{"title":"Generalized Regressed Exponential Estimator for Estimation of Mean Under Neutrosophic Ranked Set Sampling","authors":"Bharti Khanna","doi":"10.1007/s40009-024-01412-5","DOIUrl":null,"url":null,"abstract":"<div><p>This manuscript uses neutrosophic ranked set sampling to handle the data involving uncertainty and proposed generalized regressed exponential estimator for estimating the mean under neutrosophic ranked set sampling. The fundamental properties like bias and mean square error of the proposed estimator are calculated up to the first order of approximation. The conditions under which the proposed estimator is better than the promising existing estimators have been derived. Mathematical study has been carried out to support the theoretical results and proved the efficiency of the proposed estimator over the promising existing estimators.</p></div>","PeriodicalId":717,"journal":{"name":"National Academy Science Letters","volume":"47 6","pages":"719 - 725"},"PeriodicalIF":1.2000,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"National Academy Science Letters","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s40009-024-01412-5","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
This manuscript uses neutrosophic ranked set sampling to handle the data involving uncertainty and proposed generalized regressed exponential estimator for estimating the mean under neutrosophic ranked set sampling. The fundamental properties like bias and mean square error of the proposed estimator are calculated up to the first order of approximation. The conditions under which the proposed estimator is better than the promising existing estimators have been derived. Mathematical study has been carried out to support the theoretical results and proved the efficiency of the proposed estimator over the promising existing estimators.
期刊介绍:
The National Academy Science Letters is published by the National Academy of Sciences, India, since 1978. The publication of this unique journal was started with a view to give quick and wide publicity to the innovations in all fields of science