{"title":"基于线性化和u统计方法的基尼系数估计的比较研究","authors":"S. Mirzaei, G. M. Borzadaran, M. Amini","doi":"10.15446/RCE.V40N2.53399","DOIUrl":null,"url":null,"abstract":"In this paper, we consider two well-known methods for analysis of the Gini index, which are U-statistics and linearization for some income distributions. In addition, we evaluate two different methods for some properties of their proposed estimators. Also, we compare two methods with resampling techniques in approximating some properties of the Gini index. A simulation study shows that the linearization method performs 'well' compared to the Gini estimator based on U-statistics. A brief study on real data supports our findings.","PeriodicalId":54477,"journal":{"name":"Revista Colombiana De Estadistica","volume":"57 1","pages":"205-221"},"PeriodicalIF":0.0000,"publicationDate":"2017-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"A Comparative Study of the Gini Coefficient Estimators Based on the Linearization and U-Statistics Methods\",\"authors\":\"S. Mirzaei, G. M. Borzadaran, M. Amini\",\"doi\":\"10.15446/RCE.V40N2.53399\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider two well-known methods for analysis of the Gini index, which are U-statistics and linearization for some income distributions. In addition, we evaluate two different methods for some properties of their proposed estimators. Also, we compare two methods with resampling techniques in approximating some properties of the Gini index. A simulation study shows that the linearization method performs 'well' compared to the Gini estimator based on U-statistics. A brief study on real data supports our findings.\",\"PeriodicalId\":54477,\"journal\":{\"name\":\"Revista Colombiana De Estadistica\",\"volume\":\"57 1\",\"pages\":\"205-221\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Revista Colombiana De Estadistica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15446/RCE.V40N2.53399\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Revista Colombiana De Estadistica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15446/RCE.V40N2.53399","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
A Comparative Study of the Gini Coefficient Estimators Based on the Linearization and U-Statistics Methods
In this paper, we consider two well-known methods for analysis of the Gini index, which are U-statistics and linearization for some income distributions. In addition, we evaluate two different methods for some properties of their proposed estimators. Also, we compare two methods with resampling techniques in approximating some properties of the Gini index. A simulation study shows that the linearization method performs 'well' compared to the Gini estimator based on U-statistics. A brief study on real data supports our findings.
期刊介绍:
The Colombian Journal of Statistics publishes original articles of theoretical, methodological and educational kind in any branch of Statistics. Purely theoretical papers should include illustration of the techniques presented with real data or at least simulation experiments in order to verify the usefulness of the contents presented. Informative articles of high quality methodologies or statistical techniques applied in different fields of knowledge are also considered. Only articles in English language are considered for publication.
The Editorial Committee assumes that the works submitted for evaluation
have not been previously published and are not being given simultaneously for publication elsewhere, and will not be without prior consent of the Committee, unless, as a result of the assessment, decides not publish in the journal. It is further assumed that when the authors deliver a document for publication in the Colombian Journal of Statistics, they know the above conditions and agree with them.