Related Distributions
- If then
- (Dagum distribution)
- (Singh-Maddala distribution)
- Beta prime distribution
- If X has a log-logistic distribution with scale parameter and shape parameter then Y = log(X) has a logistic distribution with location parameter and scale parameter .
- As the shape parameter of the log-logistic distribution increases, its shape increasingly resembles that of a (very narrow) logistic distribution. Informally, as →∞,
- The log-logistic distribution with shape parameter and scale parameter is the same as the generalized Pareto distribution with location parameter, shape parameter and scale parameter
- The addition of another parameter (a shift parameter) formally results in a shifted log-logistic distribution, but this is usually considered in a different parameterization so that the distribution can be bounded above or bounded below.
Read more about this topic: Log-logistic Distribution
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