**Generalizations**

Several different distributions are sometimes referred to as the **generalized log-logistic distribution**, as they contain the log-logistic as a special case. These include the Burr Type XII distribution (also known as the *Singh-Maddala distribution*) and the Dagum distribution, both of which include a second shape parameter. Both are in turn special cases of the even more general *generalized beta distribution of the second kind*. Another more straightforward generalization of the log-logistic is the shifted log-logistic distribution.

Read more about this topic: Log-logistic Distribution, Related Distributions

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