QUADRATIC-FORMS IN DISGUISED MATRIX T-VARIATE

Authors
Citation
Ak. Gupta et Dk. Nagar, QUADRATIC-FORMS IN DISGUISED MATRIX T-VARIATE, Statistics, 30(4), 1998, pp. 357-374
Citations number
14
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
ISSN journal
02331888
Volume
30
Issue
4
Year of publication
1998
Pages
357 - 374
Database
ISI
SICI code
0233-1888(1998)30:4<357:QIDMT>2.0.ZU;2-J
Abstract
Let X similar to N-p,N-m (0, E x I-m) and S similar to W-m(n, I-m) be independent. Further, let S = U' U, where U is a lower (upper) triangu lar matrix. Then the random matrix T = XU-1 has a disguised matrix var iate t-distribution. In this article certain expectations of functions of the random matrix T have been derived. Distributions of qudratic f orms in disguised T matrix have also been studied.