{"title":"次线性期望下扩展独立随机变量的完全收敛性","authors":"X. Deng, Xuejun Wang","doi":"10.4134/JKMS.J190093","DOIUrl":null,"url":null,"abstract":". In this paper, we establish complete convergence for sequences of extended independent random variables and arrays of rowwise ex- tended independent random variables under sub-linear expectations in Peng’s framework. The results obtained in this paper extend the corre- sponding ones of Baum and Katz [1] and Hu and Taylor [11] from classical probability space to sub-linear expectation space.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":"57 1","pages":"553-570"},"PeriodicalIF":0.7000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"ON COMPLETE CONVERGENCE FOR EXTENDED INDEPENDENT RANDOM VARIABLES UNDER SUB-LINEAR EXPECTATIONS\",\"authors\":\"X. Deng, Xuejun Wang\",\"doi\":\"10.4134/JKMS.J190093\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper, we establish complete convergence for sequences of extended independent random variables and arrays of rowwise ex- tended independent random variables under sub-linear expectations in Peng’s framework. The results obtained in this paper extend the corre- sponding ones of Baum and Katz [1] and Hu and Taylor [11] from classical probability space to sub-linear expectation space.\",\"PeriodicalId\":49993,\"journal\":{\"name\":\"Journal of the Korean Mathematical Society\",\"volume\":\"57 1\",\"pages\":\"553-570\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2020-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Korean Mathematical Society\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4134/JKMS.J190093\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Korean Mathematical Society","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4134/JKMS.J190093","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
ON COMPLETE CONVERGENCE FOR EXTENDED INDEPENDENT RANDOM VARIABLES UNDER SUB-LINEAR EXPECTATIONS
. In this paper, we establish complete convergence for sequences of extended independent random variables and arrays of rowwise ex- tended independent random variables under sub-linear expectations in Peng’s framework. The results obtained in this paper extend the corre- sponding ones of Baum and Katz [1] and Hu and Taylor [11] from classical probability space to sub-linear expectation space.
期刊介绍:
This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).