lmomco (version 2.4.14)

parsla: Estimate the Parameters of the Slash Distribution

Description

This function estimates the parameters of the Slash distribution from the trimmed L-moments (TL-moments) having trim level 1. The relations between distribution parameters and TL-moments are shown under lmomsla.

Usage

parsla(lmom, ...)

Value

An R

list is returned.

type

The type of distribution: sla.

para

The parameters of the distribution.

source

The source of the parameters: “parsla”.

Arguments

lmom

A TL-moment object from TLmoms with trim=1.

...

Other arguments to pass.

Author

W.H. Asquith

References

Rogers, W.H., and Tukey, J.W., 1972, Understanding some long-tailed symmetrical distributions: Statistica Neerlandica, v. 26, no. 3, pp. 211--226.

See Also

TLmoms, lmomsla, cdfsla, pdfsla, quasla

Examples

if (FALSE) {
par1 <- vec2par(c(-100, 30), type="sla")
X   <- rlmomco(500, par1)
lmr <- TLmoms(X, trim=1)
par2 <- parsla(lmr)
F <- seq(0.001,.999, by=0.001)
plot(qnorm(pp(X)), sort(X), pch=21, col=8,
     xlab="STANDARD NORMAL VARIATE",
     ylab="QUANTILE")
lines(qnorm(F), quasla(F, par1), lwd=3)
lines(qnorm(F), quasla(F, par2), col=2)
}