{"title":"双采样中使用变换变量的一类总体均值估计","authors":"Natthapat Thongsak, Nuanpan Lawson","doi":"10.35378/gujs.1056453","DOIUrl":null,"url":null,"abstract":"Transformation techniques have been used to increase the efficiency of estimators in sample surveys. In this paper, some classes of population mean estimators using transformation on an auxiliary variable and on both the auxiliary and study variables have been proposed under double sampling. We obtain the biases and mean square errors of the proposed estimators up to the first order of approximation. A simulation study and application to a rubber production dataset have been used to illustrate the performance of the proposed estimators. The results show that the proposed estimators perform much better than other existing estimators under given conditions.","PeriodicalId":12615,"journal":{"name":"gazi university journal of science","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2022-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Classes of Population Mean Estimators using Transformed Variables in Double Sampling\",\"authors\":\"Natthapat Thongsak, Nuanpan Lawson\",\"doi\":\"10.35378/gujs.1056453\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Transformation techniques have been used to increase the efficiency of estimators in sample surveys. In this paper, some classes of population mean estimators using transformation on an auxiliary variable and on both the auxiliary and study variables have been proposed under double sampling. We obtain the biases and mean square errors of the proposed estimators up to the first order of approximation. A simulation study and application to a rubber production dataset have been used to illustrate the performance of the proposed estimators. The results show that the proposed estimators perform much better than other existing estimators under given conditions.\",\"PeriodicalId\":12615,\"journal\":{\"name\":\"gazi university journal of science\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2022-09-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"gazi university journal of science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.35378/gujs.1056453\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"gazi university journal of science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.35378/gujs.1056453","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
Classes of Population Mean Estimators using Transformed Variables in Double Sampling
Transformation techniques have been used to increase the efficiency of estimators in sample surveys. In this paper, some classes of population mean estimators using transformation on an auxiliary variable and on both the auxiliary and study variables have been proposed under double sampling. We obtain the biases and mean square errors of the proposed estimators up to the first order of approximation. A simulation study and application to a rubber production dataset have been used to illustrate the performance of the proposed estimators. The results show that the proposed estimators perform much better than other existing estimators under given conditions.
期刊介绍:
The scope of the “Gazi University Journal of Science” comprises such as original research on all aspects of basic science, engineering and technology. Original research results, scientific reviews and short communication notes in various fields of science and technology are considered for publication. The publication language of the journal is English. Manuscripts previously published in another journal are not accepted. Manuscripts with a suitable balance of practice and theory are preferred. A review article is expected to give in-depth information and satisfying evaluation of a specific scientific or technologic subject, supported with an extensive list of sources. Short communication notes prepared by researchers who would like to share the first outcomes of their on-going, original research work are welcome.