On the type-B integral equation and the distribution of wilks statist for testing independence of several groups of variables

DOI10.1080/02331888708802034zbMath0647.62048OpenAlexW2028193472MaRDI QIDQ3792075

Arjun K. Gupta, Jen Tang

Publication date: 1987

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888708802034

zbMATH Keywords

recurrence relationstesting independenceexact null distributions of Wilks statisticseries of beta functionsseries of weighted gamma functionsWilks' type-B integral equation

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Hypothesis testing in multivariate analysis (62H15) Gamma, beta and polygamma functions (33B15) Characterization and structure theory of statistical distributions (62E10) Integral equations with miscellaneous special kernels (45H05)

Related Items (2)

Wilks' Integral Equations in Multivariate Distribution Theory ⋮ Testing independence of several groups of variables

Cites Work

• Exact noncentral distributions of Wilks' Lambda and Wilks-Lawley U criteria as mixtures of incomplete beta functions: for three tests
• ON THE DISTRIBUTION OF SPHERICITY TEST CRITERION IN THE MULTIVARIATE GAUSSIAN DISTRIBUTION
• EXACT DISTRIBUTION OF CERTAIN GENERAL TEST STATISTICS IN MULTIVARIATE ANALYSIS
• The Ratio of the Geometric Mean to the Arithmetic Mean for a Random Sample from a Gamma Distribution
• On the Distribution of Wilks' Statistic for Testing the Independence of Several Groups of Variates

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