Module WSTATS in WAFO Toolbox. Version 2.1.1 07-Sep-2005 What's new Readme - New features, bug fixes, and changes in WSTATS. Parameter estimation loglike - Log-likelihood function wbetafit - Parameter estimates for Beta data wchi2fit - Parameter estimates for Chi squared data wexpfit - Parameter estimates for Exponential data wgamfit - Parameter estimates for Gamma data wgamafit - Is an internal routine for wgamfit wgevfit - Parameter estimates for GEV data wgevlike - Is an internal routine for wgevfit wggamfit - Parameter estimates for Generalized Gamma data wggambfit - Is an internal routine for wggamfit wgpdfit - Parameter estimates for GPD data wgpdfit_ml - Internal routine for wgpdfit (ML estimates for GPD data) wgumbfit - Parameter estimates for Gumbel data wgumbafit - Is an internal routine for wgumbfit winvgfit - Parameter estimates for Inverse Gaussian data wlognfit - Parameter estimates for Lognormal data wnormfit - Parameter estimates for Normal data wraylfit - Parameter estimates for Rayleigh data wtraylfit - Parameter estimates for Truncated Rayleigh data wtfit - Parameter estimates for Student's T data wweibfit - Parameter estimates for Weibull data wweibcfit - Is an internal routine for wweibfit wtweibfit - Parameter estimates for Truncated Weibull data wtweibfun - Is an internal routine for wtweibfit weib2dfit - Parameter estimates for 2D Weibull data weib2dlike - 2D Weibull log-likelihood function dist2dfit - Parameter estimates for DIST2D data dist2dsmfun - Smooths the conditional DIST2D distribution parameters dist2dsmfun2 - Smooths the conditional DIST2D distribution parameters mdist2dfit - Parameter estimates for MDIST2D data mdist2dlike - MDIST log-likelihood function Probability density functions (pdf) wbetapdf - Beta probability density function wchi2pdf - Chi squared probability density function wexppdf - Exponential probability density function wfpdf - Snedecor's F probability density function wfrechpdf - Frechet probability density function wgampdf - Gamma probability density function wggampdf - Generalized Gamma probability density function wgevpdf - Generalized Extreme Value probability density function wgpdpdf - Generalized Pareto probability density function wgumbpdf - Gumbel probability density function winvgpdf - Inverse Gaussian probability density function wlognpdf - Lognormal probability density function wnormpdf - Normal probability density function mvnormpdf - Multivariate Normal probability density function wraylpdf - Rayleigh probability density function wtraylpdf - Truncated Rayleigh probability density function wtpdf - Student's T probability density function wweibpdf - Weibull probability density function wtweibpdf - Truncated Weibull probability density function weib2dpdf - 2D Weibull probability density function (pdf) weib2dpdf2 - Joint 2D Weibull probability density function dist2dpdf - Joint 2D PDF computed as f(x1|X2=x2)*f(x2) dist2dpdf2 - Joint 2D PDF computed as f(x1|X2=x2)*f(x2) mdist2dpdf - Joint 2D PDF due to Plackett given as f{x1}*f{x2}*G(x1,x2;Psi) mdist2dpdf2 - Joint 2D PDF due to Plackett given as f{x1}*f{x2}*G(x1,x2;Psi) Cumulative distribution functions (cdf) wbetacdf - Beta cumulative distribution function wchi2cdf - Chi squared cumulative distribution function wexpcdf - Exponential cumulative distribution function wfcdf - Snedecor's F cumulative distribution function wfrechcdf - Frechet cumulative distribution function wgamcdf - Gamma cumulative distribution function wggamcdf - Generalized Gamma cumulative distribution function wgevcdf - Generalized Extreme Value cumulative distribution function wgpdcdf - Generalized Pareto cumulative distribution function wgumbcdf - Gumbel cumulative distribution function winvgcdf - Inverse Gaussian cumulative distribution function wlogncdf - Lognormal cumulative distribution function wnormcdf - Normal cumulative distribution function wraylcdf - Rayleigh cumulative distribution function wtraylcdf - Truncated Rayleigh cumulative distribution function wtcdf - Student's T cumulative distribution function wweibcdf - Weibull cumulative distribution function wtweibcdf - Truncated Weibull cumulative distribution function weib2dcdf - Joint 2D Weibull cumulative distribution function weib2dprb - Returns the probability for rectangular regions. dist2dcdf - Joint 2D CDF computed as int F(X1<v|X2=x2).*f(x2)dx2 dist2dfun - Is an internal function to dist2dcdf dist2dprb. dist2dprb - Returns the probability for rectangular regions. mdist2dcdf - Joint 2D CDF due to Plackett Inverse cumulative distribution functions wbetainv - Inverse of the Beta distribution function wchi2inv - Inverse of the Chi squared distribution function wexpinv - Inverse of the Exponential distribution function wfinv - Inverse of the Snedecor's F distribution function wgaminv - Inverse of the Gamma distribution function wggaminv - Inverse of the Generalized Gamma distribution function wgevinv - Inverse of the Generalized Extreme Value distribution function wgpdinv - Inverse of the Generalized Pareto distribution function wgumbinv - Inverse of the Gumbel distribution function winvginv - Inverse of the Inverse Gaussian distribution function wlogninv - Inverse of the Lognormal distribution function wnorminv - Inverse of the Normal distribution function wraylinv - Inverse of the Rayleigh distribution function wtinv - Inverse of the Student's T distribution function wweibinv - Inverse of the Weibull distribution function weib2dcinv - Inverse of the conditional 2D weibull cdf of X2 given X1. mdist2dcinv - Inverse of the conditional cdf of X2 given X1. Random number generators walpharnd - Random matrices from a symmetric alpha-stable distribution wbetarnd - Random matrices from an Beta distribution wchi2rnd - Random matrices from a Chi squared distribution wexprnd - Random matrices from an Exponential distribution wfrnd - Random matrices from a Snedecor's F distribution wfrechinv - Inverse of the Frechet distribution function wgamrnd - Random matrices from a Gamma distribution wggamrnd - Random matrices from a Generalized Gamma distribution wgevrnd - Random matrices from a Generalized Extreme-Value distribution wgpdrnd - Random matrices from a Generalized Pareto Distribution wgumbrnd - Random matrices from a Gumbel distribution winvgrnd - Random matrices from an Inverse Gaussian distribution wlognrnd - Random matrices from a Lognormal distribution wmnormrnd - Random vectors from a multivariate Normal distribution wnormrnd - Random matrices from a Normal distribution wraylrnd - Random matrices from a Rayleigh distribution wtrnd - Random matrices from a Student's T distribution wweibrnd - Random matrices from a Weibull distribution weib2drnd - Random numbers from the 2D Weibull distribution. dist2drnd - Random points from a bivariate DIST2D distribution mdist2drnd - Random points from a bivariate MDIST2D distribution Statistics wbetastat - Mean and variance for the Beta distribution. wchi2stat - Mean and variance for the Chi squared distribution wexpstat - Mean and variance for the Exponential distribution wfstat - Mean and variance for the Snedecor's F distribution wfrechstat - Mean and variance for the Frechet distribution wgamstat - Mean and variance for the Gamma distribution wggamstat - Mean and variance for the Generalized Gamma distribution wgevstat - Mean and variance for the GEV distribution wgpdstat - Mean and variance for the Generalized Pareto distribution wgumbstat - Mean and variance for the Gumbel distribution winvgstat - Mean and variance for the Inverse Gaussian distribution wlognstat - Mean and variance for the Lognormal distribution wnormstat - Mean and variance for the Normal distribution wraylstat - Mean and variance for the Rayleigh wtstat - Mean and variance for the Student's T distribution wweibstat - Mean and variance for the Weibull distribution weib2dstat - Mean and variance for the 2D Weibull distribution dist2dstat - Mean and variance for the DIST2D distribution mdist2dstat - Mean and variance for the MDIST2D distribution Descriptive Statistics mean - Computes sample mean (in matlab toolbox) median - Computes sample median value (in matlab toolbox) std - Computes standard deviation (in matlab toolbox) var - Computes sample variance (in matlab toolbox) cov - Computes sample covariance matrix (in matlab toolbox) corrcoef - Computes sample correlation coefficients (in matlab toolbox) wkurtosis - Computes sample kurtosis wskewness - Computes sample skewness iqr - Computes the Inter Quartile Range range - Calculates the difference between maximum and minimum values Statistical plotting wgumbplot - Plots data on a Gumbel distribution paper wnormplot - Plots data on a Normal distribution paper wweibplot - Plots data on a Weibull distribution paper wexpplot - Plots data on a Exponential distribution paper wraylplot - Plots data on a Rayleigh distribution paper wqqplot - Plots empirical quantile vs empirical quantile distplot - Displays a 1D distribution probability plot empdistr - Computes and plots the empirical CDF cempdistr - Computes and plots the conditional empirical CDF whisto - Plots a histogram kdeplot - Computes and plots a kernel estimate of PDF identify - Identify points on a plot by clicking with the mouse. pairs - Pairwise scatter plots. weib2dcdfplot - Plot conditional empirical CDF of X1 given X2=x2 weib2dstatplot - Computes and plots the conditional mean and standard deviation dist2dcdfplot - Plot conditional empirical CDF of X1 given X2=x2 dist2dparamplot - Plot parameters of the conditional distribution dist2dstatplot - Computes and plots the conditional mean and standard deviation mdist2dcdfplot - Plot conditional empirical CDF of X1 given X2=x2 mdist2dstatplot - Computes and plots the conditional mean and standard deviation Hypothesis Tests wgumbtest - Tests whether the shape parameter in a GEV is equal to zero Design of Experiments yates - Calculates main and interaction effects using Yates' algorithm. ryates - Reverse Yates' algorithm to give estimated responses fitmodel - Fits response by polynomial alias - Alias structure of a fractional design cdr - Complete Defining Relation cl2cnr - Column Label to Column Number cnr2cl - Column Number to Column Label ffd - Two-level Fractional Factorial Design getmodel - Return the model parameters sudg - Some Useful Design Generators cplot - Cubic plot of responses nplot - Normal probability plot of effects Misc comnsize - Check if all input arguments are either scalar or of common size.
Comments or corrections to the WAFO group