lmomco (version 2.3.1)

f2flo: Conversion of Annual Nonexceedance Probability to Conditional Probability Nonexceedance Probabilities

Description

This function converts the cumulative distribution function of \(F(x)\) to a conditional cumulative distribution function \(P(x)\) based on the probability level of the left-hand threshold. It is recommended that this threshold (as expressed as a probability) be that value returned from x2xlo in element pp. The conversion is simple $$ P(x) <- (F(x) - pp)/(1-pp)\mathrm{,} $$ where the term \(\mathrm{pp}\) corresponds to the estimated probability or plotting position of the left-hand threshold.

This function is particularly useful for applications in which zero values in the data set require truncation so that logarithms of the data may be used. But also this function contributes to the isolation of the right-hand tail of the distribution for analysis. Finally, f <- f[f >= pp] is used internally for probability subsetting, so the user does not have to do that with the nonexceedance probability before calling this function. The function f2f does similar subsetting without converting \(F(x)\) to \(P(x)\). Users are directed to Examples under par2qua2lo and carefully note how f2flow and f2f are used.

Usage

f2flo(f, pp=NA, xlo=NULL)

Arguments

f

A vector of nonexceedance probabilities.

pp

The plotting position of the left-hand threshold and recommended to come from x2xlo.

xlo

An optional result from x2xlo from which the pp will be take instead of from the argument pp.

Value

A vector of conditional nonexceedance probabilities.

See Also

x2xlo, flo2f, f2f

Examples

# NOT RUN {
# See examples for x2xlo().
# }