Contents

  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.