{"title":"Mean square error and variance estimation of the sample ratio under Lahiri ’s design","authors":"Hiroshi Saigo","doi":"10.1016/j.spl.2024.110277","DOIUrl":null,"url":null,"abstract":"<div><div>The mean square error of the sample ratio under Lahiri’s design is derived and is compared with that under simple random sampling without replacement. New variance estimators of the sample ratio under the design are proposed. A simulation study is conducted to confirm the main results.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"216 ","pages":"Article 110277"},"PeriodicalIF":0.9000,"publicationDate":"2024-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Statistics & Probability Letters","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167715224002463","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
引用次数: 0
Abstract
The mean square error of the sample ratio under Lahiri’s design is derived and is compared with that under simple random sampling without replacement. New variance estimators of the sample ratio under the design are proposed. A simulation study is conducted to confirm the main results.
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