pdfgum {lmomco} | R Documentation |
This function computes the probability density
of the Gumbel distribution given parameters (xi and α) of the distribution computed
by pargum
. The probability density function of the distribution is
f(x) = α^{-1} e^{(-frac{(x-xi)}{α})} e^{-e^{(-frac{(x-xi)}{α})}} mbox{,}
where f(x) is the nonexceedance probability for quantile x, xi is a location parameter, and α is a scale parameter.
pdfgum(x, para)
x |
A real value. |
para |
The parameters from pargum or similar. |
Probability density (f) for x.
W.H. Asquith
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.
lmr <- lmom.ub(c(123,34,4,654,37,78)) gum <- pargum(lmr) x <- quagum(0.5,gum) pdfgum(x,gum)