Extensions of Wilks' integral equations and distributions of test statistics

DOI10.1007/BF02481970zbMath0559.62039MaRDI QIDQ2266319

Arak M. Mathai

Publication date: 1984

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

extensionsgeneral solutionsarbitrary powers of products and ratios of beta and gamma variatesintegral equations of Wilksproduct of independent real gamma variatesproducts of independent real beta variatesratio of products of independent beta and gamma variates

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Hypothesis testing in multivariate analysis (62H15) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (8)

Hypergeometric differential equation and new identities for the coefficients of Nørlund and Bühring ⋮ Random r‐content of an r‐simplex from beta‐type‐2 random points ⋮ On cochran's and hartley's tests for homogeneity of variances when observations are autocorrelated ⋮ Distributions of powers of the central beta matrix variates and applications ⋮ On the ratio of generalized variances ⋮ Some Common Structures of Distribution Problems in Geometric Probabilities and Multivariate Statistical Analysis ⋮ On the distribution of some test statistics connected with the multivariate linear functional relationship model ⋮ Exact distribution of random volume from beta type-2 random points

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