{"title":"Lorenz曲线分位数形式的非参数估计","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":"{\"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}","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}
Nonparametric estimation of quantile versions of the Lorenz curve
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.