{"title":"A restricted subset selection procedure for selecting the largest normal mean under heteroscedasticity","authors":"Elena M. Buzaianu, Pinyuen Chen, Lifang Hsu","doi":"10.1080/07474946.2022.2159042","DOIUrl":null,"url":null,"abstract":"Abstract This article considers the goal of selecting the population with the largest mean among k normal populations when variances are not known. We propose a Stein-type two-sample procedure, denoted by for selecting a nonempty random-size subset of size at most m ( ) that contains the population associated with the largest mean, with a guaranteed minimum probability whenever the distance between the largest mean and the second largest mean is at least where m, and are specified in advance of the experiment. The probability of a correct selection and the expected subset size of are derived. Critical values/procedure parameters that are required for certain k, m, and are obtained by solving simultaneous integral equations and are presented in tables.","PeriodicalId":48879,"journal":{"name":"Sequential Analysis-Design Methods and Applications","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2023-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Sequential Analysis-Design Methods and Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/07474946.2022.2159042","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
引用次数: 0
Abstract
Abstract This article considers the goal of selecting the population with the largest mean among k normal populations when variances are not known. We propose a Stein-type two-sample procedure, denoted by for selecting a nonempty random-size subset of size at most m ( ) that contains the population associated with the largest mean, with a guaranteed minimum probability whenever the distance between the largest mean and the second largest mean is at least where m, and are specified in advance of the experiment. The probability of a correct selection and the expected subset size of are derived. Critical values/procedure parameters that are required for certain k, m, and are obtained by solving simultaneous integral equations and are presented in tables.
期刊介绍：
The purpose of Sequential Analysis is to contribute to theoretical and applied aspects of sequential methodologies in all areas of statistical science. Published papers highlight the development of new and important sequential approaches.
Interdisciplinary articles that emphasize the methodology of practical value to applied researchers and statistical consultants are highly encouraged. Papers that cover contemporary areas of applications including animal abundance, bioequivalence, communication science, computer simulations, data mining, directional data, disease mapping, environmental sampling, genome, imaging, microarrays, networking, parallel processing, pest management, sonar detection, spatial statistics, tracking, and engineering are deemed especially important. Of particular value are expository review articles that critically synthesize broad-based statistical issues. Papers on case-studies are also considered. All papers are refereed.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
