Generalized beta distribution

<p>In <a href="/facts/Probability/fgYvMhwb">probability</a> and <a href="/facts/Statistics/DNPsKGYU">statistics</a>, the generalized beta distribution is a <a href="/facts/Continuous_probability_distribution/EpsKKVRu">continuous probability distribution</a> with four <a href="/facts/Shape_parameter/7jaG8RDp">shape parameters</a>, including more than thirty named distributions as <a href="/facts/Limiting_case_(mathematics)/UEehGCom">limiting</a> or <a href="/facts/Special_case/bKaJ85XJ">special cases</a>. A fifth parameter for <a href="/facts/Scale_parameter/6lxcyKUf">scaling</a> is sometimes included, while a sixth parameter for <a href="/facts/Location_parameter/UQTyS3JU">location</a> is customarily left implicit and excluded from the characterization. The distribution has been used in the modeling of <a href="/facts/Income_distribution/5ewT5Q6S">income distribution</a>, stock returns, as well as in <a href="/facts/Regression_analysis/n6z5Tf7K">regression analysis</a>. The exponential generalized beta (EGB) distribution follows directly from the GB and generalizes other common distributions.
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Generalized beta distribution open-in-new

Generalized beta distribution