Loglogistic distribution

Use the loglogistic distribution if the logarithm of the variable is logistically distributed.For example, the loglogistic distribution is used in growth models and to model binary responses in fields such as biostatistics and economics.

The loglogistic distribution is a continuous distribution that is defined by its scale and location parameters.The 3-parameter loglogistic distribution is defined by its scale, location, and threshold parameters.The loglogistic distribution has no shape parameter, which means that the probability density function has only one shape.

The shape of the loglogistic distribution is similar to that of the lognormal and Weibull distributions.
Loglogistic distribution

This is the loglogistic distribution for scale=1.0, location=0.0, and threshold=0.0.

The loglogistic distribution is also known as the Fisk distribution.

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