lmomgum

para


This function estimates the L-moments of the Gumbel distribution given
the parameters ($\xi$ and $\alpha$) from <code><a rd-options="" href="/link/pargum?package=lmomco&version=2.2.5" data-mini-rdoc="lmomco::pargum">pargum</a></code>. The L-moments in terms of the parameters are 
$\lambda_1 = [\xi + (0.5722\dots) \alpha]$, 
$\lambda_2 = \alpha \log(2)$, 
$\tau_3 = 0.169925$, 
$\tau_4 = 0.150375$, and 
$\tau_5 = 0.055868$.


L-moment (distribution)

Distribution: Gumbel

Extensive functions for L-moments (LMs) and probability-weighted moments (PWMs), parameter estimation for distributions, LM computation for distributions, and L-moment ratio diagrams. Maximum likelihood and maximum product of spacings estimation are also available. LMs for right-tail and left-tail censoring by known or unknown threshold and by indicator variable are available. Asymmetric (asy.) trimmed LMs (TL-moments, TLMs) are supported. LMs of residual (resid.) and reversed (rev.) resid. life are implemented along with 13 quantile function operators for reliability and survival analyses.  Exact analytical bootstrap estimates of order statistics, LMs, and variances-covariances of LMs are provided. The Harri-Coble Tau34-squared Normality Test is available. Distribution support with "L" (LMs), "TL" (TLMs) and added (+) support for right-tail censoring (RC) encompasses: 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 Resid. Quantile Function [L], Normal [L], 3-p log-Normal [L], Pearson Type III [L], Rayleigh [L], Rev.-Gumbel [L+RC], Rice/Rician [L], Slash [TL], 3-p Student t [L], Truncated Exponential [L], Wakeby [L], and Weibull [L]. Multivariate sample L-comoments (LCMs) are implemented to measure asymmetric association.

William Asquith

lmomco

L-Moments, Censored L-Moments, Trimmed L-Moments, L-Comoments,
and Many Distributions

lmomgum function


This function estimates the L-moments of the Gumbel distribution given
the parameters ($\xi$ and $\alpha$) from <code><a rd-options='' href='pargum'>pargum</a></code>. The L-moments in terms of the parameters are 
$\lambda_1 = [\xi + (0.5722\dots) \alpha]$, 
$\lambda_2 = \alpha \log(2)$, 
$\tau_3 = 0.169925$, 
$\tau_4 = 0.150375$, and 
$\tau_5 = 0.055868$.


lmomgum: L-moments of the Gumbel Distribution

Description

Usage

Arguments

Value

References

See Also

Examples