quagam {lmomco} | R Documentation |
This function computes the quantiles of the Gamma distribution given
parameters (α and β) of the distribution computed by
pargam
. The quantile function has no explicit form. See the
qgamma
function and cdfgam
. The parameters have the following interpretations: α is a shape parameter and
β is a scale parameter in the R syntax.
quagam(f, para)
f |
Nonexceedance probability (0 <= F <= 1). |
para |
The parameters from pargam or similar. |
Quantile value for nonexceedance probability F.
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)) g <- pargam(lmr) quagam(0.5,g) # generate 50 random samples from this fitted parent Qsim <- rlmomco(5000,g) # compute the apparent gamma parameter for this parent gsim <- pargam(lmoms(Qsim))