END随机变量序列Sung型加权和的矩完全收敛性

Abstract

CLC Number:

O211.4

Dehua Qiu, Juan Xiao. Complete Moment Convergence for Sung's Type Weighted Sums Under END Setup[J].Acta mathematica scientia,Series A, 2018, 38(6): 1103-1111.

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References 19

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[1]	Zhihua Zhang,Pingyan Chen. Complete Convergence for Weighted Sums for $φ$-Mixing Random Variables [J]. Acta mathematica scientia,Series A, 2018, 38(6): 1095-1102.
[2]	Fu Zongkui, Wu Qunying. A General Result of Precise Asymptotics in Complete Moment Convergence for ρ-mixing Sequence [J]. Acta mathematica scientia,Series A, 2017, 37(3): 544-552.
[3]	Qiu Dehua, Duan Zhenghua. Complete Moment Convergence for Weighted Sums of ρ-Mixing Random Variable Sequences [J]. Acta mathematica scientia,Series A, 2017, 37(2): 265-277.
[4]	Li Wei. Complete Convergence for Weighted Sums Under END Setup [J]. Acta mathematica scientia,Series A, 2016, 36(3): 448-455.
[5]	Qiu Dehua, Chen Pingyan. large Convergence for Moving Average Processes Under END Set-up [J]. Acta mathematica scientia,Series A, 2015, 35(4): 756-768.
[6]	Li Wei. Complete Convergence for Sung's Type Weighted Sums Under NOD Setup [J]. Acta mathematica scientia,Series A, 2015, 35(4): 729-737.
[7]	WAN Cheng-Gao. The Limit Theorems for Function of Markov Chains in Random Environments [J]. Acta mathematica scientia,Series A, 2015, 35(1): 163-171.
[8]	WU Yong-Feng. L_p Convergence and Complete Moment Convergence for Sequences of Pairwise NQD Random Variables [J]. Acta mathematica scientia,Series A, 2013, 33(5): 850-859.
[9]	CHEN Ping-Yan, LI Yuan-Mei. Limiting Behavior of Moving Average Processes of Martingale Difference Sequences [J]. Acta mathematica scientia,Series A, 2011, 31(1): 179-187.
[10]	QIU De-Hua. Convergence Properties for Weighted Sums of ρ -mixing Random Variables [J]. Acta mathematica scientia,Series A, 2011, 31(1): 132-141.
[11]	ZHANG Yong, DONG Zhi-Shan, ZHAO Shi-Shun. An Almost Sure Central Limit Theorem for Weighted Sums under Association [J]. Acta mathematica scientia,Series A, 2009, 29(6): 1487-1491.
[12]	Gan Shixin;Chen Pingyan. Strong Convergence Rate of Weighted Sums for NOD Sequences [J]. Acta mathematica scientia,Series A, 2008, 28(2): 283-290.

Complete Moment Convergence for Sung's Type Weighted Sums Under END Setup

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