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A Class of Multivariate Distributions
Author(s) -
Sivazlian B. D.
Publication year - 1981
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1981.tb00785.x
Subject(s) - dirichlet distribution , multivariate statistics , mathematics , class (philosophy) , distribution (mathematics) , beta distribution , normal wishart distribution , multivariate normal distribution , combinatorics , statistics , pure mathematics , mathematical analysis , computer science , artificial intelligence , boundary value problem
Summary In this paper we introduce a class of multivariate distributions, known as the generalized Liouville distribution and defined by the functional form (0 ≤ x i < ∞, α i > 0, β i > 0, q i > 0). It is shown that such distributions can be used to derive both the Dirichlet distribution and the beta distribution of the second kind.