quape3 {lmomco} | R Documentation |
This function computes the quantiles of the Pearson Type III distribution given
parameters (xi, α, and gamma) of the distribution computed by
parpe3
. The
quantile function of the distribution has no explicit form (see
cdfpe3
). The parameters have the following interpretations: xi is a location parameter, α is a scale parameter, and
gamma is a shape parameter.
quape3(f, para)
f |
Nonexceedance probability (0 <= F <= 1). |
para |
The parameters from parpe3 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)) quape3(0.5,parpe3(lmr))