Asymptotic optimality of the chi-square test with large number of degrees of freedom within the class of symmetric tests

zbMath0791.62048MaRDI QIDQ1325062

D. M. Chibisov

Publication date: 23 June 1994

Published in: Mathematical Methods of Statistics (Search for Journal in Brave)

zbMATH Keywords

permutationsindependent random variablesmultinomial distributionchi-square testrank statisticsnormal distributionsasymptotically most powerful symmetric testone-sided versionScheffe's lemmasymmetrized likelihood ratiouniform asymptotic negligibility condition

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Asymptotic properties of parametric tests (62F05)

Related Items (2)

Chi-squared test for hypothesis testing of homogeneity ⋮ On the asymptotic efficiency of tests in hypothesis testing problems

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