由NSD序列生成线性过程的中心极限定理

Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (2): 300-304.

Previous Articles Next Articles

Central Limit Theorem for Linear ProcessesGenerated by NSD Sequences#br#

LI Jingyu, ZHANG Yong

College of Mathematics, Jilin University, Changchun 130012, China

Received:2018-09-14 Online:2019-03-26 Published:2019-03-26
Contact: ZHANG Yong E-mail:zyong2661@jlu.edu.cn

Abstract

CLC Number:

O211.4

LI Jingyu, ZHANG Yong. Central Limit Theorem for Linear ProcessesGenerated by NSD Sequences#br#[J].Journal of Jilin University Science Edition, 2019, 57(2): 300-304.

[1]	ZHANG Bingbing, WU Qunying. Complete Integral Convergence of Dependent Linear Process with Random Coefficients under Sublinear Expectations [J]. Journal of Jilin University Science Edition, 2021, 59(2): 271-278.
[2]	HUANG Hui, LU Dongmei, HU Tao. Chover’s Law of Iterated Logarithm for NSD Sequen [J]. Journal of Jilin University Science Edition, 2018, 56(5): 1113-1118.
[3]	GUAN Lihong, LI Yinghong. A Note on Almost Sure Central Limit Theorems for Random Sequences [J]. Journal of Jilin University Science Edition, 2018, 56(2): 306-310.
[4]	LI Yuan, XU Feng. Note on Almost Sure Central Limit Theorem forProduct of Partial Sums of ρ^--Mixing Sequences [J]. Journal of Jilin University Science Edition, 2016, 54(04): 785-789.
[5]	ZOU Guangyu. Precise Asymptotics in Complete Moment Convergence for Linear Process of α-Mixing Sequences [J]. Journal of Jilin University Science Edition, 2014, 52(06): 1186-1190.
[6]	JU An-Yu, ZHANG Yong. Almost Sure Central Limit Theorem for Products ofSums of Partial Sums for ρ^-Mixing Sequences [J]. J4, 2012, 50(06): 1129-1134.
[7]	LIU Dong-Mei, YANG Jin-Yang. Limit Theorem for Weighted Sums of Linear ProcessesGenerated by Mixing Sequences [J]. J4, 2012, 50(03): 421-.
[8]	XIE Da-Xiang, TUN Qun-Yang. Popularization of Almost Sure Central Limit Theoremof Sequence of Random Element [J]. J4, 2011, 49(02): 251-254.
[9]	TAN Xili,, YANG Xiaoyun. Precise Asymptotics for the Partial Sum of Linear Processes of LPQD Sequences [J]. J4, 2009, 47(02): 251-256.
[10]	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.
[11]	LIU Jun, DONG Zhishan,, ZHANG Yong. A General Result on Precise Asymptotics for the Linear Process Generated by Strong Mixing Sequences [J]. J4, 2008, 46(04): 595-600.
[12]	ZHANG Yong, YANG Xiaoyun, DONG Zhishan. Precise Asymptotics of Law of Iterated Logarithm for Linear Process Generated by Strong Mixing Sequences [J]. J4, 2007, 45(03): 325-330.
[13]	HAN Yu, YANG Xiao-yun, DONG Zhi-shan. A Functional Central Limit Theorem for the Random Sum of Linear Process of Martingale Differences [J]. J4, 2005, 43(06): 716-724.

Central Limit Theorem for Linear ProcessesGenerated by NSD Sequences#br#

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 13

Metrics

Comments

Recommended 10