A random variable is loglogistically distributed if the logarithm of the variable is logistically distributed. This distribution is commonly used as a growth curve and to model binary responses and is often used in the biostatistics and economics fields. The loglogistic distribution is also known as the Fisk distribution.
The loglogistic distribution is described by its scale, location, and threshold (for 3 parameter model) parameters. The loglogistic distribution has no shape parameter, which means that the probability density function has only one shape.
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This is the loglogistic distribution for scale = 1.0, location = 0, and threshold = 0.0. |
The shape of the loglogistic distribution is similar to that of the lognormal and Weibull distributions.
