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An optimal curtailment of a randomized ump test for a proprtion

 

作者: Clarence W. Lienhard,  

 

期刊: Sequential Analysis  （Taylor Available online 1992）
卷期: Volume 11, issue 1  

页码: 17-35

 

ISSN:0747-4946

 

年代: 1992

 

DOI:10.1080/07474949208836242

 

出版商: Marcel Dekker, Inc.

 

关键词: weak admissibility;sequential tests;uniformly most powerful tests;curtailed tests;Bernoulli random variables

 

数据来源: Taylor

 

摘要:

Consider a fixed sample size UMP test of H0: p ≤ p0versus H1: p > p0, where p is a Bernoulli parameter. If the test is non-randomized the optimal curtailed version is well-known. If the test is randomized, the decision of a UMP test is not uniquely determined. This paper considers the problem of curtailing such tests so that the expected number of observations is minimized. A simple complete characterization of such tests is given.

 

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