ON COMPLETE CONVERGENCE FOR EXTENDED INDEPENDENT RANDOM VARIABLES UNDER SUB-LINEAR EXPECTATIONS

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI:10.4134/JKMS.J190093

X. Deng, Xuejun Wang

引用次数: 6

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.

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次线性期望下扩展独立随机变量的完全收敛性

．在Peng的框架下，我们建立了次线性期望下扩展独立随机变量序列和行扩展独立随机变量数组的完全收敛性。本文所得结果将Baum和Katz[1]以及Hu和Taylor[11]的相应结果从经典概率空间推广到次线性期望空间。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Korean Mathematical Society 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

6-12 weeks

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).