| 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)