lmomco (version 2.3.1)

quaemu: Quantile Function of the Eta-Mu Distribution

Description

This function computes the quantiles of the Eta-Mu ($\eta :\mu$) distribution given $\eta$ and $\mu$) computed by paremu. The quantile function is complex and numerical rooting of the cumulative distribution function (cdfemu) is used.

Usage

quaemu(f, para, paracheck=TRUE, yacoubsintegral=TRUE, eps=1e-7)

Arguments

f

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

para

The parameters from paremu 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.

yacoubsintegral

A logical controlling whether the integral by Yacoub (2007) is used for the cumulative distribution function instead of numerical integration of pdfemu.

eps

A close-enough error term for the recursion process.

Value

Quantile value for nonexceedance probability $F$.

References

Yacoub, M.D., 2007, The kappa-mu distribution and the eta-mu distribution: IEEE Antennas and Propagation Magazine, v. 49, no. 1, pp. 68--81

See Also

cdfemu, pdfemu, lmomemu, paremu

Examples

# NOT RUN {
quaemu(0.75,vec2par(c(0.9, 1.5), type="emu")) #
# }