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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 ...
Download as PDF; Printable version; In other projects ... Exponential family; Exponential formula; ... This page was last edited on 23 January 2021, ...
Download as PDF; Printable version ... This is a list of exponential topics, by Wikipedia page. See also list of logarithm ... Exponential family; Exponential field;
Download as PDF; Printable version; ... Pages in category "Exponential family distributions" The following 42 pages are in this category, out of 42 total ...
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Print/export Download as PDF; Printable version; From Wikipedia, the free encyclopedia. Redirect page. Redirect to: Natural exponential family ...
In the univariate case, a real-valued random variable belongs to the additive exponential dispersion model with canonical parameter and index parameter , (,), if its probability density function can be written as
The natural exponential family of a distribution may be realized by shifting or translating K(t), and adjusting it vertically so that it always passes through the origin: if f is the pdf with cumulant generating function () = (), and | is its natural exponential family, then () = (), and () = (+) ().
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