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lmomco (version 2.4.14)

prob2lrv: Convert a Vector of Annual Nonexceedance Probabilities to Logistic Reduced Variates

Description

This function converts a vector of annual nonexceedance probabilities \(F\) to logistic reduced variates (LRV, \(lrv\)) $$lrv = 1/(\exp(-lrv) + 1)\mbox{,}$$ where \(0 \le F \le 1\). The logistic distribution, which is generalized by the Generalized Logistic (quaglo) with \(\kappa = 0\), will plot as a straightline when the horizontal axis is LRV transformed.

Usage

prob2lrv(f)

Value

A vector of logistic reduced variates.

Arguments

f

A vector of annual nonexceedance probabilities.

Author

W.H. Asquith

References

Bradford, R.B., 2002, Volume-duration growth curves for flood estimation in permeable catchments: Hydrology and Earth System Sciences, v. 6, no. 5, pp. 939--947.

See Also

lrv2prob, prob2T

Examples

Run this code
F <- nonexceeds()
lrv <- prob2lrv(F)
if (FALSE) {
X <- rlmomco(10040, vec2par(c(0,1,0), type="glo"))
plot(prob2lrv(pp(X, a=0.4)), sort(X)); abline(0,1)
}

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