次线性期望空间下END序列加权和的完全收敛性

doi:10.6040/j.issn.1671-9352.0.2021.780

《山东大学学报(理学版)》 ›› 2022, Vol. 57 ›› Issue (10): 79-87.doi: 10.6040/j.issn.1671-9352.0.2021.780

• • 上一篇

次线性期望空间下END序列加权和的完全收敛性

嘉程程,吴群英^*

桂林理工大学理学院, 广西桂林 541004

发布日期:2022-10-06
作者简介:嘉程程(1996— ),女,硕士研究生,研究方向为概率极限理论. E-mail:2230060530@qq.com*通信作者简介:吴群英(1961— ),女,博士,教授,研究方向为概率极限理论. E-mail:wqy666@glut.edu.cn
基金资助:
国家自然科学基金资助项目(12061028)

Complete convergence of weighted sums for END sequence under sub-linear expectation space

JIA Cheng-cheng, WU Qun-ying^*

College of Science, Guilin University of Technology, Guilin 541004, Guangxi, China

Published:2022-10-06

摘要/Abstract

摘要： 以次线性期望空间下的指数不等式为研究工具,在1/α+1/β=1/p, C_(-overV)(|X|^rp)<∞的条件下,根据此指数不等式,将传统概率空间中随机变量序列加权和的完全收敛性,推至次线性期望空间。

关键词: 次线性期望空间, 完全收敛性, END序列

Abstract: Using the exponential inequality in the sub-linear expectation space as a research tool, under the condition of 1/α+1/β=1/p, C_(-overV)(|X|^rp)<∞, according to this exponential inequality, the complete convergence of the weighted sum of random variable sequences in the traditional probability space is extended to the sublinear expectation space.

Key words: sub-linear expectation space, complete convergence, END sequence

中图分类号:

O211.4

嘉程程,吴群英. 次线性期望空间下END序列加权和的完全收敛性[J]. 《山东大学学报(理学版)》, 2022, 57(10): 79-87.

JIA Cheng-cheng, WU Qun-ying. Complete convergence of weighted sums for END sequence under sub-linear expectation space[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2022, 57(10): 79-87.

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次线性期望空间下END序列加权和的完全收敛性

Complete convergence of weighted sums for END sequence under sub-linear expectation space

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