{ "_id": "6a25873f794753ddbc3de007", "Package": "lmomco", "Type": "Package", "Title": "L-Moments, Censored L-Moments, Trimmed L-Moments, L-Comoments,\nand Many Distributions", "Version": "2.5.6", "Date": "2026-06-01", "Authors@R": "person(given = \"William\",\nfamily = \"Asquith\",\nrole = c(\"aut\", \"cre\"),\nemail = \"william.asquith@ttu.edu\",\ncomment = c(ORCID = \"0000-0002-7400-1861\"))", "Description": "Extensive functions for Lmoments (LMs) and\nprobability-weighted moments (PWMs), distribution parameter\nestimation, LMs for distributions, LM ratio diagrams,\nmultivariate Lcomoments, and asymmetric (asy) trimmed LMs\n(TLMs). Maximum likelihood and maximum product spacings\nestimation are available. Right-tail and left-tail LM censoring\nby threshold or indicator variable are available. LMs of\nresidual (resid) and reversed (rev) residual life are\nimplemented along with 13 quantile operators for reliability\nanalyses. Exact analytical bootstrap estimates of order\nstatistics, LMs, and LM var-covars are available. Harri-Coble\nTau34-squared Normality Test is available. Distributions with\nL, TL, and added (+) support for right-tail censoring (RC)\nencompass: Asy Exponential (Exp) Power [L], Asy Triangular [L],\nCauchy [TL], Eta-Mu [L], Exp. [L], Gamma [L], Generalized (Gen)\nExp Poisson [L], Gen Extreme Value [L], Gen Lambda [L, TL], Gen\nLogistic [L], Gen Normal [L], Gen Pareto [L+RC, TL],\nGovindarajulu [L], Gumbel [L], Kappa [L], Kappa-Mu [L],\nKumaraswamy [L], Laplace [L], Linear Mean Residual Quantile\nFunction [L], Normal [L], 3p log-Normal [L], Pearson Type III\n[L], Polynomial Density-Quantile 3 and 4 [L], Rayleigh [L],\nRev-Gumbel [L+RC], Rice [L], Singh Maddala [L], Slash [TL], 3p\nStudent t [L], Truncated Exponential [L], Wakeby [L], and\nWeibull [L].", "Maintainer": "William Asquith ", "License": "GPL", "URL": "https://www.amazon.com/dp/1463508417", "NeedsCompilation": "no", "LazyData": "true", "Repository": "https://wasquith.r-universe.dev", "Date/Publication": "2026-06-07 14:19:40 UTC", "RemoteUrl": "https://github.com/wasquith/lmomco", "RemoteRef": "HEAD", "RemoteSha": "6b38bc40465e6d7b39aec9cda79c532ea1e6e961", "Packaged": { "Date": "2026-06-07 14:55:15 UTC", "User": "root" }, "Author": "William Asquith 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Distribution", "topics": [ "are.pargep.valid" ] }, { "page": "are.pargev.valid", "title": "Are the Distribution Parameters Consistent with the Generalized Extreme Value Distribution", "topics": [ "are.pargev.valid" ] }, { "page": "are.pargld.valid", "title": "Are the Distribution Parameters Consistent with the Generalized Lambda Distribution", "topics": [ "are.pargld.valid" ] }, { "page": "are.parglo.valid", "title": "Are the Distribution Parameters Consistent with the Generalized Logistic Distribution", "topics": [ "are.parglo.valid" ] }, { "page": "are.pargno.valid", "title": "Are the Distribution Parameters Consistent with the Generalized Normal Distribution", "topics": [ "are.pargno.valid" ] }, { "page": "are.pargov.valid", "title": "Are the Distribution Parameters Consistent with the Govindarajulu Distribution", "topics": [ "are.pargov.valid" ] }, { "page": "are.pargpa.valid", "title": "Are the Distribution Parameters Consistent with the Generalized Pareto Distribution", "topics": [ "are.pargpa.valid" ] }, { "page": "are.pargum.valid", "title": "Are the Distribution Parameters Consistent with the Gumbel Distribution", "topics": [ "are.pargum.valid" ] }, { "page": "are.parkap.valid", "title": "Are the Distribution Parameters Consistent with the Kappa Distribution", "topics": [ "are.parkap.valid" ] }, { "page": "are.parkmu.valid", "title": "Are the Distribution Parameters Consistent with the Kappa-Mu Distribution", "topics": [ "are.parkmu.valid" ] }, { "page": "are.parkur.valid", "title": "Are the Distribution Parameters Consistent with the Kumaraswamy Distribution", "topics": [ "are.parkur.valid" ] }, { "page": "are.parlap.valid", "title": "Are the Distribution Parameters Consistent with the Laplace Distribution", "topics": [ "are.parlap.valid" ] }, { "page": "are.parlmrq.valid", "title": "Are the Distribution Parameters Consistent with the Linear Mean Residual Quantile Function Distribution", "topics": [ "are.parlmrq.valid" ] }, { "page": "are.parln3.valid", "title": "Are the Distribution Parameters Consistent with the 3-Parameter Log-Normal Distribution", "topics": [ "are.parln3.valid" ] }, { "page": "are.parnor.valid", "title": "Are the Distribution Parameters Consistent with the Normal Distribution", "topics": [ "are.parnor.valid" ] }, { "page": "are.parpdq3.valid", "title": "Are the Distribution Parameters Consistent with the Polynomial Density-Quantile#", "topics": [ "are.parpdq3.valid" ] }, { "page": "are.parpdq4.valid", "title": "Are the Distribution Parameters Consistent with the Polynomial Density-Quantile4", "topics": [ "are.parpdq4.valid" ] }, { "page": "are.parpe3.valid", "title": "Are the Distribution Parameters Consistent with the Pearson Type III Distribution", "topics": [ "are.parpe3.valid" ] }, { "page": "are.parray.valid", "title": "Are the Distribution Parameters Consistent with the Rayleigh Distribution", "topics": [ "are.parray.valid" ] }, { "page": "are.parrevgum.valid", "title": "Are the Distribution Parameters Consistent with the Reverse Gumbel Distribution", "topics": [ "are.parrevgum.valid" ] }, { "page": "are.parrice.valid", "title": "Are the Distribution Parameters Consistent with the Rice Distribution", "topics": [ "are.parrice.valid" ] }, { "page": "are.parsla.valid", "title": "Are the Distribution Parameters Consistent with the Slash Distribution", "topics": [ "are.parsla.valid" ] }, { "page": "are.parsmd.valid", "title": "Are the Distribution Parameters Consistent with the Singh-Maddala Distribution", "topics": [ "are.parsmd.valid" ] }, { "page": "are.parst3.valid", "title": "Are the Distribution Parameters Consistent with the 3-Parameter Student t Distribution", "topics": [ "are.parst3.valid" ] }, { "page": "are.partexp.valid", "title": "Are the Distribution Parameters Consistent with the Truncated Exponential Distribution", "topics": [ "are.partexp.valid" ] }, { "page": "are.partri.valid", "title": "Are the Distribution Parameters Consistent with the Asymmetric Triangular Distribution", "topics": [ "are.partri.valid" ] }, { "page": "are.parwak.valid", "title": "Are the Distribution Parameters Consistent with the Wakeby Distribution", "topics": [ "are.parwak.valid" ] }, { "page": "are.parwei.valid", "title": "Are the Distribution Parameters Consistent with the Weibull Distribution", "topics": [ "are.parwei.valid" ] }, { "page": "BEhypergeo", "title": "Barnes Extended Hypergeometric Function", "topics": [ "BarnesExtendedHypergeometric", "BEhypergeo" ] }, { "page": "bfrlmomco", "title": "Bonferroni Curve of the Distributions", "concept": [ "lifetime", "reliability" ], "topics": [ "bfrlmomco" ] }, { "page": "Bpwm2ApwmRC", "title": "Conversion between B- and A-Type Probability-Weighted Moments for Right-Tail Censoring of an Appropriate Distribution", "topics": [ "Bpwm2ApwmRC" ] }, { "page": "canyonprecip", "title": "Annual Maximum Precipitation Data for Canyon, Texas", "topics": [ "canyonprecip" ] }, { "page": "cdf2lmom", "title": "Compute an L-moment from Cumulative Distribution Function", "topics": [ "cdf2lmom" ] }, { "page": "cdf2lmoms", "title": "Compute L-moments from Cumulative Distribution Function", "topics": [ "cdf2lmoms" ] }, { "page": "cdfaep4", "title": "Cumulative Distribution Function of the 4-Parameter Asymmetric Exponential Power Distribution", "topics": [ "cdfaep4" ] }, { "page": "cdfben", "title": "Cumulative Distribution Function of the Benford Distribution", "concept": [ "Benford Law" ], "topics": [ "cdfben" ] }, { "page": "cdfcau", "title": "Cumulative Distribution Function of the Cauchy Distribution", "topics": [ "cdfcau" ] }, { "page": "cdfemu", "title": "Cumulative Distribution Function of the Eta-Mu Distribution", "topics": [ "cdfemu" ] }, { "page": "cdfexp", "title": "Cumulative Distribution Function of the Exponential Distribution", "topics": [ "cdfexp" ] }, { "page": "cdfgam", "title": "Cumulative Distribution Function of the Gamma Distribution", "topics": [ "cdfgam" ] }, { "page": "cdfgdd", "title": "Cumulative Distribution Function of the Gamma Difference Distribution", "topics": [ "cdfgdd" ] }, { "page": "cdfgep", "title": "Cumulative Distribution Function of the Generalized Exponential Poisson Distribution", "topics": [ "cdfgep" ] }, { "page": "cdfgev", "title": "Cumulative Distribution Function of the Generalized Extreme Value Distribution", "topics": [ "cdfgev" ] }, { "page": "cdfgld", "title": "Cumulative Distribution Function of the Generalized Lambda Distribution", "topics": [ "cdfgld" ] }, { "page": "cdfglo", "title": "Cumulative Distribution Function of the Generalized Logistic Distribution", "topics": [ "cdfglo" ] }, { "page": "cdfgno", "title": "Cumulative Distribution Function of the Generalized Normal Distribution", "topics": [ "cdfgno" ] }, { "page": "cdfgov", "title": "Cumulative Distribution Function of the Govindarajulu Distribution", "topics": [ "cdfgov" ] }, { "page": "cdfgpa", "title": "Cumulative Distribution Function of the Generalized Pareto Distribution", "topics": [ "cdfgpa" ] }, { "page": "cdfgum", "title": "Cumulative Distribution Function of the Gumbel Distribution", "topics": [ "cdfgum" ] }, { "page": "cdfkap", "title": "Cumulative Distribution Function of the Kappa Distribution", "topics": [ "cdfkap" ] }, { "page": "cdfkmu", "title": "Cumulative Distribution Function of the Kappa-Mu Distribution", "topics": [ "cdfkmu" ] }, { "page": "cdfkur", "title": "Cumulative Distribution Function of the Kumaraswamy Distribution", "topics": [ "cdfkur" ] }, { "page": "cdflap", "title": "Cumulative Distribution Function of the Laplace Distribution", "topics": [ "cdflap" ] }, { "page": "cdflmrq", "title": "Cumulative Distribution Function of the Linear Mean Residual Quantile Function Distribution", "topics": [ "cdflmrq" ] }, { "page": "cdfln3", "title": "Cumulative Distribution Function of the 3-Parameter Log-Normal Distribution", "topics": [ "cdfln3" ] }, { "page": "cdfnor", "title": "Cumulative Distribution Function of the Normal Distribution", "topics": [ "cdfnor" ] }, { "page": "cdfpdq3", "title": "Cumulative Distribution Function of the Polynomial Density-Quantile3 Distribution", "topics": [ "cdfpdq3" ] }, { "page": "cdfpdq4", "title": "Cumulative Distribution Function of the Polynomial Density-Quantile4 Distribution", "topics": [ "cdfpdq4" ] }, { "page": "cdfpe3", "title": "Cumulative Distribution Function of the Pearson Type III Distribution", "topics": [ "cdfpe3" ] }, { "page": "cdfray", "title": "Cumulative Distribution Function of the Rayleigh Distribution", "topics": [ "cdfray" ] }, { "page": "cdfrevgum", "title": "Cumulative Distribution Function of the Reverse Gumbel Distribution", "topics": [ "cdfrevgum" ] }, { "page": "cdfrice", "title": "Cumulative Distribution Function of the Rice Distribution", "topics": [ "cdfrice" ] }, { "page": "cdfsla", "title": "Cumulative Distribution Function of the Slash Distribution", "topics": [ "cdfsla" ] }, { "page": "cdfsmd", "title": "Cumulative Distribution Function of the Singh-Maddala Distribution", "topics": [ "cdfsmd" ] }, { "page": "cdfst3", "title": "Cumulative Distribution Function of the 3-Parameter Student t Distribution", "topics": [ "cdfst3" ] }, { "page": "cdftexp", "title": "Cumulative Distribution Function of the Truncated Exponential Distribution", "topics": [ "cdftexp" ] }, { "page": "cdftri", "title": "Cumulative Distribution Function of the Asymmetric Triangular Distribution", "topics": [ "cdftri" ] }, { "page": "cdfwak", "title": "Cumulative Distribution Function of the Wakeby Distribution", "topics": [ "cdfwak" ] }, { "page": "cdfwei", "title": "Cumulative Distribution Function of the Weibull Distribution", "topics": [ "cdfwei" ] }, { "page": "check.fs", "title": "Check Vector of Nonexceedance Probabilities", "topics": [ "check.fs" ] }, { "page": "check.pdf", "title": "Check and Potentially Graph Probability Density Functions", "topics": [ "check.pdf" ] }, { "page": "claudeprecip", "title": "Annual Maximum Precipitation Data for Claude, Texas", "topics": [ "claudeprecip" ] }, { "page": "clearforkporosity", "title": "Porosity Data", "topics": [ "clearforkporosity" ] }, { "page": "cmlmomco", "title": "Conditional Mean Residual Quantile Function of the Distributions", "concept": [ "lifetime", "reliability" ], "topics": [ "cmlmomco" ] }, { "page": "cvm.test.lmomco", "title": "Cramér--von Mises Test for Goodness-of-Fit", "topics": [ "cvm.test.lmomco" ] }, { "page": "dat2bernqua", "title": "Observed Data to Empirical Quantiles through Bernstein or Kantorovich Polynomials", "topics": [ "dat2bernqua" ] }, { "page": "dat2bernquaf", "title": "Equivalent Nonexceedance Probability for a Given Value through Observed Data to Empirical Quantiles through Bernstein or Kantorovich Polynomials", "topics": [ "dat2bernquaf" ] }, { "page": "disfitgovloc", "title": "Fit a Govindarajulu Distribution to Bounds and Location", "topics": [ "disfitgovloc" ] }, { "page": "disfitqua", "title": "Fit a Distribution using Minimization of 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Probability to Partial Duration Nonexceedance Probability", "topics": [ "f2fpds" ] }, { "page": "fliplmoms", "title": "Flip L-moments by Flip Attribute in L-moment Vector", "topics": [ "fliplmoms" ] }, { "page": "flo2f", "title": "Conversion of Conditional Nonexceedance Probability to Annual Nonexceedance Probability", "topics": [ "flo2f" ] }, { "page": "fpds2f", "title": "Conversion of Partial-Duration Nonexceedance Probability to Annual Nonexceedance Probability", "topics": [ "fpds2f" ] }, { "page": "freq.curve.all", "title": "Compute Frequency Curve for Almost All Distributions", "topics": [ "freq.curve.all" ] }, { "page": "gen.freq.curves", "title": "Plot Randomly Generated Frequency Curves from a Parent Distribution", "topics": [ "gen.freq.curves" ] }, { "page": "genci.simple", "title": "Generate (Estimate) Confidence Intervals for Quantiles of a Parent Distribution", "topics": [ "genci", "genci.simple" ] }, { "page": "gini.mean.diff", "title": "Gini Mean Difference Statistic", "topics": [ "gini.mean.diff" ] }, { "page": "grv2prob", "title": "Convert a Vector of Gumbel Reduced Variates to Annual Nonexceedance Probabilities", "concept": [ "Gumbel reduced variate", "Gumbel Reduced Variate" ], "topics": [ "grv2prob" ] }, { "page": "harmonic.mean", "title": "The Harmonic Mean with Zero-Value Correction", "topics": [ "harmonic.mean" ] }, { "page": "headrick.sheng.lalpha", "title": "Sample Headrick and Sheng L-alpha", "concept": [ "internal consistency" ], "topics": [ "headrick.sheng.lalpha", "lalpha" ] }, { "page": "herefordprecip", "title": "Annual Maximum Precipitation Data for Hereford, Texas", "topics": [ "herefordprecip" ] }, { "page": "hlmomco", "title": "Hazard Functions of the Distributions", "concept": [ "hazard", "lifetime", "reliability" ], "topics": [ "hlmomco" ] }, { "page": "IRSrefunds.by.state", "title": "U.S. Internal Revenue Service Refunds by State for Fiscal Year 2006", "topics": [ "IRSrefunds.by.state" ] }, { "page": "is.aep4", "title": "Is a Distribution Parameter Object Typed as 4-Parameter Asymmetric Exponential Power", "topics": [ "is.aep4" ] }, { "page": "is.cau", "title": "Is a Distribution Parameter Object Typed as Cauchy", "topics": [ "is.cau" ] }, { "page": "is.emu", "title": "Is a Distribution Parameter Object Typed as Eta-Mu", "topics": [ "is.emu" ] }, { "page": "is.exp", "title": "Is a Distribution Parameter Object Typed as Exponential", "topics": [ "is.exp" ] }, { "page": "is.gam", "title": "Is a Distribution Parameter Object Typed as Gamma", "topics": [ "is.gam" ] }, { "page": "is.gdd", "title": "Is a Distribution Parameter Object Typed as Gamma Difference", "topics": [ "is.gdd" ] }, { "page": "is.gep", "title": "Is a Distribution Parameter Object Typed as Generalized Extreme Value", "topics": [ "is.gep" ] }, { "page": "is.gev", "title": "Is a Distribution Parameter Object Typed as Generalized Extreme Value", "topics": [ "is.gev" ] }, { "page": "is.gld", "title": "Is a Distribution Parameter Object Typed as Generalized Lambda", "topics": [ "is.gld" ] }, { "page": "is.glo", "title": "Is a Distribution Parameter Object Typed as Generalized Logistic", "topics": [ "is.glo" ] }, { "page": "is.gno", "title": "Is a Distribution Parameter Object Typed as Generalized Normal", "topics": [ "is.gno" ] }, { "page": "is.gov", "title": "Is a Distribution Parameter Object Typed as Govindarajulu", "topics": [ "is.gov" ] }, { "page": "is.gpa", "title": "Is a Distribution Parameter Object Typed as Generalized Pareto", "topics": [ "is.gpa" ] }, { "page": "is.gum", "title": "Is a Distribution Parameter Object Typed as Gumbel", "topics": [ "is.gum" ] }, { "page": "is.kap", "title": "Is a Distribution Parameter Object Typed as Kappa", "topics": [ "is.kap" ] }, { "page": "is.kmu", "title": "Is a Distribution Parameter Object Typed as Kappa-Mu", "topics": [ "is.kmu" ] }, { "page": "is.kur", "title": "Is a Distribution Parameter Object Typed as Kumaraswamy", "topics": [ "is.kur" ] }, { "page": "is.lap", "title": "Is a Distribution Parameter Object Typed as Laplace", "topics": [ "is.lap" ] }, { "page": "is.lmrq", "title": "Is a Distribution Parameter Object Typed as Linear Mean Residual Quantile Function", "topics": [ "is.lmrq" ] }, { "page": "is.ln3", "title": "Is a Distribution Parameter Object Typed as 3-Parameter Log-Normal", "topics": [ "is.ln3" ] }, { "page": "is.nor", "title": "Is a Distribution Parameter Object Typed as Normal", "topics": [ "is.nor" ] }, { "page": "is.pdq3", "title": "Is a Distribution Parameter Object Typed as Polynomial Density-Quantile3", "topics": [ "is.pdq3" ] }, { "page": "is.pdq4", "title": "Is a Distribution Parameter Object Typed as Polynomial Density-Quantile4", "topics": [ "is.pdq4" ] }, { "page": "is.pe3", "title": "Is a Distribution Parameter Object Typed as Pearson Type III", "topics": [ "is.pe3" ] }, { "page": "is.ray", "title": "Is a Distribution Parameter Object Typed as Rayleigh", "topics": [ "is.ray" ] }, { "page": "is.revgum", "title": "Is a Distribution Parameter Object Typed as Reverse Gumbel", "topics": [ "is.revgum" ] }, { "page": "is.rice", "title": "Is a Distribution Parameter Object Typed as Rice", "topics": [ "is.rice" ] }, { "page": "is.sla", "title": "Is a Distribution Parameter Object Typed as Slash", "topics": [ "is.sla" ] }, { "page": "is.smd", "title": "Is a Distribution Parameter Object Typed as Singh-Maddala", "topics": [ "is.smd" ] }, { "page": "is.st3", "title": "Is a Distribution Parameter Object Typed as 3-Parameter Student t Distribution", "topics": [ "is.st3" ] }, { "page": "is.texp", "title": "Is a Distribution Parameter Object Typed as Truncated Exponential", "topics": [ "is.texp" ] }, { "page": "is.tri", "title": "Is a Distribution Parameter Object Typed as Asymmetric Triangular", "topics": [ "is.tri" ] }, { "page": "is.wak", "title": "Is a Distribution Parameter Object Typed as Wakeby", "topics": [ "is.wak" ] }, { "page": "is.wei", "title": "Is a Distribution Parameter Object Typed as Weibull", "topics": [ "is.wei" ] }, { "page": "LaguerreHalf", "title": "Laguerre Polynomial (Half)", "topics": [ "LaguerreHalf" ] }, { "page": "Lcomoment.coefficients", "title": "L-comoment Coefficient Matrix", "topics": [ "Lcomoment.coefficients" ] }, { "page": "Lcomoment.correlation", "title": "L-correlation Matrix (L-correlation through Sample L-comoments)", "topics": [ "Lcomoment.correlation" ] }, { "page": "Lcomoment.Lk12", "title": "Compute a Single Sample L-comoment", "topics": [ "Lcomoment.Lk12" ] }, { "page": "Lcomoment.matrix", "title": "Compute Sample L-comoment Matrix", "topics": [ "Lcomoment.matrix" ] }, { "page": "Lcomoment.Wk", "title": "Weighting Coefficient for Sample L-comoment", "topics": [ "Lcomoment.Wk" ] }, { "page": "lcomoms2", "title": "The Sample L-comoments for Two Variables", "topics": [ "lcomoms2" ] }, { "page": "lkhlmomco", "title": "Leimkuhler Curve of the Distributions", "concept": [ "lifetime", "reliability" ], "topics": [ "lkhlmomco" ] }, { "page": "lmom.ub", "title": "Unbiased Sample L-moments by Direct Sample Estimators", "topics": [ "lmom.ub" ] }, { "page": "lmom2par", "title": "Convert L-moments to the Parameters of a Distribution", "topics": [ "lmom2par", "lmr2par" ] }, { "page": "lmom2pwm", "title": "L-moments to Probability-Weighted Moments", "topics": [ "lmom2pwm" ] }, { "page": "lmom2vec", "title": "Convert an L-moment object to a Vector of L-moments", "topics": [ "lmom2vec" ] }, { "page": "lmomaep4", "title": "L-moments of the 4-Parameter Asymmetric Exponential Power Distribution", "topics": [ "lmomaep4" ] }, { "page": "lmomben", "title": "L-moments of the Benford Distribution", "concept": [ "Benford Law" ], "topics": [ "lmomben" ] }, { "page": "lmomcau", "title": "Trimmed L-moments of the Cauchy Distribution", "topics": [ "lmomcau" ] }, { "page": "lmomemu", "title": "L-moments of the Eta-Mu Distribution", "topics": [ "lmomemu" ] }, { "page": "lmomexp", "title": "L-moments of the Exponential Distribution", "topics": [ "lmomexp" ] }, { "page": "lmomgam", "title": "L-moments of the Gamma Distribution", "topics": [ "lmomgam" ] }, { "page": "lmomgdd", "title": "L-moments of the Gamma Difference Distribution", "topics": [ "lmomgdd" ] }, { "page": "lmomgep", "title": "L-moments of the Generalized Exponential Poisson Distribution", "topics": [ "lmomgep" ] }, { "page": "lmomgev", "title": "L-moments of the Generalized Extreme Value Distribution", "topics": [ "lmomgev" ] }, { "page": "lmomgld", "title": "L-moments of the Generalized Lambda Distribution", "topics": [ "lmomgld" ] }, { "page": "lmomglo", "title": "L-moments of the Generalized Logistic Distribution", "topics": [ "lmomglo" ] }, { "page": "lmomgno", "title": "L-moments of the Generalized Normal Distribution", "topics": [ "lmomgno" ] }, { "page": "lmomgov", "title": "L-moments of the Govindarajulu Distribution", "topics": [ "lmomgov" ] }, { "page": "lmomgpa", "title": "L-moments of the Generalized Pareto Distribution", "topics": [ "lmomgpa" ] }, { "page": "lmomgpaRC", "title": "B-type L-moments of the Generalized Pareto Distribution with Right-Tail Censoring", "topics": [ "lmomgpaRC" ] }, { "page": "lmomgum", "title": "L-moments of the Gumbel Distribution", "topics": [ "lmomgum" ] }, { "page": "lmomkap", "title": "L-moments of the Kappa Distribution", "topics": [ "lmomkap" ] }, { "page": "lmomkmu", "title": "L-moments of the Kappa-Mu Distribution", "topics": [ "lmomkmu" ] }, { "page": "lmomkur", "title": "L-moments of the Kumaraswamy Distribution", "topics": [ "lmomkur" ] }, { "page": "lmomlap", "title": "L-moments of the Laplace Distribution", "topics": [ "lmomlap" ] }, { "page": "lmomlmrq", "title": "L-moments of the Linear Mean Residual Quantile Function Distribution", "topics": [ "lmomlmrq" ] }, { "page": "lmomln3", "title": "L-moments of the 3-Parameter Log-Normal Distribution", "topics": [ "lmomln3" ] }, { "page": "lmomnor", "title": "L-moments of the Normal Distribution", "topics": [ "lmomnor" ] }, { "page": "lmompdq3", "title": "L-moments of the Polynomial Density-Quantile3 Distribution", "topics": [ "lmompdq3" ] }, { "page": "lmompdq4", "title": "L-moments of the Polynomial Density-Quantile4 Distribution", "topics": [ "lmompdq4" ] }, { "page": "lmompe3", "title": "L-moments of the Pearson Type III Distribution", "topics": [ "lmompe3" ] }, { "page": "lmomray", "title": "L-moments of the Rayleigh Distribution", "topics": [ "lmomray" ] }, { "page": "lmomRCmark", "title": "Sample L-moment for Right-Tail Censoring by a Marking Variable", "topics": [ "lmomRCmark" ] }, { "page": "lmomrevgum", "title": "L-moments of the Reverse Gumbel Distribution", "topics": [ "lmomrevgum" ] }, { "page": "lmomrice", "title": "L-moments of the Rice Distribution", "topics": [ "lmomrice" ] }, { "page": "lmoms", "title": "The Sample L-moments and L-moment Ratios", "topics": [ "lmoms" ] }, { "page": "lmoms.bernstein", "title": "Numerically Integrated L-moments of Smoothed Quantiles from Bernstein or Kantorovich Polynomials", "topics": [ "lmoms.bernstein" ] }, { "page": "lmoms.bootbarvar", "title": "Exact Bootstrap Mean and Variance of L-moments", "topics": [ "lmoms.bootbarvar" ] }, { "page": "lmoms.cov", "title": "Distribution-Free Variance-Covariance Structure of Sample L-moments", "topics": [ "lmoms.cov" ] }, { "page": "lmomsla", "title": "Trimmed L-moments of the Slash Distribution", "topics": [ "lmomsla" ] }, { "page": "lmomsmd", "title": "L-moments of the Singh-Maddala Distribution", "topics": [ "lmomsmd" ] }, { "page": "lmomsRCmark", "title": "Sample L-moments Moments for Right-Tail Censoring by a Marking Variable", "topics": [ "lmomsRCmark" ] }, { "page": "lmomst3", "title": "L-moments of the 3-Parameter Student t Distribution", "topics": [ "lmomst3" ] }, { "page": "lmomtexp", "title": "L-moments of the Truncated Exponential Distribution", "topics": [ "lmomtexp" ] }, { "page": "lmomTLgld", "title": "Trimmed L-moments of the Generalized Lambda Distribution", "topics": [ "lmomTLgld" ] }, { "page": "lmomTLgpa", "title": "Trimmed L-moments of the Generalized Pareto Distribution", "topics": [ "lmomTLgpa" ] }, { "page": "lmomtri", "title": "L-moments of the Asymmetric Triangular Distribution", "topics": [ "lmomtri" ] }, { "page": "lmomwak", "title": "L-moments of the Wakeby Distribution", "topics": [ "lmomwak" ] }, { "page": "lmomwei", "title": "L-moments of the Weibull Distribution", "topics": [ "lmomwei" ] }, { "page": "lmorph", "title": "Morph an L-moment Object", "topics": [ "lmorph" ] }, { "page": "lmrdia", "title": "L-moment Ratio Diagram Components", "topics": [ "lmrdia" ] }, { "page": "lmrdia46", "title": "L-moment Ratio Diagram Components of Tau4 and Tau6", "topics": [ "lmrdia46" ] }, { "page": "lmrdiscord", "title": "Compute Discordance on L-CV, L-skew, and L-kurtosis", "topics": [ "lmrdiscord" ] }, { "page": "lmrloc", "title": "Line-of-Organic Correlation", "concept": [ "line of organic correlation", "organic correlation", "reduced major axis" ], "topics": [ "lmrloc" ] }, { "page": "lrv2prob", "title": "Convert a Vector of Logistic Reduced Variates to Annual Nonexceedance Probabilities", "concept": [ "Logistic reduced variate", "Logistic Reduced Variate", "logistic reduced variate" ], "topics": [ "lrv2prob" ] }, { "page": "lrzlmomco", "title": "Lorenz Curve of the Distributions", "concept": [ "lifetime", "reliability" ], "topics": [ "lrzlmomco" ] }, { "page": "mle2par", "title": "Use Maximum Likelihood to Estimate Parameters of a Distribution", "topics": [ "mle2par" ] }, { "page": "mps2par", "title": "Use Maximum Product of Spacings to Estimate the Parameters of a Distribution", "concept": [ "maximum spacing estimation", "product of spacing estimation" ], "topics": [ "mps2par" ] }, { "page": "nonexceeds", "title": "Some Common or Useful Nonexceedance Probabilities", "topics": [ "nonexceeds" ] }, { "page": "par2cdf", "title": "Cumulative Distribution Function of the Distributions", "topics": [ "par2cdf" ] }, { "page": "par2cdf2", "title": "Equivalent Cumulative Distribution Function of Two Distributions", "topics": [ "par2cdf2" ] }, { "page": "par2lmom", "title": "Convert the Parameters of a Distribution to the L-moments", "topics": [ "par2lmom" ] }, { "page": "par2pdf", "title": "Probability Density Function of the Distributions", "topics": [ "par2pdf" ] }, { "page": "par2qua", "title": "Quantile Function of the Distributions", "topics": [ "par2qua" ] }, { "page": "par2qua2", "title": "Equivalent Quantile Function of Two Distributions", "topics": [ "par2qua2" ] }, { "page": "par2qua2lo", "title": "Equivalent Quantile Function of Two Distributions Stemming from Left-Hand Threshold to Setup Conditional Probability Computations", "topics": [ "par2qua2lo" ] }, { "page": "par2vec", "title": "Convert a Parameter Object to a Vector of Parameters", "topics": [ "par2vec" ] }, { "page": "paraep4", "title": "Estimate the Parameters of the 4-Parameter Asymmetric Exponential Power Distribution", "topics": [ "paraep4" ] }, { "page": "parcau", "title": "Estimate the Parameters of the Cauchy Distribution", "topics": [ "parcau" ] }, { "page": "paremu", "title": "Estimate the Parameters of the Eta-Mu Distribution", "topics": [ "paremu" ] }, { "page": "parexp", "title": "Estimate the Parameters of the Exponential Distribution", "topics": [ "parexp" ] }, { "page": "pargam", "title": "Estimate the Parameters of the Gamma Distribution", "topics": [ "pargam" ] }, { "page": "pargdd", "title": "Estimate the Parameters of the Gamma Difference Distribution", "topics": [ "pargdd" ] }, { "page": "pargep", "title": "Estimate the Parameters of the Generalized Exponential Poisson Distribution", "topics": [ "pargep" ] }, { "page": "pargev", "title": "Estimate the Parameters of the Generalized Extreme Value Distribution", "topics": [ "pargev" ] }, { "page": "pargld", "title": "Estimate the Parameters of the Generalized Lambda Distribution", "topics": [ "pargld" ] }, { "page": "parglo", "title": "Estimate the Parameters of the Generalized Logistic Distribution", "topics": [ "parglo" ] }, { "page": "pargno", "title": "Estimate the Parameters of the Generalized Normal Distribution", "topics": [ "pargno" ] }, { "page": "pargov", "title": "Estimate the Parameters of the Govindarajulu Distribution", "topics": [ "pargov" ] }, { "page": "pargpa", "title": "Estimate the Parameters of the Generalized Pareto Distribution", "topics": [ "pargpa" ] }, { "page": "pargpaRC", "title": "Estimate the Parameters of the Generalized Pareto Distribution with Right-Tail Censoring", "topics": [ "pargpaRC" ] }, { "page": "pargum", "title": "Estimate the Parameters of the Gumbel Distribution", "topics": [ "pargum" ] }, { "page": "parkap", "title": "Estimate the Parameters of the Kappa Distribution", "topics": [ "parkap" ] }, { "page": "parkmu", "title": "Estimate the Parameters of the Kappa-Mu Distribution", "topics": [ "parkmu" ] }, { "page": "parkur", "title": "Estimate the Parameters of the Kumaraswamy Distribution", "topics": [ "parkur" ] }, { "page": "parlap", "title": "Estimate the Parameters of the Laplace Distribution", "topics": [ "parlap" ] }, { "page": "parlmrq", "title": "Estimate the Parameters of the Linear Mean Residual Quantile Function Distribution", "topics": [ "parlmrq" ] }, { "page": "parln3", "title": "Estimate the Parameters of the 3-Parameter Log-Normal Distribution", "topics": [ "parln3" ] }, { "page": "parnor", "title": "Estimate the Parameters of the Normal Distribution", "topics": [ "parnor" ] }, { "page": "parpdq3", "title": "Estimate the Parameters of the Polynomial Density-Quantile3 Distribution", "topics": [ "parpdq3" ] }, { "page": "parpdq4", "title": "Estimate the Parameters of the Polynomial Density-Quantile4 Distribution", "topics": [ "parpdq4" ] }, { "page": "parpe3", "title": "Estimate the Parameters of the Pearson Type III Distribution", "topics": [ "parpe3" ] }, { "page": "parray", "title": "Estimate the Parameters of the Rayleigh Distribution", "topics": [ "parray" ] }, { "page": "parrevgum", "title": "Estimate the Parameters of the Reverse Gumbel Distribution", "topics": [ "parrevgum" ] }, { "page": "parrice", "title": "Estimate the Parameters of the Rice Distribution", "topics": [ "parrice" ] }, { "page": "pars2x", "title": "Estimate Quantiles from an Ensemble of Parameters", "topics": [ "pars2x" ] }, { "page": "parsla", "title": "Estimate the Parameters of the Slash Distribution", "topics": [ "parsla" ] }, { "page": "parsmd", "title": "Estimate the Parameters of the Singh-Maddala Distribution", "topics": [ "parsmd" ] }, { "page": "parst3", "title": "Estimate the Parameters of the 3-Parameter Student t Distribution", "topics": [ "parst3" ] }, { "page": "partexp", "title": "Estimate the Parameters of the Truncated Exponential Distribution", "topics": [ "partexp" ] }, { "page": "parTLgld", "title": "Estimate the Parameters of the Generalized Lambda Distribution using Trimmed L-moments (t=1)", "topics": [ "parTLgld" ] }, { "page": "parTLgpa", "title": "Estimate the Parameters of the Generalized Pareto Distribution using Trimmed L-moments", "topics": [ "parTLgpa" ] }, { "page": "partri", "title": "Estimate the Parameters of the Asymmetric Triangular Distribution", "topics": [ "partri" ] }, { "page": "parwak", "title": "Estimate the Parameters of the Wakeby Distribution", "topics": [ "parwak" ] }, { "page": "parwei", "title": "Estimate the Parameters of the Weibull Distribution", "topics": [ "parwei" ] }, { "page": "pdfaep4", "title": "Probability Density Function of the 4-Parameter Asymmetric Exponential Power Distribution", "topics": [ "pdfaep4" ] }, { "page": "pdfcau", "title": "Probability Density Function of the Cauchy Distribution", "topics": [ "pdfcau" ] }, { "page": "pdfemu", "title": "Probability Density Function of the Eta-Mu Distribution", "topics": [ "pdfemu" ] }, { "page": "pdfexp", "title": "Probability Density Function of the Exponential Distribution", "topics": [ "pdfexp" ] }, { "page": "pdfgam", "title": "Probability Density Function of the Gamma Distribution", "topics": [ "pdfgam" ] }, { "page": "pdfgdd", "title": "Probability Density Function of the Gamma Difference Distribution", "topics": [ "pdfgdd" ] }, { "page": "pdfgep", "title": "Probability Density Function of the Generalized Exponential Poisson Distribution", "topics": [ "pdfgep" ] }, { "page": "pdfgev", "title": "Probability Density Function of the Generalized Extreme Value Distribution", "topics": [ "pdfgev" ] }, { "page": "pdfgld", "title": "Probability Density Function of the Generalized Lambda Distribution", "topics": [ "pdfgld" ] }, { "page": "pdfglo", "title": "Probability Density Function of the Generalized Logistic Distribution", "topics": [ "pdfglo" ] }, { "page": "pdfgno", "title": "Probability Density Function of the Generalized Normal Distribution", "topics": [ "pdfgno" ] }, { "page": "pdfgov", "title": "Probability Density Function of the Govindarajulu Distribution", "topics": [ "pdfgov" ] }, { "page": "pdfgpa", "title": "Probability Density Function of the Generalized Pareto Distribution", "topics": [ "pdfgpa" ] }, { "page": "pdfgum", "title": "Probability Density Function of the Gumbel Distribution", "topics": [ "pdfgum" ] }, { "page": "pdfkap", "title": "Probability Density Function of the Kappa Distribution", "topics": [ "pdfkap" ] }, { "page": "pdfkmu", "title": "Probability Density Function of the Kappa-Mu Distribution", "topics": [ "pdfkmu" ] }, { "page": "pdfkur", "title": "Probability Density Function of the Kumaraswamy Distribution", "topics": [ "pdfkur" ] }, { "page": "pdflap", "title": "Probability Density Function of the Laplace Distribution", "topics": [ "pdflap" ] }, { "page": "pdflmrq", "title": "Probability Density Function of the Linear Mean Residual Quantile Function Distribution", "topics": [ "pdflmrq" ] }, { "page": "pdfln3", "title": "Probability Density Function of the 3-Parameter Log-Normal Distribution", "topics": [ "pdfln3" ] }, { "page": "pdfnor", "title": "Probability Density Function of the Normal Distribution", "topics": [ "pdfnor" ] }, { "page": "pdfpdq3", "title": "Probability Density Function of the Polynomial Density-Quantile3 Distribution", "topics": [ "pdfpdq3" ] }, { "page": "pdfpdq4", "title": "Probability Density Function of the Polynomial Density-Quantile4 Distribution", "topics": [ "pdfpdq4" ] }, { "page": "pdfpe3", "title": "Probability Density Function of the Pearson Type III Distribution", "topics": [ "pdfpe3" ] }, { "page": "pdfray", "title": "Probability Density Function of the Rayleigh Distribution", "topics": [ "pdfray" ] }, { "page": "pdfrevgum", "title": "Probability Density Function of the Reverse Gumbel Distribution", "topics": [ "pdfrevgum" ] }, { "page": "pdfrice", "title": "Probability Density Function of the Rice Distribution", "topics": [ "pdfrice" ] }, { "page": "pdfsla", "title": "Probability Density Function of the Slash Distribution", "topics": [ "pdfsla" ] }, { "page": "pdfsmd", "title": "Probability Density Function of the Singh-Maddala Distribution", "topics": [ "pdfsmd" ] }, { "page": "pdfst3", "title": "Probability Density Function of the 3-Parameter Student t Distribution", "topics": [ "pdfst3" ] }, { "page": "pdftexp", "title": "Probability Density Function of the Truncated Exponential Distribution", "topics": [ "pdftexp" ] }, { "page": "pdftri", "title": "Probability Density Function of the Asymmetric Triangular Distribution", "topics": [ "pdftri" ] }, { "page": "pdfwak", "title": "Probability Density Function of the Wakeby Distribution", "topics": [ "pdfwak" ] }, { "page": "pdfwei", "title": "Probability Density Function of the Weibull Distribution", "topics": [ "pdfwei" ] }, { "page": "pfactor.bernstein", "title": "Estimation of Optimal p-factor of Distributional Support Estimation for Smoothed Quantiles from the Bernstein or Kantorovich Polynomials", "topics": [ "pfactor.bernstein" ] }, { "page": "plmomco", "title": "Cumulative Distribution Function of the Distributions", "concept": [ "cumulative distribution" ], "topics": [ "plmomco" ] }, { "page": "plotlmrdia", "title": "Plot L-moment Ratio Diagram (Tau3 and Tau4)", "topics": [ "plotlmrdia" ] }, { "page": "plotlmrdia46", "title": "Plot L-moment Ratio Diagram (Tau4 and Tau6)", "topics": [ "plotlmrdia46" ] }, { "page": "plotradarlmr", "title": "Plot L-moment Radar Plot (Chart) Graphic", "concept": [ "radar chart", "radar graphic" ], "topics": [ "plotradarlmr" ] }, { "page": "pmfben", "title": "Probability Density Function of the Benford Distribution", "concept": [ "Benford Law" ], "topics": [ "pmfben" ] }, { "page": "pmoms", "title": "The Sample Product Moments: Mean, Standard Deviation, Skew, and Excess Kurtosis", "topics": [ "pmoms" ] }, { "page": "pp", "title": "Plotting-Position Formula", "topics": [ "pp" ] }, { "page": "pp.f", "title": "Quantile Function of the Ranks of Plotting Positions", "topics": [ "pp.f" ] }, { "page": "pp.median", "title": "Quantile Function of the Ranks of Plotting Positions", "topics": [ "pp.median" ] }, { "page": "prettydist", "title": "A Pretty List of Distribution Names", "topics": [ "prettydist" ] }, { "page": "prob2grv", "title": "Convert a Vector of Annual Nonexceedance Probabilities to Gumbel Reduced Variates", "concept": [ "Gumbel reduced variate", "Gumbel Reduced Variate" ], "topics": [ "prob2grv" ] }, { "page": "prob2lrv", "title": "Convert a Vector of Annual Nonexceedance Probabilities to Logistic Reduced Variates", "concept": [ "Logistic reduced variate", "Logistic Reduced Variate", "logistic reduced variate" ], "topics": [ "prob2lrv" ] }, { "page": "prob2T", "title": "Convert a Vector of Annual Nonexceedance Probabilities to T-year Return Periods", "topics": [ "prob2T" ] }, { "page": "pwm", "title": "Unbiased Sample Probability-Weighted Moments", "topics": [ "pwm" ] }, { "page": "pwm.beta2alpha", "title": "Conversion of Beta to Alpha Probability-Weighted Moments (PWMs) or Alpha to Beta PWMs", "topics": [ "pwm.alpha2beta", "pwm.beta2alpha" ] }, { "page": "pwm.gev", "title": "Generalized Extreme Value Plotting-Position Probability-Weighted Moments", "topics": [ "pwm.gev" ] }, { "page": "pwm.pp", "title": "Plotting-Position Sample Probability-Weighted Moments", "topics": [ "pwm.pp" ] }, { "page": "pwm.ub", "title": "Unbiased Sample Probability-Weighted Moments", "topics": [ "pwm.ub" ] }, { "page": "pwm2lmom", "title": "Probability-Weighted Moments to L-moments", "topics": [ "pwm2lmom" ] }, { "page": "pwm2vec", "title": "Convert Probability-Weighted Moment object to a Vector", "topics": [ "pwm2vec" ] }, { "page": "pwmLC", "title": "Sample Probability-Weighted Moments for Left-Tail Censoring", "topics": [ "pwmLC" ] }, { "page": "pwmRC", "title": "Sample Probability-Weighted Moments for Right-Tail Censoring", "topics": [ "pwmRC" ] }, { "page": "qlmomco", "title": "Quantile Function of the Distributions", "concept": [ "quantile" ], "topics": [ "qlmomco" ] }, { "page": "qua.ostat", "title": "Compute the Quantiles of the Distribution of an Order Statistic", "topics": [ "qua.ostat" ] }, { "page": "qua2ci.cov", "title": "Estimate a Confidence Interval for Quantiles of a Parent Distribution using Sample Variance-Covariances of L-moments", "topics": [ "qua2ci.cov" ] }, { "page": "qua2ci.simple", "title": "Estimate a Confidence Interval for a Single Quantile of a Parent Distribution by a Simple Algorithm", "topics": [ "qua2ci", "qua2ci.simple" ] }, { "page": "quaaep4", "title": "Quantile Function of the 4-Parameter Asymmetric Exponential Power Distribution", "topics": [ "quaaep4" ] }, { "page": "quaaep4kapmix", "title": "Quantile Function Mixture Between the 4-Parameter Asymmetric Exponential Power and Kappa Distributions", "topics": [ "quaaep4kapmix" ] }, { "page": "quaben", "title": "Quantile Function of the Benford Distribution", "concept": [ "Benford Law" ], "topics": [ "quaben" ] }, { "page": "quacau", "title": "Quantile Function of the Cauchy Distribution", "topics": [ "quacau" ] }, { "page": "quaemu", "title": "Quantile Function of the Eta-Mu Distribution", "topics": [ "quaemu" ] }, { "page": "quaexp", "title": "Quantile Function of the Exponential Distribution", "topics": [ "quaexp" ] }, { "page": "quagam", "title": "Quantile Function of the Gamma Distribution", "topics": [ "quagam" ] }, { "page": "quagdd", "title": "Quantile Function of the Gamma Difference Distribution", "topics": [ "quagdd" ] }, { "page": "quagep", "title": "Quantile Function of the Generalized Exponential Poisson Distribution", "topics": [ "quagep" ] }, { "page": "quagev", "title": "Quantile Function of the Generalized Extreme Value Distribution", "topics": [ "quagev" ] }, { "page": "quagld", "title": "Quantile Function of the Generalized Lambda Distribution", "topics": [ "quagld" ] }, { "page": "quaglo", "title": "Quantile Function of the Generalized Logistic Distribution", "topics": [ "quaglo" ] }, { "page": "quagno", "title": "Quantile Function of the Generalized Normal Distribution", "topics": [ "quagno" ] }, { "page": "quagov", "title": "Quantile Function of the Govindarajulu Distribution", "topics": [ "quagov" ] }, { "page": "quagpa", "title": "Quantile Function of the Generalized Pareto Distribution", "topics": [ "quagpa" ] }, { "page": "quagum", "title": "Quantile Function of the Gumbel Distribution", "topics": [ "quagum" ] }, { "page": "quakap", "title": "Quantile Function of the Kappa Distribution", "topics": [ "quakap" ] }, { "page": "quakmu", "title": "Quantile Function of the Kappa-Mu Distribution", "topics": [ "quakmu" ] }, { "page": "quakur", "title": "Quantile Function of the Kumaraswamy Distribution", "topics": [ "quakur" ] }, { "page": "qualap", "title": "Quantile Function of the Laplace Distribution", "topics": [ "qualap" ] }, { "page": "qualmrq", "title": "Quantile Function of the Linear Mean Residual Quantile Function Distribution", "topics": [ "qualmrq" ] }, { "page": "qualn3", "title": "Quantile Function of the 3-Parameter Log-Normal Distribution", "topics": [ "qualn3" ] }, { "page": "quanor", "title": "Quantile Function of the Normal Distribution", "topics": [ "quanor" ] }, { "page": "quapdq3", "title": "Quantile Function of the Polynomial Density-Quantile3 Distribution", "topics": [ "quapdq3" ] }, { "page": "quapdq4", "title": "Quantile Function of the Polynomial Density-Quantile4 Distribution", "topics": [ "quapdq4" ] }, { "page": "quape3", "title": "Quantile Function of the Pearson Type III Distribution", "topics": [ "quape3" ] }, { "page": "quaray", "title": "Quantile Function of the Rayleigh Distribution", "topics": [ "quaray" ] }, { "page": "quarevgum", "title": "Quantile Function of the Reverse Gumbel Distribution", "topics": [ "quarevgum" ] }, { "page": "quarice", "title": "Quantile Function of the Rice Distribution", "topics": [ "quarice" ] }, { "page": "quasla", "title": "Quantile Function of the Slash Distribution", "topics": [ "quasla" ] }, { "page": "quasmd", "title": "Quantile Function of the 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