The Loglogistic Distribution Notes

The Loglogistic Distribution

As may be surmised from the name, the loglogistic distribution is similar to the logistic distribution. Specifically, the data follows a loglogistic distribution when the natural logarithms of the times-to-failure follow a logistic distribution. Accordingly, the loglogistic and lognormal distributions also share many similarities.

The pdf of the loglogistic distribution is given by:

where:

The loglogistic distribution and its characteristics are presented in The Loglogistic Distribution.