This function computes the quantiles of the Generalized Normal (Log-Normal3) distribution given parameters (\(\xi\), \(\alpha\), and \(\kappa\)) computed by pargno. The quantile function has no explicit form. The parameters have the following interpretations: \(\xi\) is a location parameter, \(\alpha\) is a scale parameter, and \(\kappa\) is a shape parameter.
quagno(f, para, paracheck=TRUE)Quantile value for nonexceedance probability \(F\).
Nonexceedance probability (\(0 \le F \le 1\)).
The parameters from pargno or vec2par.
A logical controlling whether the parameters are checked for validity. Overriding of this check might be extremely important and needed for use of the quantile function in the context of TL-moments with nonzero trimming.
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, v. 52, pp. 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.
cdfgno, pdfgno, lmomgno, pargno, qualn3
lmr <- lmoms(c(123,34,4,654,37,78))
quagno(0.5,pargno(lmr))
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