{"title":"关于贴现复合依存续期和的递归联合矩的说明","authors":"Franck Adékambi, Kokou Essiomle","doi":"10.3233/rda-231522","DOIUrl":null,"url":null,"abstract":"In this paper, we present recursive joint moments and a linear predictor of aggregate discounted claims under dependency for an ordinary or delayed renewal claims number process. In addition, we present recursive formulas for the joint moments in the trend renewal process. We compare the predictive value of our linear predictor with the simulated value of exponential and Erlang (2,2) claims inter-occurrence times with constant interest rate.","PeriodicalId":38805,"journal":{"name":"Risk and Decision Analysis","volume":"39 51","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A note on the recursive joint moments of discounted compound dependent renewal sums\",\"authors\":\"Franck Adékambi, Kokou Essiomle\",\"doi\":\"10.3233/rda-231522\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we present recursive joint moments and a linear predictor of aggregate discounted claims under dependency for an ordinary or delayed renewal claims number process. In addition, we present recursive formulas for the joint moments in the trend renewal process. We compare the predictive value of our linear predictor with the simulated value of exponential and Erlang (2,2) claims inter-occurrence times with constant interest rate.\",\"PeriodicalId\":38805,\"journal\":{\"name\":\"Risk and Decision Analysis\",\"volume\":\"39 51\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-12-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Risk and Decision Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3233/rda-231522\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Economics, Econometrics and Finance\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Risk and Decision Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3233/rda-231522","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Economics, Econometrics and Finance","Score":null,"Total":0}
A note on the recursive joint moments of discounted compound dependent renewal sums
In this paper, we present recursive joint moments and a linear predictor of aggregate discounted claims under dependency for an ordinary or delayed renewal claims number process. In addition, we present recursive formulas for the joint moments in the trend renewal process. We compare the predictive value of our linear predictor with the simulated value of exponential and Erlang (2,2) claims inter-occurrence times with constant interest rate.