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Inverted dirichlet distribution and multivariate logistic distribution
Author(s) -
Yassaee Hedayat
Publication year - 1974
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3314968
Subject(s) - dirichlet distribution , mathematics , random variate , combinatorics , distribution (mathematics) , univariate distribution , statistics , generalized dirichlet distribution , concentration parameter , multivariate t distribution , multivariate statistics , multivariate normal distribution , mathematical analysis , random variable , dirichlet series , boundary value problem
In this paper we derive a k ‐variate inverted Dirichlet distribution, D ('v 1 ,v 2 , ···, v k ; v k+1 ) by a theorem related to k+1 independent random variables having gamma distributions with different parameters v 1 ,v 2 , ···, v k+1 but with the same scale parameter, say 1. A number of results for a k ‐variate inverted Dirichlet distribution are proved and it is shown that one may deduce a k ‐dimensional multivariate logistic distribution from a k ‐variate inverted Dirichlet distribution.