吉林大学学报(理学版)2025,Vol.63Issue(4):1032-1038,7.DOI:10.13413/j.cnki.jdxblxb.2024490
次线性期望下的END序列加权和的强极限定理
Strong Limit Theorems for Weighted Sums of END Sequence under Sub-linear Expectations
摘要
Abstract
By using the definition of sub-linear expectation and corresponding inequalities,we gave the strong limit theorems for weighted sums of END sequence under sub-linear expectations,and further studied the Marcinkiewicz-Zygmund type strong law of large numbers and Strassen-type invariance principle.关键词
强极限定理/加权和/END序列/次线性期望Key words
strong limit theorem/weighted sum/END sequence/sub-linear expectation分类
数理科学引用本文复制引用
咸巍,尤天舒..次线性期望下的END序列加权和的强极限定理[J].吉林大学学报(理学版),2025,63(4):1032-1038,7.基金项目
吉林省自然科学基金(批准号:20240101340JC). (批准号:20240101340JC)