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Exponential family - Wikipedia

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In probability and statistics, an exponential family is a parametric set of probability distributions of a certain form, specified below. This special form is chosen for mathematical convenience, including the enabling of the user to calculate expectations, covariances using differentiation based on some useful algebraic properties, as well as for generality, as exponential families are in a sense very natural sets of distributions to consider. The term exponential class is sometimes used in place of "exponential family",[1] or the older term Koopman–Darmois family. Sometimes loosely referred to as the exponential family, this class of distributions is distinct because they all possess a variety of desirable properties, most importantly the existence of a sufficient statistic. The concept of exponential families is credited to[2] E. J. G. Pitman,[3] G. Darmois,[4] and B. O. Koopman[5] in 1935–1936. Exponential families of distributions provide a general framework for selecting a possib

Exponential family - Wikipedia Jump to content From Wikipedia, the free encyclopedia This article needs more citations . Please help improve this article by adding citations to reliable sources . Unsourced material may be challenged and removed . Find sources: "Exponential family" – news · newspapers · books · scholar · JSTOR ( January 2025 ) ( Learn how and when to remove this message ) Family of probability distributions related to the normal distribution Not to be confused with the exponential distribution . "Natural parameter" redirects here. For other uses, see Natural parameter (disambig

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