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A Topological Criterion for Hypothesis Testing

Amir Dembo, Yuval Peres

The Annals of Statistics · 1994 · Volume 22 · Issue 1

DOI: 10.1214/aos/1176325360

Abstract

A simple topological criterion is given for the existence of a sequence of tests for composite hypothesis testing problems, such that almost surely only finitely many errors are made.

Keywords

60F15; 62F03; 62G10; Hypothesis testing; moment conditions;

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