{"title":"Efficient estimation of population mean in the presence of non-response and\n measurement error","authors":"Kuldeep Kumar Tiwari, Vishwantra Sharma","doi":"10.59170/stattrans-2023-038","DOIUrl":null,"url":null,"abstract":"In real-world surveys, non-response and measurement errors are common, therefore\n studying them together seems rational. Some population mean estimators are modified and\n studied in the presence of non-response and measurement errors. Bias and mean squared\n error expressions are derived under different cases. For all estimators, a theoretical\n comparison is made with the sample mean per unit estimator. The Monte-Carlo simulation\n is used to present a detailed picture of all estimators’ performance.","PeriodicalId":37985,"journal":{"name":"Statistics in Transition","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-06-13","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-2023-038","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
In real-world surveys, non-response and measurement errors are common, therefore
studying them together seems rational. Some population mean estimators are modified and
studied in the presence of non-response and measurement errors. Bias and mean squared
error expressions are derived under different cases. For all estimators, a theoretical
comparison is made with the sample mean per unit estimator. The Monte-Carlo simulation
is used to present a detailed picture of all estimators’ performance.
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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