cdfray {lmomco}R Documentation

Cumulative Distribution Function of the Rayleigh Distribution

Description

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

F(x) = 1 - 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

cdfray(x, para)

Arguments

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

Value

Nonexceedance probability (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

quaray, parray

Examples

  lmr <- lmom.ub(c(123,34,4,654,37,78))
  cdfray(50,parray(lmr))

[Package lmomco version 0.96.3 Index]