f2fpds: Conversion of Annual Nonexceedance Probability to Partial Duration Nonexceedance Probability

Description

This function takes an annual exceedance probability and converts it to a partial duration series nonexceedance probability through a simple assumption that the Poisson distribution is appropriate. The relation between the cumulative distribution function $G(x)$ for the partial duration series is related to the cumulative distribution function $F(x)$ of the annual series by $$G(x) = [\log(F(x)) + \eta]/\eta\mathrm{.}$$ The core assumption is that successive events in the partial duration series can be considered as independent. The $\eta$ term is the arrival rate of the events. For example, suppose that 21 events have occurred in 15 years, then $\eta = 21/15 = 1.4$ events per year.

A comprehensive demonstration is shown in the example for fpds2f. That function performs the opposite conversion. Lastly, the cross reference to x2xlo is made because the example contained therein provides another example of partial duration and annual series frequency analysis.

Usage

f2fpds(f, rate=NA)

Arguments

A vector of annual nonexceedance probabilities.

rate

The number of events per year.

Value

A vector of converted nonexceedance probabilities.

References

Stedinger, J.R., Vogel, R.M., Foufoula-Georgiou, E., 1993, Frequency analysis of extreme events: in Handbook of Hydrology, ed. Maidment, D.R., McGraw-Hill, Section 18.6 Partial duration series, mixtures, and censored data, pp. 18.37--18.39.

Examples

Run this code

# See examples for fpds2f().

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