行ALNQD阵列加权和最大值的完全收敛性

Sept. 22, 2025
Home
About us
Editorial Office
Editorial Board
Subscription
- Aims And Scopes
- Subscription
Contact us
Chinese

Journal of Jilin University Science Edition

Previous Articles Next Articles

Complete Convergence for Maximum ofWeighted Sums of Arrays of Rowwise ALNQD

LU Dongmei¹, GAO Ruimei²

1. College of Optical and Electronical Information, Changchun University of Science and Technology, Changchun130022, China; 2. College of Science, Changchun University of Science and Technology, Changchun 130022, China

Received:2016-03-31 Online:2016-11-26 Published:2016-11-29
Contact: LU Dongmei E-mail:loverpotato@163.com

Abstract

Abstract: We obtained a complete convergence theorem for maximum of weighted sums of arrays of rowwise asymptotically linear negative quadrant dependent (ALNQD) by using the moment inequalities for maximum of ALNQD sequences, and proved a MarcinkiewiczZygmund type strong law of large numbers for maximum of weighted sums of ALNQD sequences by using the proposed theorem.

Key words: weighted sum, complete convergence, arrays of rowwise ALNQD, MarcinkiewiczZygmund type strong law of large number

CLC Number:

O211.4

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.

[1]	HU Xueping, WANG Liuliu, YANG Rui. Convergence Properties for Maximum Weighted Sums of NSD Random Arrays [J]. Journal of Jilin University Science Edition, 2021, 59(5): 1101-1106.
[2]	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.
[3]	LI Jie, WU Qunying. Complete Convergence and Complete Integral Convergence ofNegatively Dependent Sequences under Sublinear Expectations#br# [J]. Journal of Jilin University Science Edition, 2019, 57(2): 305-310.
[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]	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.
[6]	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.
[7]	HU Xueping, WANG Cuiyun. Complete Convergence and Strong Convergence Propertiesfor END Random Sequences [J]. Journal of Jilin University Science Edition, 2015, 53(06): 1139-1144.
[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]	LAN Chong-Feng, TUN Qun-Yang. Complete Convergence Property for Sum of Partial Sums of I.I.D.Random Variables [J]. J4, 2012, 50(03): 507-.
[11]	LIU Dong-Mei, YANG Jin-Yang. Limit Theorem for Weighted Sums of Linear ProcessesGenerated by Mixing Sequences [J]. J4, 2012, 50(03): 421-.
[12]	XIA Baofei, WU Qunying, GUO Jin. Moment Complete Convergence for Partial Sums ofArrays 〖AKρ~D〗 Rowwise Mixing Random Variables Sequence [J]. J4, 2012, 50(01): 77-80.
[13]	HU Xueping, LI Huibao. Some Convergence Properties for Weighted Sum ofMixing Random Arrays [J]. J4, 2012, 50(01): 49-53.
[14]	LIU Jun. lmost Sure Central Limit Theorem for Weighted Sumsunder α-Weak Dependence [J]. J4, 2011, 49(01): 79-81.
[15]	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.

Complete Convergence for Maximum ofWeighted Sums of Arrays of Rowwise ALNQD

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 10