{"title":"基于分段线性先验的半参数可信度决策","authors":"Jifu Nong","doi":"10.1109/CSO.2011.237","DOIUrl":null,"url":null,"abstract":"A practical estimate on the credibility formula is presented, where a piecewise linear function is taken as the approximation of the prior distribution and applied to the credibility theory. The convergence of the approximation is analyzed. Simulation results for the lognormal-lognormal mixture show the effectiveness of the proposed estimate on the credibility.","PeriodicalId":210815,"journal":{"name":"2011 Fourth International Joint Conference on Computational Sciences and Optimization","volume":"57 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Semiparametric Credibility Ratemaking Using a Piecewise Linear Prior\",\"authors\":\"Jifu Nong\",\"doi\":\"10.1109/CSO.2011.237\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A practical estimate on the credibility formula is presented, where a piecewise linear function is taken as the approximation of the prior distribution and applied to the credibility theory. The convergence of the approximation is analyzed. Simulation results for the lognormal-lognormal mixture show the effectiveness of the proposed estimate on the credibility.\",\"PeriodicalId\":210815,\"journal\":{\"name\":\"2011 Fourth International Joint Conference on Computational Sciences and Optimization\",\"volume\":\"57 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-04-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 Fourth International Joint Conference on Computational Sciences and Optimization\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CSO.2011.237\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 Fourth International Joint Conference on Computational Sciences and Optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CSO.2011.237","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Semiparametric Credibility Ratemaking Using a Piecewise Linear Prior
A practical estimate on the credibility formula is presented, where a piecewise linear function is taken as the approximation of the prior distribution and applied to the credibility theory. The convergence of the approximation is analyzed. Simulation results for the lognormal-lognormal mixture show the effectiveness of the proposed estimate on the credibility.