cdfgam {lmomco}R Documentation

Cumulative Distribution Function of the Gamma Distribution

Description

This function computes the cumulative probability or nonexceedance probability of the Gamma distribution given parameters (α and β) of the distribution computed by pargam. The cumulative distribution function of the distribution has no explicit form, where α is a shape parameter and β is a scale parameter in the R syntax.

Usage

cdfgam(x, para)

Arguments

x A real value.
para The parameters from pargam 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

quagam, pargam

Examples

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

[Package lmomco version 0.7 Index]