Module TRGAUSS in WAFO Toolbox. Version 2.1.1 07-Sep-2005 Readme - Readme file for module TRGAUSS in WAFO Toolbox. Misc createpdf - PDF class constructor pdfplot - Plot contents of pdf structures trplot - Plot transformation, g, eg. estimated with dat2tr. Transforms and non-linearities dat2gaus - Transforms x using the transformation g. gaus2dat - Transforms xx using the inverse of transformation g. mctrtest - Test if stochastic process is Gaussian. spec2skew - Estimate moments of 2'nd order waves due to Marthinsen and Winterstein trangood - Make transformation suitable for efficient transforms. tranproc - Transforms process X and up to four derivatives trmak - Put together a transformation object. troptset - Create or alter TRANSFORM OPTIONS structure. trunmak - Split a transformation object into its pieces. Transformed Gaussian model estimation cdf2tr - Estimate transformation, g, from observed CDF. dat2tr - Estimate transformation, g, from data. hermitetr - Calculate transformation, g, proposed by Winterstein ochitr - Calculate transformation, g, proposed by Ochi et al. lc2tr - Estimate transformation, g, from observed crossing intensity. lc2tr2 - Estimate transformation, g, from observed crossing intensity, version 2. Gaussian probabilities and expectations bvnormcdf - Bivariate Normal cumulative distribution function bvnormprb - Bivariate Normal probability mvnormpcprb - Multivariate Normal probability with product correlation mvnormprb - Multivariate Normal probability by Genz' algorithm. mvnortpcprb - Multivariate Normal or student T probability with product correlation. rind - Multivariate normal expectations Probability density functions (pdf) or intensity matrices chitwo2lc_sorm- SORM-approximation of crossing intensity for noncentral Chi^2 process chitwo2lc_sp - Saddlepoint approximation of crossing intensity for noncentral Chi^2 process dirsp2chitwo - Parameters in non-central CHI-TWO process for directional Stokes waves. iter - Calculates a Markov matrix fmM given a rainflow matrix frfc; iter_mc - Calculates a kernel f_xy of a MC given a rainflow matrix mc2rfc - Calculates a rainflow matrix given a Markov chain with kernel f_xy; mctp2rfc - Calculates a rainflow matrix given a Markov matrix f_mM of a Markov chain mctp2tc - Calculates frequencies for the upcrossing troughs and crests nt2fr - Calculates the frequency matrix given the counting distribution matrix. spec2cmat - Joint intensity matrix for cycles spec2mmtpdf - Calculates joint density of Maximum, minimum and period. spec2tccpdf - Evaluates densities of wave period Tcc, wave lenght Lcc. spec2thpdf - Joint density of amplitude and period/wave-length characteristics spec2tpdf - Evaluates densities for crest-,trough-period, length. spec2tpdf2 - Evaluates densities for various wave periods or wave lengths specq2lc - Saddlepoint approximation of crossing intensity for quadratic sea. th2vhpdf - Transform joint T-H density to V-H density Cumulative distribution functions (cdf) lomaxcdf - CDF for local maxima for a zero-mean Gaussian process spec2acat - Evaluates survival function R(h1,h2)=P(Ac>h1,At>h2). spec2acdf - Evaluates cdf of crests P(Ac<=h) or troughs P(At<=h).

Mathematical Statistics

Centre for Mathematical Sciences

Lund University with Lund Institute of Technology

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