{"title":"条件指数-威布尔分布的最大吸引域","authors":"Xiu-Min Li, Cunman Wang, Xia Cai","doi":"10.1145/3274250.3274256","DOIUrl":null,"url":null,"abstract":"In this paper, the maximum domain of attraction of the three-parameter conditional Exponential-Weibull distribution is studied. The conditional Exponential-Weibul distribution is confirmed and proven to belong to the maximum domain of attraction of the Gumbel distribution, and the expressions of the corresponding normalizing constants are derived. Numerical simulations are conducted to investigate the performance of the proposed normalizing constants.","PeriodicalId":410500,"journal":{"name":"Proceedings of the 2018 1st International Conference on Mathematics and Statistics","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Maximum Domain of Attraction of the Conditional Exponential-Weibull Distribution\",\"authors\":\"Xiu-Min Li, Cunman Wang, Xia Cai\",\"doi\":\"10.1145/3274250.3274256\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the maximum domain of attraction of the three-parameter conditional Exponential-Weibull distribution is studied. The conditional Exponential-Weibul distribution is confirmed and proven to belong to the maximum domain of attraction of the Gumbel distribution, and the expressions of the corresponding normalizing constants are derived. Numerical simulations are conducted to investigate the performance of the proposed normalizing constants.\",\"PeriodicalId\":410500,\"journal\":{\"name\":\"Proceedings of the 2018 1st International Conference on Mathematics and Statistics\",\"volume\":\"27 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-07-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 2018 1st International Conference on Mathematics and Statistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/3274250.3274256\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 2018 1st International Conference on Mathematics and Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3274250.3274256","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Maximum Domain of Attraction of the Conditional Exponential-Weibull Distribution
In this paper, the maximum domain of attraction of the three-parameter conditional Exponential-Weibull distribution is studied. The conditional Exponential-Weibul distribution is confirmed and proven to belong to the maximum domain of attraction of the Gumbel distribution, and the expressions of the corresponding normalizing constants are derived. Numerical simulations are conducted to investigate the performance of the proposed normalizing constants.