SCI (version 1.0-2)

pe3: Pearson Type III distribution

Description

Density, distribution and quantile function of the Pearson Type III distribution

Usage

dpe3(x, shape, scale, location)
ppe3(q, shape, scale, location)
qpe3(p, shape, scale, location)

Arguments

x, q

vector of quantiles.

p

vector of probabilities.

shape

shape parameter

scale

scale parameter

location

location parameter

Value

dpe3 gives the density (pdf), ppe3 gives the distribution function (cdf), and qpe3 gives the quantile function (inverse cdf).

Details

The functions of the pe3 family are a reimplementation of the Pearson Type III Distribution in the lmomco package, making the code compatible with the standard nomenclature for distributions in R. The original functions in lmomco are pdfpe3 (density function), quape3 (quantile function) and cdfpe3 (distribution function).

References

Asquith, W.H., 2013: lmomco -- L-moments, trimmed L-moments, L-comoments, censored L-moments, and many distributions. R package version 1.7.8 , Tech University, Lubbock, Texas.

Examples

dpe3(1, shape=1, scale=2, location=3)