Minimax testing of the hypothesis of independence for ellipsoids in \(l_ p\)

DOI10.1007/BF02362345zbMath0852.62042MaRDI QIDQ1336091

Yuri I. Ingster

Publication date: 17 October 1994

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

Full work available at URL: https://eudml.org/doc/68379

zbMATH Keywords

ranksU-statisticstests for independenceminimax testingasymptotic minimax testsasymptotic minimax value of the power

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10)

Related Items (7)

Adaptive test of independence based on HSIC measures ⋮ Test d'indépendance nonparametrique. (Asymptotically minimax testing of the hypothesis of independence) ⋮ Minimax goodness-of-fit testing in multivariate nonparametric regression ⋮ Adaptive minimax test of independence ⋮ SIMULTANEOUS SPECIFICATION TESTING OF MEAN AND VARIANCE STRUCTURES IN NONLINEAR TIME SERIES REGRESSION ⋮ Optimal rates for independence testing via $U$-statistic permutation tests ⋮ Asymptotically minimax test for a composite null hypothesis in the density model

Cites Work

• Asymptotically minimax hypothesis testing for nonparametric alternatives. I
• Minimax Testing of Nonparametric Hypotheses on a Distribution Density in the $L_p$ Metrics
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