{"title":"On some efficient classes of estimators using auxiliary attribute","authors":"Shashi Bhushan, Anoop Kumar","doi":"10.59170/stattrans-2023-025","DOIUrl":null,"url":null,"abstract":"This paper considers some efficient classes of estimators for the estimation of\n population mean using known population proportion. The usual mean estimator, classical\n ratio, and regression estimators suggested by Naik and Gupta (1996) and Abd-Elfattah et\n al. (2010) estimators are identified as the members of the suggested class of\n estimators. The expressions of bias and mean square errors are derived up to first-order\n approximation. The proposed estimators were put to test against various other competing\n estimators till date. It has been found both theoretically and empirically that the\n suggested classes of estimators dominate the existing estimators.","PeriodicalId":37985,"journal":{"name":"Statistics in Transition","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Statistics in Transition","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.59170/stattrans-2023-025","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 1
Abstract
This paper considers some efficient classes of estimators for the estimation of
population mean using known population proportion. The usual mean estimator, classical
ratio, and regression estimators suggested by Naik and Gupta (1996) and Abd-Elfattah et
al. (2010) estimators are identified as the members of the suggested class of
estimators. The expressions of bias and mean square errors are derived up to first-order
approximation. The proposed estimators were put to test against various other competing
estimators till date. It has been found both theoretically and empirically that the
suggested classes of estimators dominate the existing estimators.
期刊介绍：
Statistics in Transition (SiT) is an international journal published jointly by the Polish Statistical Association (PTS) and the Central Statistical Office of Poland (CSO/GUS), which sponsors this publication. Launched in 1993, it was issued twice a year until 2006; since then it appears - under a slightly changed title, Statistics in Transition new series - three times a year; and after 2013 as a regular quarterly journal." The journal provides a forum for exchange of ideas and experience amongst members of international community of statisticians, data producers and users, including researchers, teachers, policy makers and the general public. Its initially dominating focus on statistical issues pertinent to transition from centrally planned to a market-oriented economy has gradually been extended to embracing statistical problems related to development and modernization of the system of public (official) statistics, in general.
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