The Exact Distribution of Wilks' Criterion

DOI10.1214/aoms/1177693329zbMath0216.21805OpenAlexW2026652390MaRDI QIDQ5619551

Arak M. Mathai, Pushpa N. Rathie

Publication date: 1971

Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoms/1177693329

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15)

Related Items (16)

Bimatrix Variate Beta Type IV Distribution: Relation to Wilks's Statistic and Bimatrix Variate Kummer-Beta Type IV Distribution ⋮ On distributions of covariance structures ⋮ Exact distributions of two non-central generalized Wilks's statistics ⋮ Likelihood ratio tests for elaborate covariance structures and for MANOVA models with elaborate covariance structures -- a review ⋮ Exact nonnull distribution of Wilks' statistic: The ratio and product of independent components ⋮ Exact distribution of the generalized Wilks's statistic and applications ⋮ Extensions of Wilks' integral equations and distributions of test statistics ⋮ Wilks' Integral Equations in Multivariate Distribution Theory ⋮ Generalized Hypergeometric Functions and Exact Distributions of Test Statistics ⋮ Power Function Studies ⋮ Sobre la distribucion exacta del L1(vc) de Votaw ⋮ Some properties of beta functions and the distribution for the product of independent beta random variables ⋮ The Exact and Near-Exact Distributions for the Wilks Lambda Statistic Used in the Test of Independence of Two Sets of Variables ⋮ Further results on the trace of a noncentral wishart matrix ⋮ On uniformly distributed random points in an n-Ball ⋮ A general procedure for deriving distributions

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