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  2. Exponential family - Wikipedia

    en.wikipedia.org/wiki/Exponential_family

    The terms "distribution" and "family" are often used loosely: Specifically, an exponential family is a set of distributions, where the specific distribution varies with the parameter; [a] however, a parametric family of distributions is often referred to as "a distribution" (like "the normal distribution", meaning "the family of normal distributions"), and the set of all exponential families ...

  3. Category:Exponential family distributions - Wikipedia

    en.wikipedia.org/wiki/Category:Exponential...

    Download as PDF; Printable version; ... Pages in category "Exponential family distributions" ... out of 42 total.

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  5. Natural exponential family - Wikipedia

    en.wikipedia.org/wiki/Natural_exponential_family

    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 ...

  6. Category talk:Exponential family distributions - Wikipedia

    en.wikipedia.org/wiki/Category_talk:Exponential...

    Pages for logged out editors learn ... Exponential family distributions. Add languages. Page contents not supported in other languages. ... Download as PDF; Printable ...

  7. Cumulant - Wikipedia

    en.wikipedia.org/wiki/Cumulant

    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 () = (+) ().

  8. Exponential distribution - Wikipedia

    en.wikipedia.org/wiki/Exponential_distribution

    In probability theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the distance between events in a Poisson point process, i.e., a process in which events occur continuously and independently at a constant average rate; the distance parameter could be any meaningful mono-dimensional measure of the process, such as time ...

  9. Monotone likelihood ratio - Wikipedia

    en.wikipedia.org/wiki/Monotone_likelihood_ratio

    Download as PDF; Printable version; ... the one-dimensional exponential family of probability density functions or probability mass ... If a family of distributions ...

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