The Moment Generating Function of Pillai’s Criterion Concerning Three Hypotheses Under Violations in the Complex case

DOI10.1080/02522667.1989.10698982zbMath0721.62054OpenAlexW2313436778MaRDI QIDQ5753393

Nashat B. Saweris

Publication date: 1989

Published in: Journal of Information and Optimization Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02522667.1989.10698982

zbMATH Keywords

complex caseMANOVAviolationcomplex normal populationscomplex noncentral Wishartlower order noncentral momentsmoment generating function of Pillai's criteriontest for canonical correlation

Mathematics Subject Classification ID

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

Cites Work

• Bessel functions of matrix argument
• The distribution of the characteristic roots of \(S_ 1 S_ 2^{-1}\) under violations in the complex case and power comparisons of four tests
• On the moments of traces of two matrices in multivariate analysis
• Non-central distributions of ith largest characteristic roots of three matrices concerning complex multivariate normal populations
• Some Results Useful in Multivariate Analysis
• Some Results on the Non-Central Multivariate Beta Distribution and Moments of Traces of Two Matrices
• Classical Statistical Analysis Based on a Certain Multivariate Complex Gaussian Distribution
• The Distribution of Hotelling's Generalised $T_0^2$
• On the Non-Central Distributions of Two Test Criteria in Multivariate Analysis of Variance
• Some Distribution Problems Connected with the Characteristic Roots of $S_1S^{-1}_2$
• On the Moment Generating Function of Pillai's $V^{(s)}$ Criterion
• Distributions of Matrix Variates and Latent Roots Derived from Normal Samples
• Some Non-Central Distribution Problems in Multivariate Analysis