{"title":"累积熵与收益分析","authors":"N. Nair, B. Vineshkumar","doi":"10.1515/eqc-2022-0012","DOIUrl":null,"url":null,"abstract":"Abstract In the present work, we investigate the applications of cumulative entropy as a tool in income analysis. The relationships the cumulative entropy has with income gap ratio, Lorenz curve, Gini index, Bonferroni curve and Zenga curve are provided. Applications of the results to real data are illustrated.","PeriodicalId":37499,"journal":{"name":"Stochastics and Quality Control","volume":"24 1","pages":"165 - 179"},"PeriodicalIF":0.0000,"publicationDate":"2022-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Cumulative Entropy and Income Analysis\",\"authors\":\"N. Nair, B. Vineshkumar\",\"doi\":\"10.1515/eqc-2022-0012\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In the present work, we investigate the applications of cumulative entropy as a tool in income analysis. The relationships the cumulative entropy has with income gap ratio, Lorenz curve, Gini index, Bonferroni curve and Zenga curve are provided. Applications of the results to real data are illustrated.\",\"PeriodicalId\":37499,\"journal\":{\"name\":\"Stochastics and Quality Control\",\"volume\":\"24 1\",\"pages\":\"165 - 179\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-08-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Stochastics and Quality Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/eqc-2022-0012\",\"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":"Stochastics and Quality Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/eqc-2022-0012","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
Abstract In the present work, we investigate the applications of cumulative entropy as a tool in income analysis. The relationships the cumulative entropy has with income gap ratio, Lorenz curve, Gini index, Bonferroni curve and Zenga curve are provided. Applications of the results to real data are illustrated.