prob2grv {lmomco}

Convert a Vector of Annual Nonexceedance Probabilities to Gumbel Reduced Variates

Description

This function converts a vector of annual nonexceedance probabilities F to Gumbel reduced variates (GRV, grv; Hosking and Wallis [1997, p. 92])

grv = -\log(-\log(F))\mbox{,}

where 0 \le F \le 1. The Gumbel distribution (quagum), which is a special case of the Generalized Extreme Value (quagev), will plot as a straightline when the horizontal axis is GRV transformed.

Usage

prob2grv(f)

Arguments

f

A vector of annual nonexceedance probabilities.

Value

A vector of Gumbel reduced variates.

Author(s)

W.H. Asquith

References

Hosking, J.R.M., and Wallis, J.R., 1997, Regional frequency analysis—An approach based on L-moments: Cambridge University Press.

See Also

grv2prob, prob2T

Examples

F <- nonexceeds()
grv <- prob2grv(F)