{"title":"指数型Lomax分布及其性质","authors":"M. Adeleke","doi":"10.7176/mtm/9-1-01","DOIUrl":null,"url":null,"abstract":"This research study the generalization of exponentiated version of Exponential lomax Distribution (ELD) called Exponentiated exponential lomax distribution (EEPD) through its distribution function and mathematical derivation of their moment, reliability, cumulative distribution function, Renyi Entropy and hazard rate function, Median, Quartile and Quantile Function. The distribution was found to generalize some known distributions thereby providing a great flexibility in modeling heavy tailed, skewed and bimodal distributions . Keywords: Exponentiated-exponential Lomax Distribution (EELD), Moment generating function, Hazard Function, Entropy, Median, Quartile, Quantile Function . DOI: 10.7176/MTM/9-1-01","PeriodicalId":394772,"journal":{"name":"Mathematical Theory and Modeling","volume":"33 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Exponentiated Exponential Lomax Distribution and its Properties\",\"authors\":\"M. Adeleke\",\"doi\":\"10.7176/mtm/9-1-01\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This research study the generalization of exponentiated version of Exponential lomax Distribution (ELD) called Exponentiated exponential lomax distribution (EEPD) through its distribution function and mathematical derivation of their moment, reliability, cumulative distribution function, Renyi Entropy and hazard rate function, Median, Quartile and Quantile Function. The distribution was found to generalize some known distributions thereby providing a great flexibility in modeling heavy tailed, skewed and bimodal distributions . Keywords: Exponentiated-exponential Lomax Distribution (EELD), Moment generating function, Hazard Function, Entropy, Median, Quartile, Quantile Function . DOI: 10.7176/MTM/9-1-01\",\"PeriodicalId\":394772,\"journal\":{\"name\":\"Mathematical Theory and Modeling\",\"volume\":\"33 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Theory and Modeling\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7176/mtm/9-1-01\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Theory and Modeling","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7176/mtm/9-1-01","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Exponentiated Exponential Lomax Distribution and its Properties
This research study the generalization of exponentiated version of Exponential lomax Distribution (ELD) called Exponentiated exponential lomax distribution (EEPD) through its distribution function and mathematical derivation of their moment, reliability, cumulative distribution function, Renyi Entropy and hazard rate function, Median, Quartile and Quantile Function. The distribution was found to generalize some known distributions thereby providing a great flexibility in modeling heavy tailed, skewed and bimodal distributions . Keywords: Exponentiated-exponential Lomax Distribution (EELD), Moment generating function, Hazard Function, Entropy, Median, Quartile, Quantile Function . DOI: 10.7176/MTM/9-1-01
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