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浙江大学学报(理学版)  2019, Vol. 46 Issue (4): 412-415    DOI: 10.3785/j.issn.1008-9497.2019.04.005
数学与计算机科学     
WOD随机变量序列的完全收敛性
章茜, 蔡光辉, 郑钰滟
浙江工商大学 统计与数学学院,浙江 杭州 310018
Complete convergence of WOD random variable sequences.
ZHANG Qian, CAI Guanghui, ZHENG Yuyan
School of Statistics and Mathematics , Zhejiang Gongshang University, Hangzhou 310018, China
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摘要: 应用WOD随机变量序列部分和最大值的Rosenthal型矩不等式,结合三段截尾法,研究了WOD随机变量序列部分和最大值的完全收敛性,所得定理将已有文献的结果推广至部分和最大值的情形。
关键词: WOD随机变量序列完全收敛性Rosenthal型不等式    
Abstract: In this paper, we present a complete convergence result for widely orthant dependent(WOD) random variables by using the maximum Rosenthal's type moment inequality and the truncation methods(into three parts). The results generalize and improve the related known works in the literature.
Key words: WOD random variable sequences    complete convergence    Rosenthal inequality
收稿日期: 2018-04-16 出版日期: 2019-07-25
CLC:  O211.4  
基金资助: 浙江省自然科学基金资助项目(LY17A0003);浙江省一流学科A类项目.
作者简介: 章茜(1984—),ORCID:http//orcid.org/0000-0002-2955-460,女,博士在读,主要从事概率极限理论研究,E-mail:qiwa_007@163.com.
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引用本文:

章茜, 蔡光辉, 郑钰滟. WOD随机变量序列的完全收敛性[J]. 浙江大学学报(理学版), 2019, 46(4): 412-415.

ZHANG Qian, CAI Guanghui, ZHENG Yuyan. Complete convergence of WOD random variable sequences.. Journal of Zhejiang University (Science Edition), 2019, 46(4): 412-415.

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https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2019.04.005        https://www.zjujournals.com/sci/CN/Y2019/V46/I4/412

1 WANGK Y, WANGY B, GAOQ W. Uniform asymptotics for the finite-time ruin probability of a dependent risk model with a constant interest rate[J]. Methodology and Computing in Applied Probability, 2013, 15(1): 109-124.
2 QIUD H, WUQ Y, CHENP Y. Complete convergence for negatively orthant dependent random variables[J]. Journal of Inequalities & Applications, 2014, 2014(1): 1-12.
3 CHENY Q, CHENA Y, NG K W. The strong law of large numbers for extend negatively dependent random variables[J]. Journal of Applied Probability, 2010, 47(4): 908-922.
4 LIW. Complete convergence for weighted sums under END setup[J]. Acta Mathematica Scientia, 2016, 36A(3): 448-455.
5 QIUD H, CHENP Y, XIAOJ. Complete moment convergence for sequences of END random variables[J]. Acta Mathematicae Application Sinica, 2017, 40(3): 436-448.
6 WANGK Y, YANGY, LINJ G. Precise large deviations for widely orthant dependent random variables with dominated varying tails[J]. Frontiers of Mathematics in China, 2012, 7(5): 919-932.
7 SHIS T, WUQ Y. The strong consistency for the kernel-type density in the case of widely orthant dependent samples [J]. Journal of Zhejiang University(Science Edition), 2014, 41(1): 26-28.
8 QIUD H, CHENP Y. Complete and complete moment convergence for weighted sums of widely orthant dependent random variables[J]. Acta Mathematica Sinica (English Series), 2014, 30(9): 1539-1548.
9 CAIG H, PANX Y. Law of iterated logarithm for WOD random variables sequence with different distribution[J]. Applied Mathematics A Journal of Chinese Universities(SerA), 2015, 30(4): 425-431.
10 TAOX R, WUY, XIAH, et al. Complete convergence of moving average process based on widely orthant dependent random variables[J]. Revista De La Real Academia De Ciencias Exactas, Físicas y Naturales(Ser A: Matemáticas), 2017, 111(3): 809-821.
11 LIUX , SHENY, YANGJ, et al. Complete moment convergence of widely orthant dependent random variables[J]. Communication in Statistics-Theory and Methods, 2017, 46(14): 7256-7265.
12 WANGX J, XUC, HUT C, et al. On complete convergence for widely orthant-dependent random variables and its applications in nonparametric regression models[J]. Test, 2014, 23(3): 607-629.
13 DINGY, WUY, WANGX J, et al. Complete convergence for weighted sums of widely orthant dependent random variables[J]. Applied Mathematics A Journal of Chinese Universities(SerA), 2015, 30(4): 417-424.
14 HSU P L, ROBBINSH. Complete convergence and the law of large numbers[J]. Proceedings of the National Academy Science USA, 1947,33(2): 25-31.
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