I need to create a function (in Mathematica) to generate a log-logistic distribution (also called a Fisk distribution). I know the log-logistic distribution is derived from the logistic distribution, as follows:
X = Random variable with logistic distribution
Y = e^X = Random variable with log-logistic distribution
and I I found formulas, which will generate a PDF or CDF directly, but I think I want something more fundamental such as a LoglogisticDistribution[&] function which I could use like any of Mathematica's native distribution functions like:
NormalDistribution, LogNormalDistribution, GammaDistribution, ...
In situations like this::
PDF[LoglogisticDistribution[x] , y]
CDF[LoglogisticDistribution[x] , y]
Pseudo code or almost any other code will do, I can translate into Mathematica.