{"title":"在总体方差估计中更有效地利用辅助信息——一类新的估计器","authors":"Kalim Ullah, Z. Hussain, S. A. Cheema","doi":"10.52700/scir.v2i2.11","DOIUrl":null,"url":null,"abstract":"In this article, we have suggested estimation of variance in finite population by using known values of parameter related to auxiliary information such as rank and second raw moment of auxiliary variable in stratified random sampling. The expression for the bias and mean squared error (MSE) of the suggested estimator are obtained up to first order of approximation. The proposed estimator is efficient comparatively various other estimators. A numerical and theoretical study are performed to support the suggested estimator.","PeriodicalId":117051,"journal":{"name":"STATISTICS, COMPUTING AND INTERDISCIPLINARY RESEARCH","volume":"107 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Using Auxiliary Information More Efficiently in Population Variance Estimation - A New Family of Estimators\",\"authors\":\"Kalim Ullah, Z. Hussain, S. A. Cheema\",\"doi\":\"10.52700/scir.v2i2.11\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we have suggested estimation of variance in finite population by using known values of parameter related to auxiliary information such as rank and second raw moment of auxiliary variable in stratified random sampling. The expression for the bias and mean squared error (MSE) of the suggested estimator are obtained up to first order of approximation. The proposed estimator is efficient comparatively various other estimators. A numerical and theoretical study are performed to support the suggested estimator.\",\"PeriodicalId\":117051,\"journal\":{\"name\":\"STATISTICS, COMPUTING AND INTERDISCIPLINARY RESEARCH\",\"volume\":\"107 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-12-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"STATISTICS, COMPUTING AND INTERDISCIPLINARY RESEARCH\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.52700/scir.v2i2.11\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"STATISTICS, COMPUTING AND INTERDISCIPLINARY RESEARCH","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52700/scir.v2i2.11","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Using Auxiliary Information More Efficiently in Population Variance Estimation - A New Family of Estimators
In this article, we have suggested estimation of variance in finite population by using known values of parameter related to auxiliary information such as rank and second raw moment of auxiliary variable in stratified random sampling. The expression for the bias and mean squared error (MSE) of the suggested estimator are obtained up to first order of approximation. The proposed estimator is efficient comparatively various other estimators. A numerical and theoretical study are performed to support the suggested estimator.