{"title":"Heuristical Approach for Optimizing Population Mean Using Ratio Estimator in Stratified Random Sampling","authors":"G. Triveni, Faizan Danish","doi":"10.13052/jrss0974-8024.1617","DOIUrl":null,"url":null,"abstract":"In this study, we have developed a Ratio type estimator in Stratified sampling to estimate the population average of study variable by using the information of a concomitant variable. By utilizing Taylor’s series, we have derived the expressions for Bias and MSE upto first degree of approximation. In numerical illustration, employing a real data set, we have demonstrated that the proposed estimator has highest Percentage relative efficiency when compared to the considered existing estimatrs. Furthermore, we have demonstrated that Separate ratio type estimators have the highest relative efficiency when contrasted with the Combined ratio type estimators.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":"18 2","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Reliability and Statistical Studies","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.13052/jrss0974-8024.1617","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
引用次数: 0
Abstract
In this study, we have developed a Ratio type estimator in Stratified sampling to estimate the population average of study variable by using the information of a concomitant variable. By utilizing Taylor’s series, we have derived the expressions for Bias and MSE upto first degree of approximation. In numerical illustration, employing a real data set, we have demonstrated that the proposed estimator has highest Percentage relative efficiency when compared to the considered existing estimatrs. Furthermore, we have demonstrated that Separate ratio type estimators have the highest relative efficiency when contrasted with the Combined ratio type estimators.