quape3 {lmomco}R Documentation

Quantile Function of the Pearson Type III Distribution

Description

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.

Usage

quape3(f, para)

Arguments

f Nonexceedance probability (0 <= F <= 1).
para The parameters from parpe3 or similar.

Value

Quantile value for nonexceedance probability F.

Author(s)

W.H. Asquith

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, 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.

See Also

cdfpe3, parpe3

Examples

  lmr <- lmom.ub(c(123,34,4,654,37,78))
  quape3(0.5,parpe3(lmr))

[Package lmomco version 0.84 Index]