On the Durbin-Wagle randomization device and some of its applications

DOI10.1016/J.JMVA.2012.03.003zbMath1244.62015OpenAlexW2031394755MaRDI QIDQ432303

Zbigniew Szkutnik

Publication date: 4 July 2012

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2012.03.003

zbMATH Keywords

asymptotic distributionquasi-most powerful invariant testrandom substitutionsample configurationtesting multivariate normality

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Hypothesis testing in multivariate analysis (62H15)

Cites Work

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• Durbin's random substitution and conditional Monte Carlo
• Approximations to most powerful invariant tests for multinormality against some irregular alternatives
• A note on asymptotic expansions for the power of perturbed tests
• Inertia characteristics of self-adjoint matrix polynomials
• Most powerful invariant tests for binormality
• Assessing multivariate normality on the ``worst sample configuration
• Likelihood-based discrimination between separate scale and regression models
• On the Mutual Independence of Certain Statistics
• Some methods of constructing exact tests
• On the Strong Law of Large Numbers and Related Results for Quasi-Stationary Sequences
• Quasi Most Powerful Invariant Goodness‐of‐fit Tests
• An Optimum Test Property of Two Well-Known Statistics

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