What does inverted dirichlet distribution mean?
Definitions for inverted dirichlet distribution
in·vert·ed dirich·let dis·tri·bu·tion
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Wikipedia
Inverted Dirichlet distribution
In statistics, the inverted Dirichlet distribution is a multivariate generalization of the beta prime distribution, and is related to the Dirichlet distribution. It was first described by Tiao and Cuttman in 1965.The distribution has a density function given by p ( x 1 , … , x k ) = Γ ( ν 1 + ⋯ + ν k + 1 ) ∏ j = 1 k + 1 Γ ( ν j ) x 1 ν 1 − 1 ⋯ x k ν k − 1 × ( 1 + ∑ i = 1 k x i ) − ∑ j = 1 k + 1 ν j , x i > 0. {\displaystyle p\left(x_{1},\ldots ,x_{k}\right)={\frac {\Gamma \left(\nu _{1}+\cdots +\nu _{k+1}\right)}{\prod _{j=1}^{k+1}\Gamma \left(\nu _{j}\right)}}x_{1}^{\nu _{1}-1}\cdots x_{k}^{\nu _{k}-1}\times \left(1+\sum _{i=1}^{k}x_{i}\right)^{-\sum _{j=1}^{k+1}\nu _{j}},\qquad x_{i}>0.} The distribution has applications in statistical regression and arises naturally when considering the multivariate Student distribution.
Numerology
Chaldean Numerology
The numerical value of inverted dirichlet distribution in Chaldean Numerology is: 1
Pythagorean Numerology
The numerical value of inverted dirichlet distribution in Pythagorean Numerology is: 3
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"inverted dirichlet distribution." Definitions.net. STANDS4 LLC, 2024. Web. 10 Oct. 2024. <https://www.definitions.net/definition/inverted+dirichlet+distribution>.
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