pdfray: Probability Density Function of the Rayleigh Distribution

In lmomco: L-Moments, Censored L-Moments, Trimmed L-Moments, L-Comoments, and Many Distributions

Probability Density Function of the Rayleigh Distribution

Description

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

f(x) = \frac{x - \xi}{\alpha^2}\,\exp\!\left(\frac{-(x - \xi)^2}{2\alpha^2}\right)\mbox{,}

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

Usage

pdfray(x, para)

Arguments

x	A real value vector.
para	The parameters from parray 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, lmomray, parray

Examples

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

lmomco documentation built on Nov. 7, 2025, 5:11 p.m.