{"title":"Nonparametric estimation of quantile versions of the Lorenz curve","authors":"Agnieszka Siedlaczek","doi":"10.14708/MA.V46I1.6372","DOIUrl":null,"url":null,"abstract":"Estimators of quantile versions of the Lorenz curve are proposed. The pointwise consistency and asymptotic normality of the estimators is proved. The efficiency of the estimators is also studied in simulations. 2010 Mathematics Subject Classification: Primary: 62G05; Secondary: 62P10.","PeriodicalId":36622,"journal":{"name":"Mathematica Applicanda","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2018-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica Applicanda","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14708/MA.V46I1.6372","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Decision Sciences","Score":null,"Total":0}
引用次数: 0
Abstract
Estimators of quantile versions of the Lorenz curve are proposed. The pointwise consistency and asymptotic normality of the estimators is proved. The efficiency of the estimators is also studied in simulations. 2010 Mathematics Subject Classification: Primary: 62G05; Secondary: 62P10.