cdfkap {lmomco}R Documentation

Cumulative Distribution Function of the Kappa Distribution

Description

This function computes the cumulative probability or nonexceedance probability of the Kappa distribution given parameters (xi, α, and kappa, h) of the distribution computed by parkap. The cumulative distribution function of the distribution is

F(x) = (1-h(1-frac{kappa(x-xi)}{α})^{1/kappa})^{1/h} mbox{,}

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

Usage

cdfkap(x, para)

Arguments

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

Value

Nonexceedance probability (F) for x.

Author(s)

W.H. Asquith

References

Hosking, J.R.M., 1990, L-moments—Analysis and estimation of distributions using linear combinations of order statistics: Journal of the Royal Statistical Society, Series B, vol. 52, p. 105–124.

Hosking, J.R.M., 1996, FORTRAN routines for use with the method of L-moments: Version 3, IBM Research Report RC20525, T.J. Watson Research Center, Yorktown Heights, New York.

Hosking, J.R.M. and Wallis, J.R., 1997, Regional frequency analysis—An approach based on L-moments: Cambridge University Press.

See Also

quakap, parkap

Examples

  lmr <- lmom.ub(c(123,34,4,654,37,78,21,32,231,23))
  cdfkap(50,parkap(lmr))

[Package lmomco version 0.96.3 Index]