{"title":"Two-Phase Ratio Estimation Using Ordinal and Ratio Auxiliary Variables in Non-response","authors":"R. R. Sinha, Bharti Khanna","doi":"10.1007/s40010-023-00824-0","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, problem of estimation of ratio of two population means has been discussed in presence of non-response. A wider two-phase class of estimators has been suggested using ratio and ordinal auxiliary variables under incomplete data due to non-response. Expressions of bias and mean square error of the suggested class of estimators have been derived, and minimum value of mean square error has been obtained under optimum conditions. The properties of the suggested class of estimators have been studied under fixed budget as well as precision. The increase in efficiency of the suggested class of estimators over the relevant estimators has been demonstrated by real data analysis. On the ground of theoretical and empirical studies, it has been explained that suggested class of estimators is efficient than existing conventional estimators.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"93 4","pages":"695 - 702"},"PeriodicalIF":0.8000,"publicationDate":"2023-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40010-023-00824-0.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","FirstCategoryId":"103","ListUrlMain":"https://link.springer.com/article/10.1007/s40010-023-00824-0","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, problem of estimation of ratio of two population means has been discussed in presence of non-response. A wider two-phase class of estimators has been suggested using ratio and ordinal auxiliary variables under incomplete data due to non-response. Expressions of bias and mean square error of the suggested class of estimators have been derived, and minimum value of mean square error has been obtained under optimum conditions. The properties of the suggested class of estimators have been studied under fixed budget as well as precision. The increase in efficiency of the suggested class of estimators over the relevant estimators has been demonstrated by real data analysis. On the ground of theoretical and empirical studies, it has been explained that suggested class of estimators is efficient than existing conventional estimators.