pdfray {lmomco}R Documentation

Probability Density Function of the Rayleigh Distribution

Description

This function computes the probability density of the Rayleigh distribution given parameters (xi and α) of the distribution computed by parray. The probability density function of the distribution is

f(x) = frac{x - xi}{α^2}e^{-(x - xi)^2/(2α^2)}mbox{,}

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

Usage

pdfray(x, para)

Arguments

x A real value.
para The parameters from pargum or similar.

Value

Probability density (f) for x.

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, quaray, parray

Examples

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

[Package lmomco version 0.96.3 Index]