pdfkap {lmomco} | R Documentation |
This function computes the probability density
of the Kappa distribution given parameters (xi,
α, kappa, and h) of the distribution computed by pargev
. The
probability density function of the distribution is
f(x) &= α^{-1} [1-kappa(x - xi)/α]^{1/k-1} times [F(x)]^{1-h}
where f(x) is the probability density for quantile x, F(x) is the cumulative distribution function of the distribution (cdfkap
)),
xi is a location parameter, α is a scale parameter, and
kappa is a shape parameter.
pdfkap(x, para)
x |
A real value. |
para |
The parameters from parkap or similar. |
Probability density (f) for x.
W.H. Asquith
Hosking, J.R.M. and Wallis, J.R., 1997, Regional frequency analysis—An approach based on L-moments: Cambridge University Press.
Sourced from written communication with Dr. Hosking in October 2007.
kap <- vec2par(c(1000,15000,0.5,-0.4),type='kap') F <- nonexceeds() x <- quakap(F,kap) check.pdf(pdfkap,kap,plot=TRUE)