{"title":"双重非中心广义Beta分布","authors":"D. K. Nagar, E. Zarrazola, Yohana Tabares-Herrera","doi":"10.37394/23206.2021.20.4","DOIUrl":null,"url":null,"abstract":"Abstract: The doubly non-central generalized beta type 1 and type 2 distributions have been derived by using two independent non-central gamma variables with different scale parameters. These distributions generalize several well known central and non-central beta distributions. The doubly non-central generalized beta densities are much more flexible than many exiting beta models and can assume a large variety of shapes. Several properties of these distributions have been studied.","PeriodicalId":112268,"journal":{"name":"WSEAS Transactions on Mathematics archive","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Doubly Non-Central Generalized Beta Distributions\",\"authors\":\"D. K. Nagar, E. Zarrazola, Yohana Tabares-Herrera\",\"doi\":\"10.37394/23206.2021.20.4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract: The doubly non-central generalized beta type 1 and type 2 distributions have been derived by using two independent non-central gamma variables with different scale parameters. These distributions generalize several well known central and non-central beta distributions. The doubly non-central generalized beta densities are much more flexible than many exiting beta models and can assume a large variety of shapes. Several properties of these distributions have been studied.\",\"PeriodicalId\":112268,\"journal\":{\"name\":\"WSEAS Transactions on Mathematics archive\",\"volume\":\"24 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-03-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"WSEAS Transactions on Mathematics archive\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37394/23206.2021.20.4\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"WSEAS Transactions on Mathematics archive","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37394/23206.2021.20.4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Abstract: The doubly non-central generalized beta type 1 and type 2 distributions have been derived by using two independent non-central gamma variables with different scale parameters. These distributions generalize several well known central and non-central beta distributions. The doubly non-central generalized beta densities are much more flexible than many exiting beta models and can assume a large variety of shapes. Several properties of these distributions have been studied.