quaglo {lmomco} | R Documentation |
This function computes the quantiles of the Generalized Logistic distribution given
parameters (xi, α, and kappa) of the distribution computed by
parglo
. The quantile function of the distribution is
x(F) = xi + frac{α}{kappa}(1-(frac{1-F}{F})^kappa) mbox{ for } kappa ne 0 mbox{ and}
x(F) = xi - αlog{(frac{1-F}{F})} mbox{ for } kappa = 0 mbox{,}
where x(F) is the quantile for nonexceedance probability F, xi is a location parameter, α is a scale parameter, and kappa is a shape parameter.
quaglo(f, para)
f |
Nonexceedance probability (0 <= F <= 1). |
para |
The parameters from parglo or similar. |
Quantile value for 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)) quaglo(0.5,parglo(lmr))