| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 472807 | Computers & Mathematics with Applications | 2006 | 12 Pages |
Abstract
Let X1,…, Xr+1 be independent random variables, Xi∼Ga (ai, θ, δi), i = 1,…, r + 1. Define and Vi = Xi/Xr+1, i = 1,…, r. Then, (U1,…, Ur) and (V1,…, Vr) follow noncentral Dirichlet Type 1 and Type 2 distributions, respectively. In this article several properties of these distributions and their connections with the uniform, the noncentral multivariate-F and the noncentral multivariate-t distributions are discussed.
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