lmomco (version 2.3.1)

quasla: Quantile Function of the Slash Distribution

Description

This function computes the quantiles of the Slash distribution given parameters (\(\xi\) and \(\alpha\)) provided by parsla. The quantile function \(x(F; \xi, \alpha)\) for nonexceedance probability \(F\) and where \(\xi\) is a location parameter and \(\alpha\) is a scale parameter is complex and requires numerical optimization of the cumulative distribution function (cdfsla).

Usage

quasla(f, para, paracheck=TRUE)

Arguments

f

Nonexceedance probability (\(0 \le F \le 1\)).

para

The parameters from parsla or vec2par.

paracheck

A logical controlling whether the parameters are checked for validity. Overriding of this check might be extremely important and needed for use of the quantile function in the context of TL-moments with nonzero trimming.

Value

Quantile value for for nonexceedance probability \(F\).

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

cdfsla, pdfsla, lmomsla, parsla

Examples

# NOT RUN {
para <- c(12,1.2)
quasla(0.55,vec2par(para,type='sla'))
# }