Properties of Matrix Variate Beta Type 3 Distribution | Zendy

Arjun K. Gupta | Zendy; Daya K. Nagar | Zendy

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Properties of Matrix Variate Beta Type 3 Distribution

Author(s) -

Arjun K. Gupta,

Daya K. Nagar

Publication year - 2009

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2009/308518

Subject(s) - random variate , mathematics , type (biology) , hypergeometric distribution , distribution (mathematics) , generalization , hypergeometric function , matrix (chemical analysis) , beta distribution , algorithm , combinatorics , statistics , random variable , pure mathematics , mathematical analysis , chemistry , ecology , biology , chromatography

We study several properties of matrix variate beta type 3 distribution.We also derive probability density functions of the product of two independent randommatrices when one of them is beta type 3. These densities are expressed in terms of Appell'sfirst hypergeometric function F1 and Humbert's confluent hypergeometric function Φ1 of matrix arguments. Further, a bimatrix variate generalization of the beta type 3 distributionis also defined and studied

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