{"title":"一种新的fracimchet分布的推广:性质与应用","authors":"Jayakumar Kuttan Pillai, Girish Babu Moolath","doi":"10.6092/ISSN.1973-2201/8462","DOIUrl":null,"url":null,"abstract":"A new generalization of the Frechet distribution is introduced and studied. Its structural properties including the quantile function, random number generation, moments, moment generating function and order statistics are investigated. The unknown parameters of the model are estimated using maximum likelihood estimation method and a simulation study is carried out to check the performance of the method. The new model is applied to a real data set to prove empirically its flexibility.","PeriodicalId":45117,"journal":{"name":"Statistica","volume":"79 1","pages":"267-289"},"PeriodicalIF":1.6000,"publicationDate":"2019-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A New Generalization of the Fréchet Distribution: Properties and Application\",\"authors\":\"Jayakumar Kuttan Pillai, Girish Babu Moolath\",\"doi\":\"10.6092/ISSN.1973-2201/8462\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A new generalization of the Frechet distribution is introduced and studied. Its structural properties including the quantile function, random number generation, moments, moment generating function and order statistics are investigated. The unknown parameters of the model are estimated using maximum likelihood estimation method and a simulation study is carried out to check the performance of the method. The new model is applied to a real data set to prove empirically its flexibility.\",\"PeriodicalId\":45117,\"journal\":{\"name\":\"Statistica\",\"volume\":\"79 1\",\"pages\":\"267-289\"},\"PeriodicalIF\":1.6000,\"publicationDate\":\"2019-11-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Statistica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.6092/ISSN.1973-2201/8462\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"STATISTICS & PROBABILITY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Statistica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.6092/ISSN.1973-2201/8462","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
A New Generalization of the Fréchet Distribution: Properties and Application
A new generalization of the Frechet distribution is introduced and studied. Its structural properties including the quantile function, random number generation, moments, moment generating function and order statistics are investigated. The unknown parameters of the model are estimated using maximum likelihood estimation method and a simulation study is carried out to check the performance of the method. The new model is applied to a real data set to prove empirically its flexibility.
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