gen_gamma_par_from_gamma_par: Generalized gamma parameters from gamma parameters and...

In niknap/ScalingFunctions: Collection of functions for scaling of distributions

Description

If a variable x follows a gamma distribution the dependent variable y, which is related to x via a power law relationship y=a*x^b follows a generalized gamma distribution (GG). The parameters of the GG can be calculated from the input gamma parameters and the power law coefficients. Two alternative formulations for the GG exist in the literature, one of which uses parameters named a, d, p while the other one uses mu, sigma, Q (e.g., R package flexsurv). Both parameter sets are calculated by this function. For parameter conversion see also: https://en.wikipedia.org/wiki/Generalized_gamma_distribution

Usage

gen_gamma_par_from_gamma_par(pl.fac, pl.exp, g.shape, g.rate)

Arguments

pl.fac	Power law prefactor
pl.exp	Power law exponent
g.shape	Gamma shape parameter
g.rate	Gamma rate parameter

Value

Vector containing GG parameters a, d, p and mu, sigma, Q as well as descriptive statistics mean, var and sd of the GG

Author(s)

Nikolai Knapp, [e-mail]

niknap/ScalingFunctions documentation built on May 22, 2021, 6:43 a.m.