A method for obtaining asymptotic expansions under alternatives based on the properties of the likelihood ratio

DOI10.1007/BF02365360zbMath0906.62007MaRDI QIDQ1269923

Vladimir Bening

Publication date: 24 November 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionslinear rank statisticslinear combinations of order statistics

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of parametric tests (62F05)

Related Items (1)

On the rate of convergence and asymptotic expansions for \(U\)-statistics under alternatives

Cites Work

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• Edgeworth expansions for linear combinations of order statistics with smooth weight functions
• A Berry-Esseen theorem for linear combinations of order statistics
• Asymptotic expansions for the power of distribution free tests in the one-sample problem
• Convergence and remainder terms in linear rank statistics
• Asymptotic expansions for the power of distributionfree tests in the two- sample problem
• Edgeworth expansions in nonparametric statistics
• On the rate of convergence of \(L\)- and \(R\)-statistics under alternatives
• On Efficiency of First and Second Order
• Bounds on Moments of Certain Random Variables
• Deficiency

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