| 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))