On a stochastic inequality for the Wilks statistic

DOI10.1007/BF02504653zbMath0352.62053OpenAlexW2105785790MaRDI QIDQ1235947

Arjun K. Gupta

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1007/bf02504653

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Hypothesis testing in multivariate analysis (62H15)

Related Items (2)

Approximation for the distribution function of non-central complex Wilks statistic ⋮ Exact nonnull distribution of Wilks' statistic: The ratio and product of independent components

Cites Work

• A note on the non-null distribution of the Wilks statistic in MANOVA
• Random Orthogonal Transformations and their use in Some Classical Distribution Problems in Multivariate Analysis
• Distribution of the Likelihood Ratio for Testing Multivariate Linear Hypotheses
• CERTAIN GENERALIZATIONS IN THE ANALYSIS OF VARIANCE
• METHODS OF STATISTICAL ANALYSIS APPROPRIATE FOR k SAMPLES OF TWO VARIABLES
• A comparison of tests of the Wilks-Lawley hypothesis in multivariate analysis
• Admissible Bayes Character of $T^2-, R^2-$, and Other Fully Invariant Tests for Classical Multivariate Normal Problems
• Exact distributions of Wilks's likelihood ratio criterion
• On the exact distribution of Wilks's criterion
• Monotonicity of the Power Functions of Some Tests of the Multivariate Linear Hypothesis
• Noncentral Distribution of Wilks' Statistic in Manova
• On the Admissibility of Some Tests of Manova
• Some Extensions of the Wishart Distribution
• The Non-Central Wishart Distribution and Certain Problems of Multivariate Statistics

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