## Quantile Function of the Rayleigh Distribution

### 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.