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Reference.org
Generalized logistic distribution
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<p>The term generalized logistic distribution is used as the name for several different families of <a href="/facts/Probability_distributions/EpsKKVRu">probability distributions</a>. For example, Johnson et al. list four forms, which are listed below. </p><p>Type I has also been called the skew-logistic distribution. Type IV subsumes the other types and is obtained when applying the <a href="/facts/Logit/5674C2DL">logit</a> transform to <a href="/facts/Beta_distribution/DbJk4eeV">beta</a> random variates. Following the same convention as for the <a href="/facts/Log-normal_distribution/V2RXmmlE">log-normal distribution</a>, type IV may be referred to as the logistic-beta distribution, with reference to the standard <a href="/facts/Logistic_function/IaQ254t7">logistic function</a>, which is the inverse of the logit transform. </p><p>For other families of distributions that have also been called generalized logistic distributions, see the <a href="/facts/Shifted_log-logistic_distribution/EBUz1Yab">shifted log-logistic distribution</a>, which is a generalization of the <a href="/facts/Log-logistic_distribution/ze7Pasb3">log-logistic distribution</a>; and the <a href="/facts/Metalog_distribution/MWJJ3edV">metalog ("meta-logistic") distribution</a>, which is highly shape-and-bounds flexible and can be fit to data with linear least squares. </p>