# quaray: Quantile Function of the Rayleigh Distribution In lmomco: L-Moments, Censored L-Moments, Trimmed L-Moments, L-Comoments, and Many Distributions

## Description

This function computes the quantiles of the Rayleigh distribution given parameters (ξ and α) computed by `parray`. The quantile function is

x(F) = ξ + √{-2α^2\log(1-F)} \mbox{,}

where x(F) is the quantile for nonexceedance probability F, ξ is a location parameter, and α is a scale parameter.

## Usage

 `1` ```quaray(f, para, paracheck=TRUE) ```

## Arguments

 `f` Nonexceedance probability (0 ≤ F ≤ 1). `para` The parameters from `parray` 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 nonexceedance probability F.

W.H. Asquith

## References

Hosking, J.R.M., 1986, The theory of probability weighted moments: Research Report RC12210, IBM Research Division, Yorkton Heights, N.Y.

`cdfray`, `pdfray`, `lmomray`, `parray`

## Examples

 ```1 2``` ``` lmr <- lmoms(c(123,34,4,654,37,78)) quaray(0.5,parray(lmr)) ```

lmomco documentation built on March 18, 2018, 1:45 p.m.