{"title":"用系统抽样差分估计器估计有限总体均值的一种有效方法","authors":"Surya K. Pal, Sagir A. Mahmud, Housila P. Singh","doi":"10.1007/s13370-024-01234-0","DOIUrl":null,"url":null,"abstract":"<div><p>This paper addresses the problem of estimating the finite population mean <span>\\(\\overline{Y}\\)</span> of the study variable <span>\\(y\\)</span> using two auxiliary variables in systematic sampling. We have suggested a difference-type estimator and its improved version, and then their properties have been studied. It has been shown that the proposed class of estimators is more efficient than the recently proposed estimators due to Tailor et al. (Stat Transit 14: 391–398, 2013) and Khan and Singh (J Prob Stat https://doi.org/10.1155/2015/248374, 2015). An empirical study has been undertaken to evaluate the performance of the suggested estimator over other existing estimators.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2025-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An efficient estimation of finite population mean through difference estimator in systematic sampling\",\"authors\":\"Surya K. Pal, Sagir A. Mahmud, Housila P. Singh\",\"doi\":\"10.1007/s13370-024-01234-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper addresses the problem of estimating the finite population mean <span>\\\\(\\\\overline{Y}\\\\)</span> of the study variable <span>\\\\(y\\\\)</span> using two auxiliary variables in systematic sampling. We have suggested a difference-type estimator and its improved version, and then their properties have been studied. It has been shown that the proposed class of estimators is more efficient than the recently proposed estimators due to Tailor et al. (Stat Transit 14: 391–398, 2013) and Khan and Singh (J Prob Stat https://doi.org/10.1155/2015/248374, 2015). An empirical study has been undertaken to evaluate the performance of the suggested estimator over other existing estimators.</p></div>\",\"PeriodicalId\":46107,\"journal\":{\"name\":\"Afrika Matematika\",\"volume\":\"36 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2025-01-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Afrika Matematika\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s13370-024-01234-0\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Afrika Matematika","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s13370-024-01234-0","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
本文解决了在系统抽样中使用两个辅助变量估计研究变量\(y\)的有限总体均值\(\overline{Y}\)的问题。提出了一种差分型估计器及其改进版本,并对其性质进行了研究。已经证明,由于Tailor等人(Stat Transit 14: 391-398, 2013)和Khan和Singh (J Prob Stat https://doi.org/10.1155/2015/248374, 2015),所提出的估计器类比最近提出的估计器更有效。已经进行了一项实证研究,以评估建议的估计器比其他现有估计器的性能。
An efficient estimation of finite population mean through difference estimator in systematic sampling
This paper addresses the problem of estimating the finite population mean \(\overline{Y}\) of the study variable \(y\) using two auxiliary variables in systematic sampling. We have suggested a difference-type estimator and its improved version, and then their properties have been studied. It has been shown that the proposed class of estimators is more efficient than the recently proposed estimators due to Tailor et al. (Stat Transit 14: 391–398, 2013) and Khan and Singh (J Prob Stat https://doi.org/10.1155/2015/248374, 2015). An empirical study has been undertaken to evaluate the performance of the suggested estimator over other existing estimators.