| pdfgam {lmomco} | R Documentation |
This function computes the probability density function
of the Gamma distribution given parameters (α, shape, and β, scale) of the
distribution computed by pargam. The probability density
function of the distribution has no explicit form, but is expressed as an integral.
f(x) = frac{1}{β^αΓ(α)} x^{α - 1} e^{-x/β} mbox{,}
where f(x) is the probability density for the quantile x. The parameters have the following interpretation in the R syntax; α is a shape parameter and β is a scale parameter.
pdfgam(x, para)
x |
A real value. |
para |
The parameters from pargam 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 <- lmoms(c(123,34,4,654,37,78)) gam <- pargam(lmr) x <- quagam(0.5,gam) pdfgam(x,gam)