quape3 {lmomco} | R Documentation |
This function computes the quantiles of the Pearson Type III distribution given
parameters (μ, σ, and gamma) of the distribution computed by
parpe3
. The
quantile function of the distribution has no explicit form (see
cdfpe3
).
For the implementation in the lmomco package, the three parameters are μ, σ, and gamma for the mean, standard deviation, and skew, respectively. Therefore, the Pearson Type III distribution is of considerable theoretical interest to this package because the parameters, which are estimated via the L-moments, are in fact the product moments. Although, these values fitted by the method of L-moments will not be numerically equal to the sample product moments. Further details are provided in the examples section of the pmoms
function documentation.
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))