次线性期望下扩展独立随机变量的完全收敛性

Pub Date : 2020-01-01 DOI:10.4134/JKMS.J190093

X. Deng, Xuejun Wang

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引用次数: 6

摘要

．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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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.

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