L-Moments, Censored L-Moments, Trimmed L-Moments, L-Comoments, and Many Distributions
Is a Distribution Parameter Object Typed as Reverse Gumbel
Is a Distribution Parameter Object Typed as Rice
Is a Distribution Parameter Object Typed as Slash
Is a Distribution Parameter Object Typed as Singh--Maddala
Is a Distribution Parameter Object Typed as Generalized Extreme Value
Is a Distribution Parameter Object Typed as Generalized Lambda
Is a Distribution Parameter Object Typed as Generalized Logistic
Is a Distribution Parameter Object Typed as Generalized Normal
Is a Distribution Parameter Object Typed as Govindarajulu
Is a Distribution Parameter Object Typed as Generalized Pareto
Is a Distribution Parameter Object Typed as Gumbel
Is a Distribution Parameter Object Typed as Kappa
Is a Distribution Parameter Object Typed as Kappa-Mu
Is a Distribution Parameter Object Typed as Kumaraswamy
Is a Distribution Parameter Object Typed as Laplace
Is a Distribution Parameter Object Typed as 3-Parameter Student t Dist...
Use Maximum Likelihood to Estimate Parameters of a Distribution
Use Maximum Product of Spacings to Estimate the Parameters of a Distri...
Scaled Total Time on Test Transform of Distributions
Compute Select TL-moment ratios of the Generalized Logistic Distributi...
Compute Select TL-moment ratios of the Generalized Normal Distribution
Compute Select TL-moment ratios of the Generalized Pareto
Blipping Cumulative Distribution Functions
Porosity Data
Conditional Mean Residual Quantile Function of the Distributions
Add an lmomco Axis to a Plot
Add a Polished Logarthimic Axis to a Plot
Conversion between A- and B-Type Probability-Weighted Moments for Righ...
Are the L-moments valid
Are the Distribution Parameters Consistent with the Distribution
Are the Distribution Parameters Consistent with the 4-Parameter Asymme...
Test for Goodness-of-Fit
Are the Distribution Parameters Consistent with the Cauchy Distributio...
Are the Distribution Parameters Consistent with the Eta-Mu Distributio...
Are the Distribution Parameters Consistent with the Exponential Distri...
Are the Distribution Parameters Consistent with the Gamma Distribution
Are the Distribution Parameters Consistent with the Generalized Expone...
Are the Distribution Parameters Consistent with the Generalized Extrem...
Are the Distribution Parameters Consistent with the Generalized Lambda...
Are the Distribution Parameters Consistent with the Generalized Logist...
Are the Distribution Parameters Consistent with the Generalized Normal...
Are the Distribution Parameters Consistent with the Govindarajulu Dist...
Are the Distribution Parameters Consistent with the Generalized Pareto...
Are the Distribution Parameters Consistent with the Gumbel Distributio...
Are the Distribution Parameters Consistent with the Kappa Distribution
Are the Distribution Parameters Consistent with the Kappa-Mu Distribut...
Compute an L-moment from Cumulative Distribution Function
Are the Distribution Parameters Consistent with the Kumaraswamy Distri...
Are the Distribution Parameters Consistent with the Laplace Distributi...
Are the Distribution Parameters Consistent with the Linear Mean Residu...
Are the Distribution Parameters Consistent with the 3-Parameter Log-No...
Are the Distribution Parameters Consistent with the Normal Distributio...
Are the Distribution Parameters Consistent with the Polynomial Density...
Are the Distribution Parameters Consistent with the Polynomial Density...
Are the Distribution Parameters Consistent with the Pearson Type III D...
Estimate the Parameters of the Normal Distribution
Are the Distribution Parameters Consistent with the Rayleigh Distribut...
Are the Distribution Parameters Consistent with the Reverse Gumbel Dis...
Are the Distribution Parameters Consistent with the Rice Distribution
Are the Distribution Parameters Consistent with the Slash Distribution
Estimate the Parameters of the Polynomial Density-Quantile3 Distributi...
Estimate the Parameters of the Polynomial Density-Quantile4 Distributi...
Are the Distribution Parameters Consistent with the Singh--Maddala Dis...
Are the Distribution Parameters Consistent with the 3-Parameter Studen...
Are the Distribution Parameters Consistent with the Truncated Exponent...
Are the Distribution Parameters Consistent with the Asymmetric Triangu...
Is a Distribution Parameter Object Typed as Exponential
Are the Distribution Parameters Consistent with the Wakeby Distributio...
Are the Distribution Parameters Consistent with the Weibull Distributi...
Barnes Extended Hypergeometric Function
Bonferroni Curve of the Distributions
Conversion between B- and A-Type Probability-Weighted Moments for Righ...
Is a Distribution Parameter Object Typed as Gamma
Compute L-moments from Cumulative Distribution Function
Cumulative Distribution Function of the 4-Parameter Asymmetric Exponen...
Cumulative Distribution Function of the Cauchy Distribution
Cumulative Distribution Function of the Eta-Mu Distribution
Cumulative Distribution Function of the Exponential Distribution
Cumulative Distribution Function of the Gamma Distribution
Cumulative Distribution Function of the Generalized Exponential Poisso...
Cumulative Distribution Function of the Generalized Extreme Value Dist...
Cumulative Distribution Function of the Generalized Lambda Distributio...
Cumulative Distribution Function of the Generalized Logistic Distribut...
Cumulative Distribution Function of the Normal Distribution
Cumulative Distribution Function of the Generalized Normal Distributio...
Cumulative Distribution Function of the Govindarajulu Distribution
Cumulative Distribution Function of the Generalized Pareto Distributio...
Cumulative Distribution Function of the Gumbel Distribution
Cumulative Distribution Function of the Kappa Distribution
Cumulative Distribution Function of the Kappa-Mu Distribution
Cumulative Distribution Function of the Kumaraswamy Distribution
Cumulative Distribution Function of the Laplace Distribution
Cumulative Distribution Function of the Linear Mean Residual Quantile ...
Cumulative Distribution Function of the 3-Parameter Log-Normal Distrib...
Cumulative Distribution Function of the Polynomial Density-Quantile3 D...
Cumulative Distribution Function of the Polynomial Density-Quantile4 D...
Cumulative Distribution Function of the Pearson Type III Distribution
Cumulative Distribution Function of the Rayleigh Distribution
Cumulative Distribution Function of the Reverse Gumbel Distribution
Cumulative Distribution Function of the Rice Distribution
Cumulative Distribution Function of the Slash Distribution
Cumulative Distribution Function of the Singh--Maddala Distribution
Cumulative Distribution Function of the 3-Parameter Student t Distribu...
Cumulative Distribution Function of the Truncated Exponential Distribu...
Cumulative Distribution Function of the Asymmetric Triangular Distribu...
Cumulative Distribution Function of the Wakeby Distribution
Cumulative Distribution Function of the Weibull Distribution
Check Vector of Nonexceedance Probabilities
Check and Potentially Graph Probability Density Functions
Observed Data to Empirical Quantiles through Bernstein or Kantorovich ...
Equivalent Nonexceedance Probability for a Given Value through Observe...
Fit a Govindarajulu Distribution to Bounds and Location
Fit a Distribution using Minimization of Available Quantiles
List of Distribution Names
Probability Density Function of the Distributions
Lifetime of Drill Bits
Compute the Expectation of a Maximum (or Minimum and others) Order Sta...
Subsetting of Nonexceedance Probabilities Related to Conditional Proba...
Conversion of Annual Nonexceedance Probability to Conditional Probabil...
Conversion of Annual Nonexceedance Probability to Partial Duration Non...
Flip L-moments by Flip Attribute in L-moment Vector
Is a Distribution Parameter Object Typed as Generalized Extreme Value
Conversion of Conditional Nonexceedance Probability to Annual Nonexcee...
Conversion of Partial-Duration Nonexceedance Probability to Annual Non...
Compute Frequency Curve for Almost All Distributions
Plot Randomly Generated Frequency Curves from a Parent Distribution
Generate (Estimate) Confidence Intervals for Quantiles of a Parent Dis...
Gini Mean Difference Statistic
Convert a Vector of Gumbel Reduced Variates to Annual Nonexceedance Pr...
The Harmonic Mean with Zero-Value Correction
Sample Headrick and Sheng L-alpha
Hazard Functions of the Distributions
Is a Distribution Parameter Object Typed as 4-Parameter Asymmetric Exp...
Is a Distribution Parameter Object Typed as Cauchy
Is a Distribution Parameter Object Typed as Eta-Mu
L-correlation Matrix (L-correlation through Sample L-comoments)
Is a Distribution Parameter Object Typed as Linear Mean Residual Quant...
Is a Distribution Parameter Object Typed as 3-Parameter Log-Normal
Is a Distribution Parameter Object Typed as Normal
Is a Distribution Parameter Object Typed as Polynomial Density-Quantil...
Is a Distribution Parameter Object Typed as Polynomial Density-Quantil...
Is a Distribution Parameter Object Typed as Pearson Type III
Is a Distribution Parameter Object Typed as Rayleigh
Is a Distribution Parameter Object Typed as Truncated Exponential
Is a Distribution Parameter Object Typed as Asymmetric Triangular
Is a Distribution Parameter Object Typed as Wakeby
Is a Distribution Parameter Object Typed as Weibull
Laguerre Polynomial (Half)
L-comoment Coefficient Matrix
Compute a Single Sample L-comoment
Compute Sample L-comoment Matrix
Weighting Coefficient for Sample L-comoment
The Sample L-comoments for Two Variables
Leimkuhler Curve of the Distributions
L-moments of the Generalized Exponential Poisson Distribution
Unbiased Sample L-moments by Direct Sample Estimators
Convert L-moments to the Parameters of a Distribution
L-moments to Probability-Weighted Moments
Convert an L-moment object to a Vector of L-moments
L-moments of the 4-Parameter Asymmetric Exponential Power Distribution
L-moments of the Generalized Extreme Value Distribution
Trimmed L-moments of the Cauchy Distribution
L-moments, Censored L-moments, Trimmed L-moments, L-comoments, and Man...
Storage of Lookup Tables for the lmomco Package
L-moments of the Eta-Mu Distribution
L-moments of the Exponential Distribution
L-moments of the Gamma Distribution
Estimate the Parameters of the 3-Parameter Log-Normal Distribution
L-moments of the Generalized Lambda Distribution
L-moments of the Generalized Logistic Distribution
L-moments of the Generalized Normal Distribution
L-moments of the Govindarajulu Distribution
L-moments of the Generalized Pareto Distribution
B-type L-moments of the Generalized Pareto Distribution with Right-Tai...
L-moments of the Gumbel Distribution
L-moments of the Kappa Distribution
L-moments of the Kappa-Mu Distribution
L-moments of the Kumaraswamy Distribution
L-moments of the Laplace Distribution
L-moments of the Linear Mean Residual Quantile Function Distribution
L-moments of the 3-Parameter Log-Normal Distribution
L-moments of the Normal Distribution
L-moments of the Polynomial Density-Quantile3 Distribution
L-moments of the Polynomial Density-Quantile4 Distribution
L-moments of the Pearson Type III Distribution
L-moments of the Rayleigh Distribution
Sample L-moment for Right-Tail Censoring by a Marking Variable
L-moments of the Reverse Gumbel Distribution
L-moments of the Rice Distribution
Numerically Integrated L-moments of Smoothed Quantiles from Bernstein ...
Exact Bootstrap Mean and Variance of L-moments
Distribution-Free Variance-Covariance Structure of Sample L-moments
The Sample L-moments and L-moment Ratios
Trimmed L-moments of the Slash Distribution
L-moments of the Singh--Maddala Distribution
Sample L-moments Moments for Right-Tail Censoring by a Marking Variabl...
L-moments of the 3-Parameter Student t Distribution
L-moments of the Truncated Exponential Distribution
Trimmed L-moments of the Generalized Lambda Distribution
Trimmed L-moments of the Generalized Pareto Distribution
L-moments of the Asymmetric Triangular Distribution
L-moments of the Wakeby Distribution
L-moments of the Weibull Distribution
Morph an L-moment Object
L-moment Ratio Diagram Components
L-moment Ratio Diagram Components of Tau4 and Tau6
Compute Discordance on L-CV, L-skew, and L-kurtosis
Line-of-Organic Correlation
Convert a Vector of Logistic Reduced Variates to Annual Nonexceedance ...
Lorenz Curve of the Distributions
Some Common or Useful Nonexceedance Probabilities
Cumulative Distribution Function of the Distributions
Equivalent Cumulative Distribution Function of Two Distributions
Convert the Parameters of a Distribution to the L-moments
Probability Density Function of the Distributions
Quantile Function of the Distributions
Equivalent Quantile Function of Two Distributions
Equivalent Quantile Function of Two Distributions Stemming from Left-H...
Convert a Parameter Object to a Vector of Parameters
Estimate the Parameters of the 4-Parameter Asymmetric Exponential Powe...
Estimate the Parameters of the Cauchy Distribution
Estimate the Parameters of the Eta-Mu Distribution
Estimate the Parameters of the Exponential Distribution
Estimate the Parameters of the Gamma Distribution
Estimate the Parameters of the Generalized Exponential Poisson Distrib...
Estimate the Parameters of the Generalized Extreme Value Distribution
Estimate the Parameters of the Generalized Lambda Distribution
Estimate the Parameters of the Generalized Logistic Distribution
Estimate the Parameters of the Generalized Normal Distribution
Estimate the Parameters of the Govindarajulu Distribution
Estimate the Parameters of the Generalized Pareto Distribution
Estimate the Parameters of the Generalized Pareto Distribution with Ri...
Estimate the Parameters of the Gumbel Distribution
Estimate the Parameters of the Kappa Distribution
Estimate the Parameters of the Kappa-Mu Distribution
Estimate the Parameters of the Kumaraswamy Distribution
Estimate the Parameters of the Laplace Distribution
Estimate the Parameters of the Linear Mean Residual Quantile Function ...
Estimate the Parameters of the Pearson Type III Distribution
Estimate the Parameters of the Rayleigh Distribution
Estimate the Parameters of the Reverse Gumbel Distribution
Estimate the Parameters of the Rice Distribution
Estimate Quantiles from an Ensemble of Parameters
Estimate the Parameters of the Asymmetric Triangular Distribution
Estimate the Parameters of the Slash Distribution
Estimate the Parameters of the Singh--Maddala Distribution
Estimate the Parameters of the 3-Parameter Student t Distribution
Estimate the Parameters of the Truncated Exponential Distribution
Estimate the Parameters of the Generalized Lambda Distribution using T...
Estimate the Parameters of the Generalized Pareto Distribution using T...
Plot L-moment Radar Plot (Chart) Graphic
Estimate the Parameters of the Wakeby Distribution
Estimate the Parameters of the Weibull Distribution
Probability Density Function of the 4-Parameter Asymmetric Exponential...
Probability Density Function of the Cauchy Distribution
Probability Density Function of the Eta-Mu Distribution
The Sample Product Moments: Mean, Standard Deviation, Skew, and Excess...
Probability Density Function of the Exponential Distribution
Probability Density Function of the Gamma Distribution
Probability Density Function of the Generalized Exponential Poisson Di...
Probability Density Function of the Generalized Extreme Value Distribu...
Probability Density Function of the Generalized Lambda Distribution
Probability Density Function of the Generalized Logistic Distribution
Probability Density Function of the Generalized Normal Distribution
Probability Density Function of the Govindarajulu Distribution
Probability Density Function of the Generalized Pareto Distribution
Convert Probability-Weighted Moment object to a Vector
Probability Density Function of the Gumbel Distribution
Probability Density Function of the Kappa Distribution
Probability Density Function of the Kappa-Mu Distribution
Probability Density Function of the Kumaraswamy Distribution
Probability Density Function of the Laplace Distribution
Probability Density Function of the Linear Mean Residual Quantile Func...
Probability Density Function of the 3-Parameter Log-Normal Distributio...
Probability Density Function of the Normal Distribution
Probability Density Function of the Polynomial Density-Quantile3 Distr...
Probability Density Function of the Polynomial Density-Quantile4 Distr...
Probability Density Function of the Pearson Type III Distribution
Probability Density Function of the Rayleigh Distribution
Probability Density Function of the Reverse Gumbel Distribution
Probability Density Function of the Rice Distribution
Probability Density Function of the Slash Distribution
Probability Density Function of the Singh--Maddala Distribution
Probability Density Function of the 3-Parameter Student t Distribution
Probability Density Function of the Truncated Exponential Distribution
Probability Density Function of the Asymmetric Triangular Distribution
Probability Density Function of the Wakeby Distribution
Probability Density Function of the Weibull Distribution
Estimation of Optimal p-factor of Distributional Support Estimation fo...
Cumulative Distribution Function of the Distributions
Plot L-moment Ratio Diagram (Tau3 and Tau4)
Plot L-moment Ratio Diagram (Tau4 and Tau6)
Quantile Function of the Ranks of Plotting Positions
Quantile Function of the Ranks of Plotting Positions
Plotting-Position Formula
A Pretty List of Distribution Names
Convert a Vector of Annual Nonexceedance Probabilities to Gumbel Reduc...
Quantile Function of the Polynomial Density-Quantile4 Distribution
Convert a Vector of Annual Nonexceedance Probabilities to Logistic Red...
Convert a Vector of Annual Nonexceedance Probabilities to T-year Retur...
Conversion of Beta to Alpha Probability-Weighted Moments (PWMs) or Alp...
Generalized Extreme Value Plotting-Position Probability-Weighted Momen...
Plotting-Position Sample Probability-Weighted Moments
Unbiased Sample Probability-Weighted Moments
Unbiased Sample Probability-Weighted Moments
Probability-Weighted Moments to L-moments
Sample Probability-Weighted Moments for Left-Tail Censoring
Sample Probability-Weighted Moments for Right-Tail Censoring
Quantile Function of the Distributions
Compute the Quantiles of the Distribution of an Order Statistic
Estimate a Confidence Interval for Quantiles of a Parent Distribution ...
Quantile Function of the Pearson Type III Distribution
Estimate a Confidence Interval for a Single Quantile of a Parent Distr...
Quantile Function of the 4-Parameter Asymmetric Exponential Power Dist...
Quantile Function Mixture Between the 4-Parameter Asymmetric Exponenti...
Quantile Function of the Cauchy Distribution
Quantile Function of the Eta-Mu Distribution
Quantile Function of the Exponential Distribution
Quantile Function of the Gamma Distribution
Quantile Function of the Generalized Exponential Poisson Distribution
Quantile Function of the Generalized Extreme Value Distribution
Quantile Function of the Generalized Lambda Distribution
Quantile Function of the Generalized Logistic Distribution
Quantile Function of the Generalized Normal Distribution
Quantile Function of the Govindarajulu Distribution
Quantile Function of the Generalized Pareto Distribution
Quantile Function of the Gumbel Distribution
Quantile Function of the Kappa Distribution
Quantile Function of the Kappa-Mu Distribution
Quantile Function of the Kumaraswamy Distribution
Quantile Function of the Laplace Distribution
Quantile Function of the Linear Mean Residual Quantile Function Distri...
Quantile Function of the 3-Parameter Log-Normal Distribution
Quantile Function of the Normal Distribution
Quantile Function of the Polynomial Density-Quantile3 Distribution
Compute the Sensitivity Curve for a Single Quantile
Quantile Function of the Rayleigh Distribution
Quantile Function of the Reverse Gumbel Distribution
Quantile Function of the Rice Distribution
Quantile Function of the Slash Distribution
Quantile Function of the Singh--Maddala Distribution
Quantile Function of the 3-Parameter Student t Distribution
Quantile Function of the Truncated Exponential Distribution
Quantile Function of the Asymmetric Triangular Distribution
Quantile Function of the Wakeby Distribution
Quantile Function of the Weibull Distribution
Alpha-Percentile Residual Quantile Function of the Distributions
L-moments of Residual Life
Income Gap Ratio Quantile Function for the Distributions
Random Variates of a Distribution
Mean Residual Quantile Function of the Distributions
Reversed Cumulative Distribution Function (Survival Function) of the D...
Variance Residual Quantile Function of the Distributions
Reversed Alpha-Percentile Residual Quantile Function of the Distributi...
L-moments of Reversed Residual Life
Reversed Mean Residual Quantile Function of the Distributions
Reversed Variance Residual Quantile Function of the Distributions
Sen Weighted Mean Statistic
The Support of a Distribution based on the Parameters
Convert a Vector of T-year Return Periods to Annual Nonexceedance Prob...
The Tau34-squared Test: A Normality Test based on L-skew and L-kurtosi...
Compute the Theoretical L-moments of a Distribution Distribution based...
The Theoretical L-moments and L-moment Ratios using Integration of the...
The Theoretical Probability-Weighted Moments using Integration of the ...
Compute Select TL-moment ratios of the Generalized Extreme Value Distr...
The Theoretical Trimmed L-moments and TL-moment Ratios using Integrati...
A Sample Trimmed L-moment
The Sample Trimmed L-moments and L-moment Ratios
Sample Trimmed L-moments to Fitted Distribution
Compute Select TL-moment ratios of the Cauchy Distribution
Compute Select TL-moment ratios of the Exponential Distribution
Compute Select TL-moment ratios of the Gumbel Distribution
Compute Select TL-moment ratios of the 3-Parameter Log-Normal Distribu...
Compute Select TL-moment ratios of the Normal Distribution
Compute Select TL-moment ratios of the Pearson Type III
Compute Select TL-moment ratios of the Rayleigh Distribution
Total Time on Test Transform of Distributions
Conversion of a Vector through a Left-Hand Threshold to Setup Conditio...
Convert a Vector of L-moments to a L-moment Object
Convert a Vector of Parameters to a Parameter Object of a Distribution
Convert a Vector of Probability-Weighted Moments to a Probability-Weig...
Convert a Vector of TL-moments to a TL-moment Object
Estimate an Ensemble of Parameters from Three Different Methods
Conversion of a Vector through a Left-Hand Threshold to Setup Conditio...
Blipping Quantile Functions
Extensive functions for Lmoments (LMs) and probability-weighted moments (PWMs), distribution parameter estimation, LMs for distributions, LM ratio diagrams, multivariate Lcomoments, and asymmetric (asy) trimmed LMs (TLMs). Maximum likelihood and maximum product spacings estimation are available. Right-tail and left-tail LM censoring by threshold or indicator variable are available. LMs of residual (resid) and reversed (rev) residual life are implemented along with 13 quantile operators for reliability analyses. Exact analytical bootstrap estimates of order statistics, LMs, and LM var-covars are available. Harri-Coble Tau34-squared Normality Test is available. Distributions with L, TL, and added (+) support for right-tail censoring (RC) encompass: Asy Exponential (Exp) Power [L], Asy Triangular [L], Cauchy [TL], Eta-Mu [L], Exp. [L], Gamma [L], Generalized (Gen) Exp Poisson [L], Gen Extreme Value [L], Gen Lambda [L, TL], Gen Logistic [L], Gen Normal [L], Gen Pareto [L+RC, TL], Govindarajulu [L], Gumbel [L], Kappa [L], Kappa-Mu [L], Kumaraswamy [L], Laplace [L], Linear Mean Residual Quantile Function [L], Normal [L], 3p log-Normal [L], Pearson Type III [L], Polynomial Density-Quantile 3 and 4 [L], Rayleigh [L], Rev-Gumbel [L+RC], Rice [L], Singh Maddala [L], Slash [TL], 3p Student t [L], Truncated Exponential [L], Wakeby [L], and Weibull [L].