On Nonparametric Asymptotically Minimax Tests

Sture Holm

doi:10.1214/aoms/1177693400

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Home > Journals > Ann. Math. Statist. > Volume 42 > Issue 2 > Article

April, 1971 On Nonparametric Asymptotically Minimax Tests

Sture Holm

Ann. Math. Statist. 42(2): 497-508 (April, 1971). DOI: 10.1214/aoms/1177693400

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Abstract

In this paper are studied asymptotically minimax properties of nonparametric tests. It is shown that for two different definitions of asymptotically minimax test, sequences of Wilcoxon tests are asymptotically minimax. The first definition concerns asymptotic power of tests with fixed level, and the other is a more decision-theoretic one.

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Sture Holm. "On Nonparametric Asymptotically Minimax Tests." Ann. Math. Statist. 42 (2) 497 - 508, April, 1971. https://doi.org/10.1214/aoms/1177693400