{"title":"The generalised maximum α entropy principle","authors":"M. S. Tabass, G. M. Borzadran","doi":"10.1504/IJMOR.2018.10009201","DOIUrl":null,"url":null,"abstract":"Generalisations of maximum entropy principle (MEP) and minimum discrimination information principle (MDIP) are described by Kapur and Kesavan (1989) . In this paper, we used generalised entropies and replaced Shannon entropy with Tsallis entropy when α = 2 . The generalisation has been achieved by the entropy maximisation postulate and examining its consequences . The inverse principles which are inherent in the maximum α entropy and minimum discrimination α entropy are made in the new methodology.","PeriodicalId":306451,"journal":{"name":"Int. J. Math. Oper. Res.","volume":"38 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Int. J. Math. Oper. Res.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1504/IJMOR.2018.10009201","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
Generalisations of maximum entropy principle (MEP) and minimum discrimination information principle (MDIP) are described by Kapur and Kesavan (1989) . In this paper, we used generalised entropies and replaced Shannon entropy with Tsallis entropy when α = 2 . The generalisation has been achieved by the entropy maximisation postulate and examining its consequences . The inverse principles which are inherent in the maximum α entropy and minimum discrimination α entropy are made in the new methodology.