GenEst (version 1.4.5)

pllogis: The CDF of the loglogistic distribution

Description

The CDF of the loglogistic distribution

Usage

pllogis(q, pda, pdb)

Arguments

q

a numeric vector of quantiles

pda

the \(\alpha\) parameter

pdb

the \(\beta\) parameter

Value

Pr(X <= q | pda, pdb)

Details

There are several common parameterizations of the loglogistic distribution. The one used here gives the following:

CDF

Pr(X <= x) = 1/(1 + (x/\(\beta\))^-\(\alpha\))

PDF

Pr(X = x) = (\(\alpha\)/\(\beta\)) * (x/\(\beta\))^(\(\alpha\) - 1)/(1 + (x/\(\beta\))^\(\alpha\))^2