๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A multiple integral involving zonal polynomials

โœ Scribed by A.K Gupta; D.G Kabe

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
198 KB
Volume
17
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

โœฆ Synopsis

A certain multiple integral evaluated by Chikuse [1, p. 402, equation (11)] is evaluated in this paper by two different methods. The value of this integral is expressed in terms of a single matrix argument zonal polynomial unlike Chikuse [1], who expresses this value in terms of a zonal poiynomial of two matrix arguments.

๐Ÿ“œ SIMILAR VOLUMES

Some generalized multiple integrals invo
Some generalized multiple integrals involving zonal polynomials
โœ A.K. Gupta; D.G. Kabe ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 217 KB

Subrahmaniam [1] records the expected values of certain zonal polynomials for the multivariate Dirichlet distribution. Actually, these results are expected values of certain zonal polynomials for the multivariate beta distribution. The present paper evaluates the expected values for a single matrix