parlmrq

An L-moment object created by <code><a rd-options="" href="/link/lmoms?package=lmomco&version=2.2.4" data-mini-rdoc="lmomco::lmoms">lmoms</a></code> or <code><a rd-options="" href="/link/vec2lmom?package=lmomco&version=2.2.4" data-mini-rdoc="lmomco::vec2lmom">vec2lmom</a></code>.

lmom

Should the <code>lmom</code> be checked for validity using the <code><a rd-options="" href="/link/are.lmom.valid?package=lmomco&version=2.2.4" data-mini-rdoc="lmomco::are.lmom.valid">are.lmom.valid</a></code> function. Normally this should be left as the default.

checklmom

This function estimates the parameters of the Linear Mean Residual Quantile Function distribution given the L-moments of the data in an L-moment object such as that returned by <code>lmoms</code>. The relations between distribution parameters and L-moments are seen under <code><a rd-options="" href="/link/lmomlmrq?package=lmomco&version=2.2.4" data-mini-rdoc="lmomco::lmomlmrq">lmomlmrq</a></code>.


distribution (parameters)

Distribution: Linear Mean Residual Quantile Function

Extensive functions for the theory of L-moments (LMs) in addition to probability-weighted moments (PWMs), and parameter (p) estimation for numerous familiar and not-so-familiar distributions. Estimation of LMs for the same distributions is provided as are L-moment ratio diagrams. Estimation of LMs for right-tail and left-tail censoring by known or unknown threshold and also by indicator variable is available. Asymmetric trimmed LMs (TL-moments, TLMs) are supported as are numerical integrations to dynamically compute trajectories of select TLM ratios for TL-moment ratio diagram construction.  LMs of residual (resid.) and reversed (rev.) resid. life are implemented along with 13 operators on quantile functions that are useful in reliability, lifetime, and survival analysis.  Exact analytical bootstrap estimates of order statistics, LMs, and variances-covariances of LMs are provided. The Harri-Coble Tau34-squared Test for Normality is available. Distribution support with "L" (LMs), "TL" (TLMs) and added (+) support for right-tail censoring (RC) encompasses: Asymmetric (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], 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]. LMs have multivariate analogs; the sample L-comoments (LCMs) are implemented and might have considerable application with copulas because LCMs measure asymmetric association and higher comoments or comovements of variables.

William Asquith

lmomco

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

parlmrq function

An L-moment object created by <code><a rd-options='' href='lmoms'>lmoms</a></code> or <code><a rd-options='' href='vec2lmom'>vec2lmom</a></code>.

Should the <code>lmom</code> be checked for validity using the <code><a rd-options='' href='are.lmom.valid'>are.lmom.valid</a></code> function. Normally this should be left as the default.

This function estimates the parameters of the Linear Mean Residual Quantile Function distribution given the L-moments of the data in an L-moment object such as that returned by <code>lmoms</code>. The relations between distribution parameters and L-moments are seen under <code><a rd-options='' href='lmomlmrq'>lmomlmrq</a></code>.


parlmrq: Estimate the Parameters of the Linear Mean Residual Quantile Function Distribution

Description

Usage

Arguments

Value

References

See Also

Examples