Exponential Families

Some articles on exponential, exponential families:

Exponential Family - Table of Distributions
... The following table shows how to rewrite a number of common distributions as exponential-family distributions with natural parameters ... The above formulas choose the functional form of the exponential-family with a log-partition function ... natural parameter, and/or using a factor outside of the exponential ...
Founders Of Statistics - Founders of Statistics
... Invented exponential families (Laplace transform), conjugate prior distributions, asymptotic analysis of estimators (including negligibility of regular priors) ... books of Stephen Stigler Edgeworth, Francis Ysidro Irish 1926 ... Revived exponential families (Laplace transforms) in statistics ... the concept of sufficient statistics, developed Edgeworth's use of exponential families and information, introducing observed Fisher information, and many theoretical concepts and practical methods, particularly ...
Exponential Family - The Meaning of "exponential Family"
... exactly what is being spoken of when the term "exponential family" is used ... speaking, there is no such thing as "the" exponential family, but rather an exponential family, and properly speaking, it is not a "distribution" but a family of ... by a set of parameters that can be varied, and what makes a family be an exponential family is a particular relationship between the domain of a family of distributions (the variable over ...
Tsallis Entropy - Exponential Families
... Many common distributions like the normal distribution belongs to the statistical exponential families ... Tsallis entropy for an exponential family can be written (Nielsen, Nock, 2011) as where F is log-normalizer and k the term indicating the carrier measure ...

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