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Selberg-type squared matrices gamma and beta integrals


 
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1. Title Title of document Selberg-type squared matrices gamma and beta integrals
 
2. Creator Author's name, affiliation, country A. K. Gupta; United States
 
2. Creator Author's name, affiliation, country D. G. Kabe; Canada
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Selberg-type integrals; squared matrices integrals; hypercomplex normal distributions; multivariate gamma and beta densities.
 
4. Description Abstract Although Selberg-type, single positive definite symmetric matrices, gamma and beta integrals are evaluated by several authors; see e.g., Askey and Richards (1989), Gupta and Kabe (2005), Mathai (1997), and elsewhere in the vast multivariate statistical analysis literature; the Selberg-type squared matrice gamma and beta interals appear to have been neglected. So also Selberg-type of integrals of positive signature symmetric matrices, skew symmetric matrices are neglected in the literature. This paper records Selberg-type squared matrices beta and gamma integrals.
 
5. Publisher Organizing agency, location JPAM
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2008-03-10
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Universal Resource Indicator http://ejpam.com/index.php/ejpam/article/view/92
11. Source Journal/conference title; vol., no. (year) European Journal of Pure and Applied Mathematics; Vol 1, No 1 (2008)
 
12. Language English=en en
 
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