A Decomposition of Pearson–Fisher and Dzhaparidze–Nikulin Statistics and Some Ideas for a More Powerful Test Construction

DOI10.1080/03610920902775548zbMath1188.62176OpenAlexW2155060576MaRDI QIDQ3562438

Vassily Voinov

Publication date: 21 May 2010

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920902775548

zbMATH Keywords

decomposition of testsPearson-Fisher testvector-valued testsDzhaparidze-Nikulin testpower of components

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Hypothesis testing in multivariate analysis (62H15) Asymptotic properties of parametric tests (62F05)

Related Items (1)

Goodness-of-Fit Tests for the Power-Generalized Weibull Probability Distribution

Cites Work

• Unnamed Item
• Decompositions of Pearson's chi-squared test
• Karl Pearson's theoretical errors and the advances they inspired
• A Note on Vector-Valued Goodness-of-Fit Tests
• A Comparative Study of Some Modified Chi-Squared Tests
• Karl Pearson and the Chi-Squared Test
• A chi-squabe statistic for goodies-of-fit tests within the exponential family
• On a Modification of the Standard Statistics of Pearson
• A New Proof of the Pearson-Fisher Theorem
• Some Methods for Strengthening the Common χ 2 Tests

This page was built for publication: A Decomposition of Pearson–Fisher and Dzhaparidze–Nikulin Statistics and Some Ideas for a More Powerful Test Construction