{"title":"从统计学中产生的和形式泛函方程及其应用","authors":"D. Singh, Shveta Grover","doi":"10.53006/RNA.843040","DOIUrl":null,"url":null,"abstract":"In this paper, we obtain the general solutions of a sum form functional equation arising from the expected value of a discrete random variable. The signi(cid:28)cance of its general solutions in reference to entropies emerging from information theory and diversity index has been discussed.","PeriodicalId":36205,"journal":{"name":"Results in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On a sum form functional equation emerging from statistics and its applications\",\"authors\":\"D. Singh, Shveta Grover\",\"doi\":\"10.53006/RNA.843040\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we obtain the general solutions of a sum form functional equation arising from the expected value of a discrete random variable. The signi(cid:28)cance of its general solutions in reference to entropies emerging from information theory and diversity index has been discussed.\",\"PeriodicalId\":36205,\"journal\":{\"name\":\"Results in Nonlinear Analysis\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Results in Nonlinear Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.53006/RNA.843040\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Results in Nonlinear Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.53006/RNA.843040","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
On a sum form functional equation emerging from statistics and its applications
In this paper, we obtain the general solutions of a sum form functional equation arising from the expected value of a discrete random variable. The signi(cid:28)cance of its general solutions in reference to entropies emerging from information theory and diversity index has been discussed.
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