{"title":"后分层条件下基于补充变量的有限总体均值有效预测估计","authors":"M. Shah, S. Rizvi, Manish Sharma, M. Jeelani","doi":"10.46939/j.sci.arts-23.2-a16","DOIUrl":null,"url":null,"abstract":"In the current investigation, we have developed the efficient predictive estimator for finite population mean using auxiliary variable in case of post stratification. Up to the first order of approximation, the expressions for bias and mean square error (MSE) are derived for the proposed estimator. This also reveals the constant’s ideal value, which reduces the MSE of the developed estimator. The developed estimator performs better than the existing estimators.Numerical study is also carried out by using the real data sets.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"EFFICIENT PREDICTIVE ESTIMATOR FOR FINITE POPULATION MEAN USING SUPPLEMENTARY VARIABLE UNDER POST STRATIFICATION\",\"authors\":\"M. Shah, S. Rizvi, Manish Sharma, M. Jeelani\",\"doi\":\"10.46939/j.sci.arts-23.2-a16\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the current investigation, we have developed the efficient predictive estimator for finite population mean using auxiliary variable in case of post stratification. Up to the first order of approximation, the expressions for bias and mean square error (MSE) are derived for the proposed estimator. This also reveals the constant’s ideal value, which reduces the MSE of the developed estimator. The developed estimator performs better than the existing estimators.Numerical study is also carried out by using the real data sets.\",\"PeriodicalId\":54169,\"journal\":{\"name\":\"Journal of Science and Arts\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2023-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Science and Arts\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46939/j.sci.arts-23.2-a16\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Science and Arts","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46939/j.sci.arts-23.2-a16","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
EFFICIENT PREDICTIVE ESTIMATOR FOR FINITE POPULATION MEAN USING SUPPLEMENTARY VARIABLE UNDER POST STRATIFICATION
In the current investigation, we have developed the efficient predictive estimator for finite population mean using auxiliary variable in case of post stratification. Up to the first order of approximation, the expressions for bias and mean square error (MSE) are derived for the proposed estimator. This also reveals the constant’s ideal value, which reduces the MSE of the developed estimator. The developed estimator performs better than the existing estimators.Numerical study is also carried out by using the real data sets.
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