lmom2par: Convert L-moments to the Parameters of a Distribution

In lmomco: L-Moments, Censored L-Moments, Trimmed L-Moments, L-Comoments, and Many Distributions

Convert L-moments to the Parameters of a Distribution

Description

This function converts L-moments to the parameters of a distribution. The type of distribution is specified in the argument list: aep4, cau, emu, exp, gam, gep, gev, gld, glo, gno, gov, gpa, gum, kap, kmu, kur, lap, lmrq, ln3, nor, pe3, ray, revgum, rice, sla, st3, texp, wak, or wei.

Usage

lmom2par(lmom, type, ...)
lmr2par(x, type, ...)

Arguments

lmom	An L-moment object such as that returned by lmoms or pwm2lmom.
type	Three character (minimum) distribution type (for example, type="gev").
...	Additional arguments for the parCCC functions.
x	In the lmr2par call the L-moments are computed from the x values. This function is a parallel to mle2par and mps2par.

Value

An R list is returned. This list should contain at least the following items, but some distributions such as the revgum have extra.

type	The type of distribution in three character (minimum) format.
para	The parameters of the distribution.
source	Attribute specifying source of the parameters.

Author(s)

W.H. Asquith

See Also

par2lmom

Examples

lmr  <- lmoms(rnorm(20))
para <- lmom2par(lmr,type="nor")

# The lmom2par() calls will error if trim != 1.
X <- rcauchy(20)
cauchy <- lmom2par(TLmoms(X, trim=1), type="cau")
slash  <- lmom2par(TLmoms(X, trim=1), type="sla")
## Not run: 
plot(pp(X), sort(X), xlab="PROBABILITY", ylab="CAUCHY")
lines(nonexceeds(), par2qua(nonexceeds(), cauchy))
lines(nonexceeds(), par2qua(nonexceeds(), slash), col=2)

## End(Not run)

lmomco documentation built on Nov. 7, 2025, 5:11 p.m.