次线性期望空间下完全积分收敛精确渐近性的一般结果

数学物理学报 ›› 2026, Vol. 46 ›› Issue (6): 2305-2316.

次线性期望空间下完全积分收敛精确渐近性的一般结果

费丹丹¹^,², 付宗魁²^,^*()

¹ 信阳学院数学与统计学院河南信阳 464000
² 信阳师范大学数学与统计学院河南信阳 464000

收稿日期:2025-07-16 修回日期:2025-10-10 出版日期:2026-12-26 发布日期:2026-08-14
通讯作者: 付宗魁 E-mail:gut_fuzongkui@163.com
基金资助:
河南省高等学校重点科研项目(25B110025);信阳师范大学博士科研启动基金(32578);信阳师范大学自然科学重大预研项目(5250043)

General Results on Precise Asymptotics for Complete Integral Convergence under Sublinear Expectation Space

Dandan Fei¹^,², Zongkui Fu²^,^*()

¹ School of Mathematics and Statistics, Xinyang University, Henan Xinyang 464000
² School of Mathematics and Statistics, Xinyang Normal University, Henan Xinyang 464000

Received:2025-07-16 Revised:2025-10-10 Online:2026-12-26 Published:2026-08-14
Contact: Zongkui Fu E-mail:gut_fuzongkui@163.com
Supported by:
Key Scientific Research Project of Higher Education Institutions in Henan Province(25B110025);Xinyang Normal University Doctoral Research Startup Fund(32578);Xinyang Normal University Major Pre-research of Natural Sciences(5250043)

摘要/Abstract

摘要：

设 $\{X,X_n;n\geq 1\}$ 是次线性期望空间中的独立同分布随机变量序列, 利用独立序列的收敛性和容度不等式, 证明了其完全积分收敛精确渐近性的一般结果, 改进并推广了已有的结果.

关键词: 次线性期望空间, 精确渐近性, 完全积分收敛.

Abstract:

Let $\{X,X_n;n\geq 1\}$ be a sequence of independent and identically distributed random variables under sublinear expectation space, by using the convergence of independent sequences and the capacity inequality, we establish the general results on precise asymptotics for complete integral convergence, which improve and generalize the existing results.

Key words: sublinear expectation space, precise asymptotics, complete integral convergence

中图分类号:

O211.4

费丹丹, 付宗魁. 次线性期望空间下完全积分收敛精确渐近性的一般结果[J]. 数学物理学报, 2026, 46(6): 2305-2316.

Dandan Fei, Zongkui Fu. General Results on Precise Asymptotics for Complete Integral Convergence under Sublinear Expectation Space[J]. Acta mathematica scientia,Series A, 2026, 46(6): 2305-2316.

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