Simulated Power Functions

Rudolf Beran

doi:10.1214/aos/1176349847

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Home > Journals > Ann. Statist. > Volume 14 > Issue 1 > Article

March, 1986 Simulated Power Functions

Rudolf Beran

Ann. Statist. 14(1): 151-173 (March, 1986). DOI: 10.1214/aos/1176349847

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Abstract

Tests for a null hypothesis whose specification involves an unknown nuisance parameter may be obtained by inverting a bootstrap confidence region for the parameter being tested or by constructing a simulated null distribution for the test statistic. The power of either test against certain alternatives involving the same unknown nuisance parameter can itself be estimated by simulation.