par2lmom

para

This function converts the parameters of a distribution to the L-moment as
represented in an L-moment object. This function dispatches to <code>lmomCCC</code>
where CCC represents the three character distribution identifier: <code>cau</code>,
<code>exp</code>, <code>gam</code>, <code>gev</code>, <code>gld</code>, <code>glo</code>, <code>gno</code>, <code>gpa</code>, <code>gum</code>, <code>kap</code>, <code>nor</code>, <code>pe3</code>, <code>revgum</code>, <code>wak</code>, and <code>wei</code>. The conversion of parameters to TL-moments (<code><a href="/link/TLmoms?package=lmomco&version=0.88" rd-options="" data-mini-rdoc="lmomco::TLmoms">TLmoms</a></code>) is not supported. Specific use of functions such as <code>lmomTLgld</code> or <code>lmomTLgpa</code> for the TL-moments of the Generalized Lambda and Generalized Pareto distributions is required.

distribution

The package implements the statistical theory of L-moments including 
 L-moment estimation, probability-weighted moment estimation, parameter estimation 
 for numerous familiar and not-so-familiar distributions, and L-moment estimation 
 for the same distributions from the parameters. L-moments are derived from the 
 expectations of order statistics and are linear with respect to the probability- 
 weighted moments. L-moments are directly analogous to the well-known product 
 moments; however, L-moments have many advantages including unbiasedness, 
 robustness, and consistency with respect to the product moments. This package 
 is oriented around the FORTRAN algorithms of J.R.M. Hosking, and the 
 nomenclature for many of the functions parallels that of the Hosking library. 
 However, numerous extensions are made to aid in expand of the breadth and ease
 of L-moment application. Much theoretical extension of L-moment theory has 
 occurred in recent years. E.A.H. Elamir and A.H. Seheult have developed the 
 trimmed L-moments, which are implemented in this package. Further, recent 
 developments by Robert Serfling and Peng Xiao have extended L-moments into 
 multivariate space; the so-called sample L-comoments are implemented here. The 
 supported distributions with moment type shown as L (L-moments) or TL (trimmed 
 L-moments) and additional support for right-tail censoring ([RC]) include:
 Cauchy(TL), Exponential(L), Gamma(L), Generalized Extreme Value(L),
 Generalized Lambda(L & TL), Generalized Logistic (L), Generalized Normal(L),
 Generalized Pareto(L[RC] & TL), Gumbel(L), Normal(L), Kappa(L),
 Pearson Type III(L), Reverse Gumbel(L[RC]), Wakeby(L), and Weibull(L).

par2lmom: Convert the Parameters of a Distribution to the L-moments

Description

Usage

Arguments

Value

See Also

Examples