quaray {lmomco}R Documentation

Quantile Function of the Rayleigh Distribution

Description

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

x(F) = xi + sqrt{-2α^2log(1-F)} mbox{,}

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

Usage

quaray(f, para)

Arguments

f Nonexceedance probability (0 <= F <= 1).
para The parameters from parray or similar.

Value

Quantile value for nonexceedance probability F.

Author(s)

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.

See Also

cdfray, parray

Examples

  lmr <- lmom.ub(c(123,34,4,654,37,78))
  quaray(0.5,parray(lmr))

[Package lmomco version 0.96.3 Index]