The CDF of the loglogistic distribution
pllogis(q, pda, pdb)Pr(X <= q | pda, pdb)
a numeric vector of quantiles
the \(\alpha\) parameter
the \(\beta\) parameter
There are several common parameterizations of the loglogistic distribution. The one used here gives the following:
Pr(X <= x) = 1/(1 + (x/\(\beta\))^-\(\alpha\))
Pr(X = x) = (\(\alpha\)/\(\beta\)) * (x/\(\beta\))^(\(\alpha\) - 1)/(1 + (x/\(\beta\))^\(\alpha\))^2