal Errors
LUFAC Procedure
Usage
Input Parameters
Output Parameters
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
Warning Errors
Fatal Errors
CHSOL Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
Warning Errors
Fatal Errors
CHFAC Procedure
Usage
Input Parameters
Output Parameters
Input Keywords
Output Keywords
Discussion
Example
Warning Errors
Fatal Errors
QRSOL Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Input/Output Keywords
Discussion
Example
Fatal Errors
QRFAC Procedure
Usage
Input Parameters
Input/Output Keywords
Output Parameters
Input Keywords
Output Keywords
Discussion
Example
Fatal Errors
SVDCOMP Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
Warning Errors
CHNNDSOL Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Warning Errors
CHNNDFAC Procedure
Usage
Input Parameters
Output Parameters
Input Keywords
Output Keywords
Discussion
Example
Warning Errors
LINLSQ Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
SP_LUSOL Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
See Also
SP_LUFAC Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
See Also
SP_BDSOL Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
See Also
SP_BDFAC Procedure
Usage
Input Parameters
Output Parameters
Input Keywords
Output Keywords
Discussion
Example 1
See Also
SP_PDSOL Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
See Also
SP_PDFAC Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
See Also
SP_BDPDSOL Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
SP_BDPDFAC Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
SP_GMRES Function
Usage
Input Parameters
Returned Value
Input Keywords
Input/Output Keywords
Discussion
Example 1
See Also
SP_CG Function
Usage
Input Parameters
Returned Value
Input Keywords
Input/Output Keywords
Discussion
Example 1
See Also
SP_MVMUL Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example 1
Example 2
Example 3
Eigensystem Analysis
Introduction
Error Analysis and Accuracy
Reformulating Generalized Eigenvalue Problems
EIG Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Example 2: Computing Eigenvectors
Example 3: Computing Eigenvalues of a Complex Matrix
Warning Errors
EIGSYMGEN Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
Warning Errors
Fatal Errors
GENEIG Procedure
Usage
Input Parameters
Output Parameters
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
Example 3
Example 4
Interpolation and Approximation
Introduction
Piecewise Polynomials
Splines and B-splines
Cubic Splines
Tensor-product Splines
Scattered-data Interpolation and Approximation
Least Squares
Smoothing by Cubic Splines
Structures for Splines and Piecewise Polynomials
CSINTERP Function
Usage
Input Parameters
Returned Value
Input Keywords
TCB Keywords
Discussion
Example 1
Example 2
Warning Errors
Fatal Errors
CSSHAPE Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example 1
Example 2
Warning Errors
Fatal Errors
BSINTERP Function
Usage
Input Parameters
Returned Value
Keywords
Discussion
Two-dimensional, Tensor-product B-splines
Example 1
Example 2
Warning Errors
Fatal Errors
BSKNOTS Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example 1
Example 2
Warning Errors
Fatal Errors
SPVALUE Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example 1
Example 2
Warning Errors
Fatal Errors
SPINTEG Function
Usage
Input Parameters
Returned Value
Discussion
Example
Warning Errors
Fatal Errors
FCNLSQ Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Warning Errors
Fatal Errors
BSLSQ Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
One-dimensional, B-spline Least-squares Approximation
Two-dimensional, B-spline Least-squares Approximation
Example 1
Example 2
Warning Errors
Fatal Errors
CONLSQ Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
CSSMOOTH Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Warning Errors
Fatal Errors
WgSplineTool Procedure
Usage
Input Parameters
Output Parameters
Input Keywords
Discussion
SMOOTHDATA1D Function
Usage
Input Parameters
Returned Value
Input Keywords
Algorithm
Example
POLYEVAL Function
Usage
Input Parameters
Returned Value
Keywords
Discussion
Example 1
Example 2
WENDCOEF Function
Usage
Input Parameters
Return Value
Discussion
Example
POLYFITN Function
Usage
Input Parameters
Returned Value
Keywords
Example
SCAT2DINTERP Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Fatal Errors
RADBF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example 1: Fitting Noisy Data with Default Radial Function
Example 2: Fitting Noisy Data with User-supplied Radial Function
Example 3: Fitting a Surface to Three-dimensional Scattered Data
RADBE Function
Usage
Input Parameters
Returned Value
Discussion
Example
RBFIMSCL Procedure
Usage
Input Parameters
Output Parameters
Input Keywords
Output Keywords
Discussion
Example
Quadrature
Introduction
Univariate and Bivariate Quadrature
Multivariate Quadrature
Gauss Quadrature
INTFCN Function
Default Method
Usage
Input Parameters
Returned Value
Global Keywords
Discussion of Default Method
Example
Warning Errors
Fatal Errors
Optional Methods of Integration
Integration of Functions Based on Gauss-Kronrod Rules
Usage
Returned Value
Method Input Keywords
Discussion
Example
Error Handling
Integration of Functions with Singular Points Given
Usage
Returned Value
Method Input Keywords
Discussion
Example
Error Handling
Integration of Functions with Algebraic-logarithmic Singularities
Method Input Parameters
Usage
Returned Value
Method Input Keywords
Discussion
Example
Error Handling
Integration of Functions Over an Infinite or Semi-infinite Interval
Method Input Parameters
Usage
Returned Value
Method Input Keywords
Discussion
Example
Error Handling
Integration of Functions Containing a Sine or Cosine Factor
Method Input Parameters
Usage
Returned Value
Method Input Keywords
Discussion
Example
Error Handling
Computation of Fourier Sine or Cosine Transforms
Method Input Parameters
Usage
Returned Value
Method Input Keywords
Method Output Keywords
Discussion
Example
Error Handling
Integrals in the Cauchy Principle Value Sense
Method Input Parameters
Usage
Returned Value
Method Input Keywords
Discussion
Example
Error Handling
Integration of Smooth Functions Using Nonadaptive Rule
Usage
Returned Value
Method Input Keywords
Method Output Keywords
Discussion
Example
Error Handling
Integration of Two-dimensional Iterated Integrals
Method Input Parameters
Usage
Returned Value
Method Keywords
Discussion
Example
Error Handling
INTFCNHYPER Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Warning Errors
Fatal Errors
INTFCN_QMC Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
GQUAD Procedure
Usage
Input Parameters
Output Parameters
Input Keywords
Discussion
Example
DERIV Function
Usage
Input Parameters
Returned Value
Discussion
FCN_DERIV Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example 1
Example 2
Differential Equations
Introduction
Ordinary Differential Equations
Differential-algebraic Equations
Partial Differential Equations
Introduction to PDE_1D_MG
Equation 1
Equation 1
Equation 2
Equation 3
Description Summary
ODE Function
Usage
Input Parameters
Returned Value
Input Keywords
Adams Gear (Default) Method Only
Output Keywords
Adams Gear (Default) Method Only
Discussion
Example 1
Example 2: Runge-Kutta Method
Example 3: Predator-Prey Problem
Example 4: Stiff Problems and Changing Defaults
Example 5: Strange Attractors—The Rossler System
Example 6: Coupled, Second-order System
Fatal Errors
ODEBV Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
Example 3
DEA_PETZOLD_GEAR Procedure
Usage
Input Parameters
Output Parameters
Input Keywords
Output Keywords
Description
Example 1
Output
Example 2
Output
Example 3
Output
Example 4
Output
Example 5
Output
PDE_1D_MG Procedure
Usage
Input Parameters
Output Parameters
Input Keywords
Example 1: Electrodynamics Model
Example 2: Inviscid Flow on a Plate
Example 3: Population Dynamics
Example 4: A Model in Cylindrical Coordinates
Example 5: A Flame Propagation Model
Example 6: A ‘Hot Spot’ Model
Example 7: Traveling Waves
Example 8: Black-Scholes
PDE_MOL Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example 1
Example 2
Example 3
Example 4
FEYNMAN_KAC Function
Usage
Input Parameters
Output Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Output
Example 2
Output
Example 3
Output
Example 4
Output
FEYNMAN_KAC_EVALUATE Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Output
POISSON2D Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Transforms
Introduction
Fast Fourier Transforms
Continuous Versus Discrete Fourier Transform
FFTCOMP Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Case 1: One-dimensional Real FFT
Case 2: One-dimensional Complex FFT
Case 3: Two-dimensional FFT
Case 4: Cosine Transform of a Real Sequence:
Case 5: Sine Transform of a Real Sequence
Example 1
Example 2: Resolving Dominant Frequencies
Example 3: Computing a Two-dimensional FFT
FFTINIT Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
CONVOL1D Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
CORR1D Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
LAPLACE_INV Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
Nonlinear Equations
Introduction
Zeros of a Polynomial
Zeros of a Function
Root of System of Equations
ZEROPOLY Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Warning Errors
ZEROS_FUNCTION Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Output
Warning Errors
ZEROFCN Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Warning Errors
ZEROSYS Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Warning Errors
Optimization
Introduction
Unconstrained Minimization
Linearly Constrained Minimization
Nonlinearly Constrained Minimization
Return Values from User-Supplied Functions
FMIN Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
Warning Errors
MIN_UNCON_GOLDEN Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Remarks
Example
Output
Warning Errors
Fatal Errors
FMINV Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
Informational Errors
Warning Errors
Fatal Errors
NLINLSQ Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Input/Output Keywords
Discussion
Example
Informational Errors
Warning Errors
Fatal Errors
LINEAR_PROGRAMMING Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Description
MPS File Format
NAME Section
ROWS Section
COLUMNS Section
RHS Section
RANGES Section
BOUNDS Section
QUADRATIC Section
ENDATA Section
Example 1
Output
Example 2
Output
Errors
Warning Errors
Fatal Errors
LINPROG Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Warning Errors
Fatal Errors
QUADPROG Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Warning Errors
Fatal Errors
MINCONGEN Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
NONLINPROG Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Input/Output Keywords
Discussion
Example
Warning Errors
Fatal Errors
CONSTRAINED_NLP Function
Usage
Input Parameters
Returned Value
Input Keywords
Keywords Valid Only if Keyword Grad is not Supplied
Output Keywords
Description
Example
Special Functions
Introduction
Additional Information
ERF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
ERFCE Function
Usage
Input Parameters
Return Value
Input Keywords
Description
Example
Output
ERFE Function
Usage
Input Parameters
Return Value
Input Keywords
Description
Example
Output
ERFC Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example 1
Example 2
Alert Errors
Warning Errors
Fatal Errors
BETA Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Alert Errors
Fatal Errors
LNBETA Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Warning Errors
BETAI Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
GAMMA Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Alert Errors
Warning Errors
Fatal Errors
LNGAMMA Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Warning Errors
Fatal Errors
GAMMAI Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Fatal Errors
BESSI Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
BESSJ Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
BESSK Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
BESSY Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
BESSI_EXP Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Output
BESSK_EXP Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Fatal Errors
ELK Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
ELE Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
ELRF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
ELRD Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
ELRJ Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
ELRC Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
FRESNEL_COSINE Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
FRESNEL_SINE Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
AIRY_AI Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
AIRY_BI Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
HERMITE Function
Usage
Input Parameters
Return Value
Example
KELVIN_BER0 Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
KELVIN_BEI0 Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
KELVIN_KER0 Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
KELVIN_KEI0 Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
LEGENDRE Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
CUM_INTR Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
CUM_PRINC Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
DEPRECIATION_DB Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
DEPRECIATION_DDB Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
DEPRECIATION_SLN Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
DEPRECIATION_SYD Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
DEPRECIATION_VDB Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
DOLLAR_DECIMAL Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
DOLLAR_FRACTION Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
EFFECTIVE_RATE Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
FUTURE_VALUE Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
FUTURE_VAL_SCHD Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
INT_PAYMENT Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
INT_RATE_ANNUITY Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
INT_RATE_RETURN Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
INT_RATE_SCHD Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
MOD_INTERN_RATE Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
NET_PRES_VALUE Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
NOMINAL_RATE Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
NUM_PERIODS Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
PAYMENT Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
PRESENT_VALUE Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
PRES_VAL_SCHD Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
PRINC_PAYMENT Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
ACCR_INT_MAT Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
ACCR_INT_PER Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
BOND_EQV_YIELD Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
CONVEXITY Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
COUPON_DAYS Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
COUPON_NUM Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
SETTLEMENT_DB Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
COUPON_DNC Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
DEPREC_AMORDEGRC Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
DEPREC_AMORLINC Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
DISCOUNT_PR Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
DISCOUNT_RT Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
DISCOUNT_YLD Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
DURATION Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
INT_RATE_SEC Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
DURATION_MAC Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
COUPON_NCD Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
COUPON_PCD Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
PRICE_PERIODIC Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
PRICE_MATURITY Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
MATURITY_REC Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
TBILL_PRICE Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
TBILL_YIELD Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
YEAR_FRACTION Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
YIELD_MATURITY Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
YIELD_PERIODIC Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Basic Statistics and Random Number Generation
Introduction
Overview of Random Number Generation
Basic Uniform Generator
Shuffled Generators
Setting the Seed
CHISQTEST Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Programming Notes
Example
Warning Errors
Fatal Errors
FREQTABLE Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
RANKS Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Ties
Scores
Example
RANDOMOPT Procedure
Usage
Input Parameters
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
RANDOM Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Uniform (0,1) Distribution
Normal Distribution
Exponential Distribution
Poisson Distribution
Gamma Distribution
Beta Distribution
Multivariate Normal Distribution
Binomial Distribution
Cauchy Distribution
Chi-squared Distribution
Mixed Exponential Distribution
Geometric Distribution
Hypergeometric Distribution
Logarithmic Distribution
Lognormal Distribution
Negative Binomial
Discrete Uniform Distribution
Student’s t Distribution
Triangular Distribution
von Mises Distribution
Weibull Distribution
Stable Distribution
Multinomial Distribution
Random Points on a K-dimensional Sphere
Random Permutation
Sample Indices
Example 1
Example 2: Poisson Distribution
Example 3: Beta Distribution
Example 4: Scaling the Results of RANDOM
Example 5: Multivariate Normal Distribution
FAURE_INIT Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
FAURE_NEXT_PT Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Probability Distribution Functions and Inverses
NORMALCDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
BINORMALCDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
CHISQCDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
If Two Input Arguments Are Used
If Three Input Arguments Are Used
Example
Informational Errors
Alert Errors
FCDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example 1
Example 2
Fatal Errors
TCDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
If Two Input Arguments Are Used
If Three Input Arguments Are Used
Example 1
Example 2
Informational Errors
GAMMACDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Informational Errors
Fatal Errors
BETACDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example 1
BINOMIALCDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Informational Errors
HYPERGEOCDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Informational Errors
Fatal Errors
POISSONCDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Informational Errors
Utilities
Introduction
User Errors
What Determines Error Severity
Kinds of Errors and Default Actions
Errors in Lower-Level Functions
Functions for Error Handling
DAYSTODATE Procedure
Usage
Input Parameters
Output Parameters
Discussion
Example
DATETODAYS Function
Usage
Input Parameters
Returned Value
Discussion
Example
CONSTANT Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example 1
Example 2
Warning Errors
MACHINE Function
Usage
Returned Value
Output Keywords
Discussion
Integer Information: IMACHINE
Floating- and Double-precision Information: FMACHINE and DMACHINE
Example
NANFINDER Procedure
Usage
Input Parameters
Output Parameters
Keywords
Example
NORM Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
MATRIX_NORM Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example 1
Example 2
Example 3
Example 4
Example 5
CMAST_ERR_STOP Function
Usage
Input Parameters
Discussion
CMAST_ERR_PRINT Procedure
Usage
Input Parameters
Discussion
Example
CMAST_ERR_TRANS Function
Usage
Output Parameters
Returned Value
Discussion
References
Summary of Routines
IMSL Statistics Reference Guide
Introduction
Comparison of Matrices vs. Arrays
Underflow and Overflow
Missing Values
User Errors
Errors and Default Actions
What Determines Error Severity
Functions for Error Handling
Use of CMAST_ERR_TRANS to Determine Program Action
Basic Statistics
Introduction
SIMPLESTAT Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
EMPIRICAL_QUANTILES Function
Usage
Input Parameters
Returned Value
Keywords
Discussion
Example
Output
NORM1SAMP Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
NORM2SAMP Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Inferences about the Means
Inferences about the Variances
Example 1
Example 2
FREQTABLE Function
Usage
Input Parameters
Returned Value
Input Keywords
IF Two Positional Arguments Are Used:
If Four Positional Arguments Are Used:
Discussion
If Two Positional Arguments Are Used:
If Four Positional Arguments Are Used:
Example 1: One-way Frequency Table
Example 2: Two-way Frequency Table
SORTDATA Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Sorting
Frequency Tabulation
Example 1
Example 2
RANKS Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Ties
Example
Regression
Introduction
Simple and Multiple Linear Regression
No Intercept Model
Variable Selection
Polynomial Model
Specification of X for the General Linear Model
Functions for Fitting the Model
Linear Dependence and the R Matrix
Nonlinear Regression Model
Weighted Least Squares
Summary Statistics
Tests for Lack-of-Fit
Diagnostics for Individual Cases
Transformations
Alternatives to Least Squares
Missing Values
REGRESSORS Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Remarks
Example 1
Example 2
MULTIREGRESS Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Remarks
Example 1
Example 2: Weighted Least-squares Fit
Example 3: Plotting Results
Example 4: Two-variable, Second-degree Fit
Warning Errors
MULTIPREDICT Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
Warning Errors
Fatal Errors
ALLBEST Procedure
Usage
Input Parameters
Input Keywords
Output Keywords
Discussion
Programming Notes
Example
Warning Errors
Fatal Errors
STEPWISE Procedure
Usage
Input Parameters
Input Keywords
Output Keywords
Discussion
Example
Warning Errors
Fatal Errors
POLYREGRESS Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
Warning Errors
Fatal Errors
POLYPREDICT Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
Warning Errors
Fatal Errors
NONLINREGRESS Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Programming Notes
Example 1
Example 2
Informational Errors
Warning Errors
HYPOTH_PARTIAL Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Warning Errors
HYPOTH_SCPH Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Warning Errors
HYPOTH_TEST Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
Warning Errors
Fatal Errors
NONLINOPT Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
Fatal Errors
LNORMREGRESS Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Least Absolute Value Criterion
Lp Norm Criterion
Least Minimum Value Criterion (minimax)
Example 1
Example 2
Example 3
Correlation and Covariance
Introduction
COVARIANCES Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Usage Notes
Example
Warning Errors
PARTIAL_COV Function
Usage
Input Parameters
Returned Value
Input Keywords
Input/Output Keywords
Output Keywords
Discussion
Example 1
Example 2
Warning Errors
Fatal Errors
POOLED_COV Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Warning Errors
ROBUST_COV Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
Analysis of Variance and Designed Experiments
Introduction
Completely Randomized Experiments
Factorial Experiments
Blocking
Multiple Locations
Split-Plot Designs—Nesting and Restricted Randomization
Strip-Plot Designs
Split-Split Plot and Strip-Split Plot Experiments
Validating Key Assumptions in ANOVA
Missing Observations
ANOVA1 Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Example 2: Multiple Comparisons
ANCOVAR Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Output
Example 2
Output
ANOVAFACT Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Example 2: Two-way ANOVA
Example 3: Three-way ANOVA
ANOVANESTED Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
ANOVABALANCED Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
CRD_FACTORIAL Function
Usage
Input Parameters
Returned Value
Output Keywords
Discussion
Example
Output
RCBD_FACTORIAL Function
Usage
Input Parameters
Returned Value
Output Keywords
Discussion
Example
Output
LATIN_SQUARE Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Output
LATTICE_DESIGN Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Output
Example 2
Output
SPLIT_PLOT Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Output
SPLIT_SPLIT_PLOT Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Output
STRIP_PLOT Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Output
STRIP_SPLIT_PLOT Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Output
HOMOGENEITY Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Output
MULTICOMP Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
YATES Function
Usage
Input/Output Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Output
Categorical and Discrete Data Analysis
Introduction
CONTINGENCY Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Notation
Chi-squared Statistic
Measures Related to Chi-squared (Phi, Contingency Coefficient, and Cramer’s V)
Standard Errors and p-values for Some Measures of Association
Measures of Association for Ranked Rows and Columns
Measures of Prediction and Uncertainty
Example 1
Example 2
Warning Errors
EXACT_ENUM Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
EXACT_NETWORK Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Warning Errors
Fatal Errors
CAT_GLM Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Remarks
Discussion
Computational Details
Programming Notes
Example 1
Warning Errors
Fatal Errors
Nonparametric Statistics
Introduction
Missing Values
Tied Observations
SIGNTEST Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
WILCOXON Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
If Two Positional Arguments Are Supplied
Hypothesis Tests
Assumptions
If One Positional Argument is Supplied
Hypothesis Tests
Assumptions
Example 1
Example 2
Example 3
Warning Errors
Fatal Errors
NCTRENDS Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
CSTRENDS Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Location Test
Dispersion Test
Ties
Hypothesis tests
Assumptions
Example
TIE_STATS Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
KW_TEST Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
FRIEDMANS_TEST Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Assumptions
Example
COCHRANQ Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Assumptions
Hypothesis
Remarks
Example
Warning Errors
Fatal Errors
KTRENDS Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Computational Procedure
Assumptions
Hypothesis tests
Example
Goodness of Fit
Introduction
CHISQTEST Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Programming Notes
Example
Warning Errors
Fatal Errors
SHAPIRO_WILK_NORMALITY_TEST Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Output
LILLIEFORS_NORMALITY_TEST Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Output
Warning Errors
Fatal Errors
CHI_SQUARED_NORMALITY_TEST Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Output
NORMALITY Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Chi-Squared Test
Shapiro-Wilk W Test
Lilliefors Test
Example 1
Example 2
Warning Errors
Fatal Errors
KOLMOGOROV1 Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Programming Notes
Example
KOLMOGOROV2 Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
MVAR_NORMALITY Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
RANDOMNESS_TEST Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Runs_Counts is specified
Pairs_Counts, Dsquare_Counts, or Dcube_Counts is specified:
Discussion
Runs Up Test
Pairs Test
d2 Test
Triplets Test
Example 1
Example 2
Example 3
Example 4
Time Series and Forecasting
Introduction
General Methodology
Time Domain Methodology
ARIMA Model (Autoregressive Integrated Moving Average)
ARMA Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Method-of-moments Estimation
Least-squares Estimation
Forecasting Option
Example 1
Example 2
Example 3
MAX_ARMA Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Output
Example 2
Output
AUTO_UNI_AR Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Output
TS_OUTLIER_IDENTIFICATION Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Output
Example 2
Output
TS_OUTLIER_FORECAST Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Step 1
Step 2
Example
Output
AUTO_ARIMA Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Model Selection
Method 1: Automatic ARIMA Selection
Method 2: Grid Search
Method 3: Specified ARIMA Model
Outliers
Example 1
Output
Example 2
Output
Example 3
Output
DIFFERENCE Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
Fatal Errors
SEASONAL_FIT Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Output
BOXCOXTRANS Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example 1
Example 2
Fatal Errors
CROSSCORRELATION Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Output
AUTOCORRELATION Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
MULTI_CROSS Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Output
PARTIAL_AC Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
LACK_OF_FIT Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
ESTIMATE_MISSING Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Output
GARCH Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
KALMAN Procedure
Usage
Input/Output Parameters
Input Keywords
Output Keywords
Discussion
Example 1
Multivariate Analysis
Introduction
Cluster Analysis
Principal Components
Factor Analysis
DISSIMILARITIES Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Output
CLUSTER_HIERARCHICAL Procedure
Usage
Input Parameters
Input Keywords
Output Keywords
Discussion
Comments
Example
Output
CLUSTER_NUMBER Function
Usage
Input Parameters
Returned Value
Output Keywords
Discussion
Example 1
Output
Example 2
Output
K_MEANS Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Warning Errors
PRINC_COMP Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
Warning Errors
FACTOR_ANALYSIS Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Principal Component and Principal Factor Methods
Least-squares and Maximum Likelihood Methods
Image Analysis
Alpha-factor Analysis
Comments
Example 1
Example 2
Warning Errors
Fatal Errors
DISCR_ANALYSIS Procedure
Usage
Input Parameters
Input Keywords
Output Keywords
Comments
Discussion
Example
Warning Errors
Fatal Errors
Survival Analysis
Introduction
KAPLAN_MEIER_ESTIMATES Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
Output
PROP_HAZARDS_GEN_LIN Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Programming Notes
Example
Output
SURVIVAL_GLM Function
Usage
Input Parameters
Returned Value
Input Keywords
Estimation Input Keywords
Output Keywords
Estimation Output Keywords
Comments
Discussion
Computational Details
Programming Notes
Example 1
Example 2
Example 3
Example 4
Warning Errors
Fatal Error
NONPARAM_HAZARD_RATE Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Programming Notes
Example
Output
Errors
LIFE_TABLES Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Output
Probability Distribution Functions and Inverses
Introduction
Discrete Random Variables
Discrete Random Variables
Continuous Distributions
Additional Comments
BINOMIALCDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Informational Errors
BINOMIALPDF Function
Usage
Input Parameters
Returned Value
Discussion
Example
HYPERGEOCDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Informational Errors
Fatal Errors
HYPERGEOPDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
POISSONCDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Informational Errors
POISSONPDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
BETACDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
BINORMALCDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
CHISQCDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
If Two Input Arguments Are Used
If Three Input Arguments Are Used
Example
Informational Errors
Alert Errors
NON_CENTRAL_CHI_SQ_PDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Output
FCDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Fatal Errors
COMPLEMENTARY_F_CDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Output
NON_CENTRAL_F_PDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Output
NON_CENTRAL_F_CDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Output
GAMMACDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example 1
Example 2
Informational Errors
Fatal Errors
NORMALCDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
MULTIVARIATE_NORMAL_CDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Output
Example 2
Output
Warning Errors
Fatal Errors
TCDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
If Two Input Arguments Are Used
If Three Input Arguments Are Used
Example
Informational Errors
COMPLEMENTARY_T_CDF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Output
Random Number Generation
Introduction
Basic Uniform Generator
Multiplicative Congruential Generators
Shuffled Generators
Generalized Feedback Shift Register Generator
Setting Seed
Timing Considerations
Distributions Other than Uniform
Tests
Additional Notes on Usage
RANDOMOPT Procedure
Usage
Input Parameters
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
RANDOM_TABLE Procedure
Usage
Input/Output Parameters
Input Keywords
Discussion
Example
RANDOM Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Uniform (0,1) Distribution
Normal Distribution
Exponential Distribution
Poisson Distribution
Gamma Distribution
Beta Distribution
Multivariate Normal Distribution
Binomial Distribution
Cauchy Distribution
Chi-squared Distribution
Mixed Exponential Distribution
Geometric Distribution
Hypergeometric Distribution
Logarithmic Distribution
Lognormal Distribution
Negative Binomial
Discrete Uniform Distribution
Student’s t Distribution
Triangular Distribution
von Mises Distribution
Weibull Distribution
Stable Distribution
Multinomial Distribution
Random Points on a K-dimensional Sphere
Random Permutation
Sample Indices
Example 1
Example 2: Poisson Distribution
Example 3: Beta Distribution
Example 4: Scaling the Results of RANDOM
Example 5: Multivariate Normal Distribution
RANDOM_NPP Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
RANDOM_ORDER Function
Usage
Input Parameters
Input Keywords
Returned Value
Discussion
Example
RAND_TABLE_2WAY Function
Usage
Input Parameters
Returned Value
Discussion
Example
RAND_ORTH_MAT Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
RANDOM_SAMPLE Function
Usage
Input Parameters
Returned Value
Input Keywords
Input/Output Keywords
Discussion
Example 1
Example 2
RAND_FROM_DATA Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
CONT_TABLE Procedure
Usage
Input Parameters
Input/Output Parameters
Input Keywords
Discussion
Example
RAND_GEN_CONT Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
DISCR_TABLE Function
Usage
Input Parameters
Input/Out Parameters
Returned Value
Input Keywords
Discussion
Example 1
Example 2
RAND_GEN_DISCR Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example 1
Example 2
RANDOM_ARMA Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Example 2
Warning Errors
FAURE_INIT Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
FAURE_NEXT_PT Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
RANDOM_MT32_INIT Procedure
Usage
Input Parameters
Discussion
Example
Output
RANDOM_MT64_INIT Procedure
Usage
Input Parameters
Discussion
Example
Output
Data Mining
Genetic Algorithms
Genetic Algorithms
Naive Bayes
Neural Networks
Data Mining Introduction
Data Filtering
Genetic Algorithms
Naive Bayes
Neural Networks
Genetic Algorithms Overview
Data Structures
Alleles
Chromosomes
Individuals
Population
Fitness and Penalty Functions
The Genetic Algorithm
Selection
Reproduction and Crossover
Mutation
Fitness and Phenotype Constraints
Artificial Populations
Mapping Phenotypes into Chromosomes
Describing Individuals and the Population
Selection
Reproduction and Crossover
Mutation
GA_CHROMOSOME Function
Usage
Returned Value
Input Keywords
Discussion
Example
Output
GA_INDIVIDUAL Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Output
GA_MUTATE Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
GA_DECODE Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
GA_ENCODE Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
GA_POPULATION Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Output
GA_RANDOM_POPULATION Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Output
GA_GROW_POPULATION Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
GA_MERGE_POPULATION Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
GENETIC_ALGORITHM Function
Synopsis
Required Arguments
Return Value
Input Keywords
Output Keywords
Discussion
Example 1
Output
Example 2
Output
Example 3
Output
Naive Bayes Overview
NAIVE_BAYES_TRAINER Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Output
Example 2
Output
Example 3
NAIVE_BAYES_CLASSIFICATION Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example 1
Output
Example 2
Output
Neural Networks Overview
Neural Networks – History and Terminology
The Threshold Neuron
The Perceptron
The Activation Function
Network Applications
Forecasting using Neural Networks
Pattern Recognition using Neural Networks
Neural Networks for Classification
Multilayer Feedforward Neural Networks
Neural Network Error Calculations
Error Calculations for Forecasting
Cross-Entropy Error for Binary Classification
Cross-Entropy Error for Multiple Classes
Back-Propagation in Multilayer Feedforward Neural Networks
MLFF_NETWORK_INIT Function
Usage
Input Parameters
Returned Value
Discussion
Example
MLFF_NETWORK Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Example
MLFF_INITIALIZE_WEIGHTS Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Equal Weights (Init_weights_method=IMSLS_EQUAL)
Random Weights (Init_weights_method=IMSLS_RANDOM)
Principal Component Weights (Init_weights_method=IMSLS_PRINCIPAL_COMPONENTS)
Discriminant Weights (Init_weights_method=IMSLS_DISCRIMINANT)
Example 1
Output
Example 2
Output
MLFF_NETWORK_TRAINER Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Training Data
Network Configuration
Training Efficiency
Output
Example
Output
MLFF_NETWORK_FORECAST Function
Usage
Input Parameters
Returned Value
Discussion
Example
Output
MLFF_CLASSIFICATION_TRAINER Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Training Patterns
Network Configuration
Training Efficiency
Output
Example 1
Output
Example 2
Output
MLFF_PATTERN_CLASSIFICATION Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Pattern Classification Attributes
Network Configuration
Classification Probabilities
Example 1
Output
Example 2
Output
SCALE_FILTER Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Method ±1: Bounded Scaling and Unscaling
Method +2 or +3: Unbounded z-score Scaling
Method -2 or -3: Unbounded z-score Unscaling
Method +4 or +5: Bounded z-score Scaling
Method -4 or -5: Bounded z-score unscaling
Example
Output
TIME_SERIES_FILTER Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Output
TIME_SERIES_CLASS_FILTER Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Output
UNSUPERVISED_NOMINAL_FILTER Function
Usage
Input Parameters
Returned Value
Input Keywords
Output Keywords
Discussion
Binary Encoding
Binary Decoding
Example
Output
UNSUPERVISED_ORDINAL_FILTER Procedure
Usage
Input Parameters
Input Keywords
Output Keywords
Discussion
Ordinal Filtering: ENCODE
Ordinal UnFiltering: DECODE
Example
Output
Utilities
Introduction
User Errors
What Determines Error Severity
Kinds of Errors and Default Actions
Errors in Lower-Level Functions
Functions for Error Handling
MACHINE Function
Usage
Returned Value
Output Keywords
Discussion
Integer Information: IMACHINE
Floating- and Double-precision Information: FMACHINE and DMACHINE
Example
STATDATA Function
Usage
Input Parameters
Returned Value
Input Keyword
Discussion
Example
BINOMIALCOEF Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
BETA Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Alert Errors
Fatal Errors
BETAI Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
LNBETA Function
Usage
Input Parameter
Returned Value
Input Keywords
Discussion
Example
Warning Errors
GAMMA_ADV Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Alert Errors
Warning Errors
Fatal Errors
GAMMAI Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Fatal Errors
LNGAMMA Function
Usage
Input Parameters
Returned Value
Input Keywords
Discussion
Example
Warning Errors
Fatal Errors
CMAST_ERR_TRANS Function
Usage
Output Parameters
Returned Value
Discussion
CMAST_ERR_STOP Function
Usage
Input Parameters
Discussion
CMAST_ERR_PRINT Function
Usage
Input Parameters
Discussion
Example
References
Summary of Routines
JWAVE User Guide
JWAVE System Introduction
Client Side
Server Side
JWAVE Manager
PV-WAVE Sessions
JWAVE Wrappers
Cloud Computing
PV-WAVE Applications
Simple Example
Client Java Application
The JWAVE Wrapper Function
Running the Application
Sample Output
Summary
Generic JWAVE Applet
Simple Applet Example
HTML Code
JWAVE Wrapper Function
Example Summary
Using JavaScript to Control the Applet
HTML File with JavaScript
JWAVE Wrapper
GETPARAM Function
GET_NAMED_COLOR Function
Running Applet Demonstrations
Summary
JWAVE Client Development
JWAVE Client Overview
JWaveExecute Class
Passing Parameters from the Client
Getting Data Back from the Server
Casting Returned Data
Exception Classes
Managing the Server Connection
Compressing Data
Ending a JWAVE Session
Using Multiple Clients
Using Ping Methods
Example: Passing an Array
Note About Data Proxies
Using the JWAVE Javadoc Reference
Summary
JWAVE Graphics
Returning Graphics to the Client
JWaveCanvas and JWavePanel Class
Viewable Object
JWaveView Class
Sample Code
Example: Displaying a Simple 2D Plot
Resizing Graphics
Coordinate System Transformations
Demonstration Programs
Summary
JWAVE Server Development
JWAVE Server Overview
Writing JWAVE Wrapper Functions
Example: Simple JWAVE Wrapper
Input Parameter: client_data
GETPARAM Function
RETURN Statement
Wrapper Functions Must Be Compiled
Using GETPARAM to Unpack Parameters
What Do You Want To Unpack?
Unpacking Values
Using the Default Keyword
The Expect* Keywords
Unpacking Command Strings
Positional vs. Keyword Parameters
Unpacking Positional Parameters
Unpacking Keyword Parameters
Building a PV-WAVE EXECUTE Command
Unpacking Color Data
Returning Multiple Results to the Client
Returning Graphical Data to the Client
Example: A Typical JWAVE Wrapper
Unpacking the Parameters
Unpacking Values
Unpacking Keywords
Unpacking Positional Parameters
Unpacking Color Information with GET_NAMED_COLOR
RETURN Statement
You Can Only Retrieve Parameters Once
Error Handling
Using the MESSAGE Procedure
Trapping Errors
Using the Expect Keywords
Testing Wrapper Functions
Testing a Numerical Program
Testing a Graphics Program
Summary
Managing Data
JWAVE Data Proxy
Instantiating a JWaveDataProxy Object
Other Ways to Instantiate a JWaveDataProxy Object
Efficiency of Using Data Proxies
Inefficient System: The Data Makes Two Round Trips
Efficient System: No Round Trips
Setting the Return Parameter Mode
Example: Using Data Proxies
Java Client Program
First JWAVE Wrapper
Second JWAVE Wrapper
Java Client Output
Data Proxies Are Controlled by the Client
How Long is Proxy Data Stored on the Server
Summary
Using JWAVE Beans
Using JWAVE Beans with BeanBox
Step 1: Modify Your CLASSPATH
Step 2: Copy JWaveBeans.jar
Optional: Modify the Startup Script
Step 3: Start the BeanBox
Step 4: Try Out the JWAVE Bean Tester and Surface Tool
Step 4: Customize the Surface Bean
Building a JWAVE Bean
Deciding What the Bean Will Do
Adding Properties to Bean
Handling Data
Using the Proxy Class to Exchange Data
Using Events to Exchange Data
Including Bound Properties to Exchange New Data
Telling a Bean Environment How to Use Your Bean
Using a BeanInfo Class
Using Property Editor Classes
Building a Customizer for the Bean
Methods
Adding Serializability to the Bean
JWAVE Server Configuration
Installation Overview
Directories after JWAVE Installation
Additional Software Requirements
Setting Up the JWAVE Server
Making or Modifying the Configuration Files
Configuration Files
Remaking the Configuration Files
Using the JWAVE Manager
JWAVE Manager Startup Command Options
Shutting Down the JWAVE Manager
JWAVE Server Options
Direct Socket Connection Option
CGI Connection Method
Using the JWAVE Web Server
Using the JWAVE Servlet
Using the JWAVE Configuration Tool
Starting the JWAVE Configuration Tool
Manager Properties
Modifying a Property
Resetting a Single Property to Its Default
Adding Properties
JWAVE Manager Configuration Properties
Client Connection Info
Installing JWAVE Manager as Service on Windows
Installing JWAVE Service
Configuring JWAVE Service
Stopping the JWAVE Service
Starting and Stopping JWAVE Service from Command Line
Removing JWAVE Service
Cloud Computing
Running and Testing the JWAVE Server
Starting the JWAVE Manager
Testing to See If the JWAVE Manager is Running
Configuring the JWAVE Manager for HTTP Connections
Allowing access to external HTTP servers
Testing the JWAVE Server Installation
Scalar Data Test
Array Data Test
Return Mode Test
View Test
Running JWAVE Demonstrations
Setting Up for JWAVE Client Development
Advanced Graphics Features
Advanced Features
JWaveCanvas2D and JWavePanel2D
Pick Point
Example
Zoom
Example
Profile
Example
JWaveCanvas3D and JWavePanel3D
Rotate
Example
Getting Started
Client-Side Development
Server-Side Development
Example Applets
Running the Demonstration Applets
Running the Demo Applets
Using appletviewer
Using a Browser
PV‑WAVE Wrappers Used by the Demos
JSPs, Servlets, and JWAVE
Benefits of this Architecture
What is the JWaveJSPServlet?
Location of the JWaveJSPServlet
Purpose of the JWaveJSPServlet
Overview of the JWaveJSPServlet
JWaveImageManager
Setting Up the JWaveJSPServlet
System Requirements
Setting Up the JWAVE Server
Running the JWaveJSPServlet
Understanding the JWaveJSPServlet
JSP Files
JWAVE Wrappers
Inside the JWaveJSPServlet: GET Requests, POST Requests, and the JWaveImageManager
The POST Request
GET Request
Writing Your Own JWaveJSPServlet
How Image Maps are Handled
Writing the JWAVE Wrappers
PACKIMAGE Function
PACKTABLE Function
SETIMAGESIZE Procedure
Example
JWAVE Wrapper API
DMCopyData Procedure
Usage
Input Parameters
Discussion
Examples
See Also
DMDataExists Function
Usage
Input Parameters
Returned Value
Discussion
Examples
See Also
DMEnumerateData Function
Usage
Input Parameters
Returned Value
Discussion
Examples
See Also
DMGetData Function
Usage
Input Parameters
Returned Value
Discussion
Examples
See Also
DMInit Procedure
Usage
Input Parameters
Discussion
See Also
DMRemoveData Procedure
Usage
Input Parameters
Discussion
Examples
See Also
DMRenameData Procedure
Usage
Input Parameters
Discussion
Examples
See Also
DMRestore Procedure
Usage
Input Parameters
Keywords
Examples
See Also
DMSave Procedure
Usage
Input Parameters
Keywords
Examples
See Also
DMStoreData Procedure
Usage
Input Parameters
Discussion
Examples
See Also
GETPARAM Function
Usage
Input Parameters
Keywords
Discussion
Returning Single Values
Returning Positional Parameters
Returning Keyword Parameters
Returning All Keyword Parameters
Parameters Are Retrieved Once
Notes and Restrictions
Examples
See Also
GET_NAMED_COLOR Function
Usage
Input Parameters
Input Keywords
Output Keywords
Returned Value
Discussion
Managing the Color Table
Notes and Restrictions
Examples
See Also
PACKIMAGE Procedure
Usage
Input Parameters
Keywords
Discussion
Example
See Also
PACKTABLE Procedure
Usage
Input Parameters
Keywords
Discussion
Example
See Also
SETIMAGESIZE Procedure
Usage
Input Parameters
Example
See Also
UPDATE_LOG Procedure
Usage
Input Parameters
Keywords
Discussion
WRAPPER_TEST_EXECUTE Procedure
Usage
Parameters
Discussion
Example
See Also
WRAPPER_TEST_GETRETURN Function
Usage
Input Parameters
Returned Value
Discussion
Example
See Also
WRAPPER_TEST_INIT Procedure
Usage
Input Parameters
Discussion
Examples
See Also
WRAPPER_TEST_RETURN_INFO Procedure
Usage
Parameters
Discussion
Example
See Also
WRAPPER_TEST_SETCOLOR Procedure
Usage
Input Parameters
Keywords
Discussion
Example
See Also
WRAPPER_TEST_SETPARAM Procedure
Usage
Input Parameters
Discussion
Example
See Also
JWAVE Convenience Wrappers
JWAVE_BAR3D Function
Parameters
Keyword Parameters
Named Color Parameters
Named ColorSet Parameters
Returns
Example
See Also
JWAVE_CONTOUR Function
Parameters
Keyword Parameters
Named Color Parameters
Named ColorSet Parameters
Returns
Example
See Also
JWAVE_HISTOGRAM Function
Parameters
Keyword Parameters
Named Color Parameters
Returns
Example
See Also
JWAVE_LOADCT Procedure
Usage
Input Parameters
Input Keywords
Output Keywords
Discussion
Examples
See Also
JWAVE_PIE Function
Parameters
Keyword Parameters
Named Color Parameters
Named ColorSet Parameters
Returns
Example
See Also
JWAVE_PLOT Function
Parameters
Keyword Parameters
Named Color Parameters
Returns
Example
See Also
JWAVE_SURFACE Function
Parameters
Keyword Parameters
Named Color Parameters
Returns
Example
See Also
Keyword and Named Color Parameters
Using These Parameters
Using These Parameters
Keyword Parameters
Ax
Az
Box
C_Annotation
C_Charsize
Charsize
Charthick
C_Labels
C_Linestyle
Clip
C_Thick
Follow
Font
Gridstyle
Levels
Linestyle
Max_Value
NLevels
Noclip
Nodata
Noerase
Nsum
Polar
Position
Psym
Skirt
Solid_Psym
Spline
Subtitle
Symsize
Thick
Tickformat
Ticklen
Title
XCharsize, YCharsize, ZCharsize
XGridstyle, YGridstyle, ZGridstyle
XMargin, YMargin, ZMargin
XMinor, YMinor, ZMinor
XRange, YRange, ZRange
XStyle, YStyle, ZStyle
XTickformat, YTickformat, ZTickformat
XTicklen, YTicklen, ZTicklen
XTickname, YTickname, ZTickname
XTicks, YTicks, ZTicks
XTickv, YTickv, ZTickv
XTitle, YTitle, ZTitle
XType, YType, ZType
YNozero
ZAxis
Named Color Parameters
Axis
Background
Bottom
Color
Named ColorSet Parameters
C_Colors
ColumnColors
Fill_Colors
RowColors
HTTP Configuration File
General Parameters
Directory Mapping
Mime Types Mapping
JWAVE Bean Tools Reference
JWAVE Bar3d Tool
Input
Customizer Reference
Titles Tab
Rotations Tab
Colors Tab
Columns Tab
JWAVE Contour Tool
Input
Customizer Reference
Contour Parameters Tab
Plot Basics Tab
Levels Tab
JWAVE Generic Tool
Customizer Reference
Plot Properties Tab
Colors Tab
JWAVE Histogram Tool
Input
Customizer Reference
Titles Tab
Histogram Properties Tab
Colors Tab
Axis Tab
JWAVE Pie Tool
Input
Customizer Reference
Labels Tab
Dimensions Tab
Colors Tab
Slices Tab
JWAVE Plot Tool
Input
Customizer Reference
Titles Tab
Colors Tab
Plot Tab
Data Tab
Y Data
X Data
JWAVE Surface Tool
Input
Customizer Reference
Titles Tab
Colors Tab
Plot Tab
Data Tab
Glossary
API
applet (Java)
application (Java)
BDK
BeanBox
Beans
CGI
class
client (JWAVE)
configuration tool
customizer
Data Manager
domain
event
HTML
JAR files
Java
JavaBeans
Javadoc
JavaScript
JDK
JWAVE
JWAVE Beans
JWAVE Manager
JWAVE wrapper
keyword
log
Manager
method
pack
persistence (of data)
ping
proxy
PV-WAVE
PV-WAVE application
PV-WAVE session
serialize
server (JWAVE)
Service, Windows
socket
Swing components
unpack
Web server
wrapper
Security Warning
IMSL Mathematics Reference Guide
Security Warning
MATH
INV
LUSOL
LUFAC
CHSOL
CHFAC
QRSOL
QRFAC
SVDCOMP
CHNNDSOL
CHNNDFAC
LINLSQ
SP_LUSOL
SP_LUFAC
SP_BDSOL
SP_BDFAC
SP_PDSOL
SP_PDFAC
SP_BDPDSOL
SP_BDPDFAC
SP_GMRES
SP_CG
SP_MVMUL
EIG
EIGSYMGEN
GENEIG
CSINTERP
CSSHAPE
BSINTERP
BSKNOTS
SPVALUE
SPINTEG
FCNLSQ
BSLSQ
CONLSQ
CSSMOOTH
WGSPLINETOOL
SMOOTHDATA1D
POLYEVAL
WENDCOEF
POLYFITN
SCAT2DINTERP
RADBF
RADBE
RBFIMSCL
INTFCN
INTFCNHYPER
INTFCN_QMC
GQUAD
DERIV
FCN_DERIV
ODE
ODEBV
DEA_PETZOLD_GEAR
PDE_1D_MG
PDE_MOL
FEYNMAN_KAC
FEYNMAN_KAC_EVALUATE
POISSON2D
FFTCOMP
FFTINIT
CONVOL1D
CORR1D
LAPLACE_INV
ZEROPOLY
ZEROS_FUNCTION
ZEROFCN
ZEROSYS
FMIN
MIN_UNCON_GOLDEN
FMINV
NLINLSQ
LINEAR_PROGRAMMING
LINPROG
QUADPROG
MINCONGEN
NONLINPROG
CONSTRAINED_NLP
ERF
ERFCE
ERFE
ERFC
GAMMA
BESSI
BESSJ
BESSK
BESSY
BESSI_EXP
BESSK_EXP
ELK
ELE
ELRF
ELRD
ELRJ
ELRC
FRESNEL_COSINE
FRESNEL_SINE
AIRY_AI
AIRY_BI
HERMITE
KELVIN_BER0
KELVIN_BEI0
KELVIN_KER0
KELVIN_KEI0
LEGENDRE
CUM_INTR
CUM_PRINC
DEPRECIATION_DB
DEPRECIATION_DDB
DEPRECIATION_SLN
DEPRECIATION_SYD
DEPRECIATION_VDB
DOLLAR_DECIMAL
DOLLAR_FRACTION
EFFECTIVE_RATE
FUTURE_VALUE
FUTURE_VAL_SCHD
INT_PAYMENT
INT_RATE_ANNUITY
INT_RATE_RETURN
INT_RATE_SCHD
MOD_INTERN_RATE
NET_PRES_VALUE
NOMINAL_RATE
NUM_PERIODS
PAYMENT
PRESENT_VALUE
PRES_VAL_SCHD
PRINC_PAYMENT
ACCR_INT_MAT
ACCR_INT_PER
BOND_EQV_YIELD
CONVEXITY
COUPON_DAYS
COUPON_NUM
SETTLEMENT_DB
COUPON_DNC
DEPREC_AMORDEGRC
DEPREC_AMORLINC
DISCOUNT_PR
DISCOUNT_RT
DISCOUNT_YLD
DURATION
INT_RATE_SEC
DURATION_MAC
COUPON_NCD
COUPON_PCD
PRICE_PERIODIC
PRICE_MATURITY
MATURITY_REC
TBILL_PRICE
TBILL_YIELD
YEAR_FRACTION
YIELD_MATURITY
YIELD_PERIODIC
DAYSTODATE
DATETODAYS
CONSTANT
NANFINDER
NORM
MATRIX_NORM
STAT
SIMPLESTAT
EMPIRICAL_QUANTILES
NORM1SAMP
NORM2SAMP
FREQTABLE
SORTDATA
RANKS
COVARIANCES
PARTIAL_COV
POOLED_COV
ROBUST_COV
ANOVA1
ANCOVAR
ANOVAFACT
ANOVANESTED
ANOVABALANCED
CRD_FACTORIAL
RCBD_FACTORIAL
LATIN_SQUARE
LATTICE_DESIGN
SPLIT_PLOT
SPLIT_SPLIT_PLOT
STRIP_PLOT
STRIP_SPLIT_PLOT
HOMOGENEITY
MULTICOMP
YATES
CONTINGENCY
EXACT_ENUM
EXACT_NETWORK
CAT_GLM
SIGNTEST
WILCOXON
NCTRENDS
CSTRENDS
TIE_STATS
KW_TEST
FRIEDMANS_TEST
COCHRANQ
KTRENDS
CHISQTEST
SHAPIRO_WILK_NORMALITY_TEST
LILLIEFORS_NORMALITY_TEST
CHI_SQUARED_NORMALITY_TEST
NORMALITY
KOLMOGOROV1
KOLMOGOROV2
MVAR_NORMALITY
RANDOMNESS_TEST
ARMA
MAX_ARMA
AUTO_UNI_AR
TS_OUTLIER_IDENTIFICATION
TS_OUTLIER_FORECAST
AUTO_ARIMA
DIFFERENCE
SEASONAL_FIT
BOXCOXTRANS
CROSSCORRELATION
AUTOCORRELATION
MULTI_CROSS
PARTIAL_AC
LACK_OF_FIT
ESTIMATE_MISSING
GARCH
KALMAN
DISSIMILARITIES
CLUSTER_HIERARCHICAL
CLUSTER_NUMBER
K_MEANS
PRINC_COMP
FACTOR_ANALYSIS
DISCR_ANALYSIS
KAPLAN_MEIER_ESTIMATES
PROP_HAZARDS_GEN_LIN
SURVIVAL_GLM
NONPARAM_HAZARD_RATE
LIFE_TABLES
BINOMIALCDF
BINOMIALPDF
HYPERGEOCDF
HYPERGEOPDF
POISSONCDF
POISSONPDF
BETACDF
BINORMALCDF
CHISQCDF
NON_CENTRAL_CHI_SQ_PDF
FCDF
COMPLEMENTARY_F_CDF
NON_CENTRAL_F_PDF
NON_CENTRAL_F_CDF
GAMMACDF
NORMALCDF
MULTIVARIATE_NORMAL_CDF
TCDF
COMPLEMENTARY_T_CDF
RANDOMOPT
RANDOM_TABLE
RANDOM
RANDOM_NPP
RANDOM_ORDER
RAND_TABLE_2WAY
RAND_ORTH_MAT
RANDOM_SAMPLE
RAND_FROM_DATA
CONT_TABLE
RAND_GEN_CONT
DISCR_TABLE
RAND_GEN_DISCR
RANDOM_ARMA
FAURE_INIT
FAURE_NEXT_PT
RANDOM_MT32_INIT
RANDOM_MT64_INIT
GA_CHROMOSOME
GA_INDIVIDUAL
GA_MUTATE
GA_DECODE
GA_ENCODE
GA_POPULATION
GA_RANDOM_POPULATION
GA_GROW_POPULATION
GA_MERGE_POPULATION
GENETIC_ALGORITHM
NAIVE_BAYES_TRAINER
NAIVE_BAYES_CLASSIFICATION
MLFF_NETWORK_INIT
MLFF_NETWORK
MLFF_INITIALIZE_WEIGHTS
MLFF_NETWORK_TRAINER
MLFF_NETWORK_FORECAST
MLFF_CLASSIFICATION_TRAINER
MLFF_PATTERN_CLASSIFICATION
SCALE_FILTER
TIME_SERIES_FILTER
TIME_SERIES_CLASS_FILTER
UNSUPERVISED_NOMINAL_FILTER
UNSUPERVISED_ORDINAL_FILTER
MACHINE
STATDATA
BINOMIALCOEF
BETA
BETAI
LNBETA
GAMMA_ADV
GAMMAI
LNGAMMA
CMAST_ERR_TRANS
CMAST_ERR_STOP
CMAST_ERR_PRINT
JWAVE