lmomco (version 2.2.5)

quagno: Quantile Function of the Generalized Normal Distribution

Description

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.

Usage

quagno(f, para, paracheck=TRUE)

Arguments

f

Nonexceedance probability ($0 \le F \le 1$).

para

The parameters from pargno or vec2par.

paracheck

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.

Value

Quantile value for nonexceedance probability $F$.

References

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.

See Also

cdfgno, pdfgno, lmomgno, pargno, qualn3

Examples

  lmr <- lmoms(c(123,34,4,654,37,78))
  quagno(0.5,pargno(lmr))