{"title":"Gompertz分布与截断Gompertz分布熵测度的比较","authors":"Muhammad Ahsan ul Haq, Muhammad Aslam","doi":"10.1007/s40010-022-00797-6","DOIUrl":null,"url":null,"abstract":"<div><p>In this study, we have derived entropy measures for Gompertz distribution and truncated Gompertz distribution. We consider nine entropy measures to compute the relative loss of entropy when the underlying probability distribution is truncated Gompertz distribution instead of the Gompertz distribution. The numerical comparisons of relative loss in entropy are made to establish which entropy measure has advantages over the other.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2022-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40010-022-00797-6.pdf","citationCount":"0","resultStr":"{\"title\":\"Comparison of Entropy Measures for Gompertz and Truncated Gompertz Distribution\",\"authors\":\"Muhammad Ahsan ul Haq, Muhammad Aslam\",\"doi\":\"10.1007/s40010-022-00797-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this study, we have derived entropy measures for Gompertz distribution and truncated Gompertz distribution. We consider nine entropy measures to compute the relative loss of entropy when the underlying probability distribution is truncated Gompertz distribution instead of the Gompertz distribution. The numerical comparisons of relative loss in entropy are made to establish which entropy measure has advantages over the other.</p></div>\",\"PeriodicalId\":744,\"journal\":{\"name\":\"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2022-09-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s40010-022-00797-6.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences\",\"FirstCategoryId\":\"103\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40010-022-00797-6\",\"RegionNum\":4,\"RegionCategory\":\"综合性期刊\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","FirstCategoryId":"103","ListUrlMain":"https://link.springer.com/article/10.1007/s40010-022-00797-6","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
Comparison of Entropy Measures for Gompertz and Truncated Gompertz Distribution
In this study, we have derived entropy measures for Gompertz distribution and truncated Gompertz distribution. We consider nine entropy measures to compute the relative loss of entropy when the underlying probability distribution is truncated Gompertz distribution instead of the Gompertz distribution. The numerical comparisons of relative loss in entropy are made to establish which entropy measure has advantages over the other.
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