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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; ... Pages in category "Exponential family distributions" The following 42 pages are in this category, out of 42 total ...
Pages for logged out editors learn more. ... Download as PDF; Printable version; ... Exponential family; Exponential formula;
Download as PDF; Printable version; In other projects ... This is a list of exponential topics, by Wikipedia page. See also list ... Exponential family; Exponential ...
The lognormal and Beta distribution are in the exponential family, but not the natural exponential family. The gamma distribution with two parameters is an exponential family but not a NEF and the chi-squared distribution is a special case of the gamma distribution with fixed scale parameter, and thus is also an exponential family but not a NEF ...
Print/export Download as PDF; Printable version; From Wikipedia, the free encyclopedia. Redirect page. Redirect to: Natural exponential family ...
In applied statistics, the Marshall–Olkin exponential distribution is any member of a certain family of continuous multivariate probability distributions with positive-valued components. It was introduced by Albert W. Marshall and Ingram Olkin . [ 1 ]
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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