次线性期望下的END序列加权和的强极限定理

Journal of Jilin University Science Edition ›› 2025, Vol. 63 ›› Issue (4): 1032-1038.

Previous Articles Next Articles

Strong Limit Theorems for Weighted Sums of END Sequence under Sub-linear Expectations

XIAN Wei¹, YOU Tianshu²

1. School of Mathematics and Statistics, Changchun University of Science and Technology, Changchun 130022, China;
2. School of Electrical and Computer Engineering, Jilin Jianzhu University, Changchun 130119, China

Received:2024-12-05 Online:2025-07-26 Published:2025-07-26

Abstract

CLC Number:

O211.4

XIAN Wei, YOU Tianshu. Strong Limit Theorems for Weighted Sums of END Sequence under Sub-linear Expectations[J].Journal of Jilin University Science Edition, 2025, 63(4): 1032-1038.

[1]	TAN Xili, DONG He, SUN Peiyu, ZHANG Yong. Almost Sure Convergence of Weighted Sums for m-END Sequences under Sub-linear Expectations [J]. Journal of Jilin University Science Edition, 2023, 61(5): 1073-1082.
[2]	LIU Lunyi, WU Qunying. Almost Sure Convergence of Jamison Type Weighted Sums of END Sequence in Sub-linear Expectation Space [J]. Journal of Jilin University Science Edition, 2023, 61(4): 808-814.
[3]	HU Rong, WU Qunying. Almost Sure Convergence of Weighted Sums for END Sequences in Sub-linear Expectation Spaces [J]. Journal of Jilin University Science Edition, 2021, 59(3): 531-536.
[4]	LIU Yinping, HAO Guanjie. Complete Convergence for Maximum of Weighted Sumsof Rowwise (α,β) Mixing Arrays [J]. Journal of Jilin University Science Edition, 2017, 55(05): 1158-1162.
[5]	LU Dongmei, GAO Ruimei. Complete Convergence for Maximum ofWeighted Sums of Arrays of Rowwise ALNQD [J]. Journal of Jilin University Science Edition, 2016, 54(06): 1323-1327.
[6]	WANG Yao, HUANG Haiwu. Convergence Properties of Weighted Sums for φMixing Random Variables Arrays [J]. Journal of Jilin University Science Edition, 2016, 54(04): 779-784.
[7]	LAN Chongfeng. Complete Convergence for Weighted Sums of a Class of Random Variables [J]. Journal of Jilin University Science Edition, 2016, 54(03): 493-498.
[8]	WANG Yao, HUANG Haiwu. Strong Limit Convergence Properties for Weighted Sums of φ-Mixing Sequences with Non\\|identical Distribution [J]. Journal of Jilin University Science Edition, 2015, 53(05): 939-942.
[9]	HU Zhicai, JIA Xiuli, WANG Zhenhua. Complete Convergence for Weighted Sums of Arraysof Rowwise ρ-Mixing Random Variables [J]. Journal of Jilin University Science Edition, 2014, 52(01): 51-55.
[10]	LIU Dong-Mei, YANG Jin-Yang. Limit Theorem for Weighted Sums of Linear ProcessesGenerated by Mixing Sequences [J]. J4, 2012, 50(03): 421-.
[11]	LIU Jun. lmost Sure Central Limit Theorem for Weighted Sumsunder α-Weak Dependence [J]. J4, 2011, 49(01): 79-81.
[12]	FU Yan-Chi, TUN Qun-Yang. Consistency of Weighted Sums for Sequence of NA IdenticallyDistributed \|Random Variables [J]. J4, 2010, 48(1): 57-62.
[13]	LIU Ying, ZHANG Yong, DONG Zhishan，. Central Limit Theorem for Self-normalized Weighted Sumsof φ-Mixing Sequences [J]. J4, 2008, 46(04): 643-648.
[14]	LIU Jiding, JIANG Shihong, GUO Guangyao, LOU Liantang. Euler Strong Law of Large Numbers for Empirical Processes [J]. J4, 2007, 45(06): 899-902.

Strong Limit Theorems for Weighted Sums of END Sequence under Sub-linear Expectations

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 14

Metrics

Comments

Recommended 0