Acta mathematica scientia,Series A ›› 2019, Vol. 39 ›› Issue (5): 1183-1191.
Previous Articles Next Articles
Complete Convergence and Complete Moment Convergence for WOD Random Variables Sequences
Qian Zhang(
),Guanghui Cai*()
- College of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018
-
Received:2018-06-07Online:2019-10-26Published:2019-11-08 -
Contact:Guanghui Cai E-mail:qiwa_007@163.com;cghzju@163.com -
Supported by:the Natural Science Foundation of Zhejiang Province(LY17A010003);the First Class Discipline of Zhejiang-A(浙江工商大学统计学)
CLC Number:
- O211.4
Cite this article
Qian Zhang,Guanghui Cai. Complete Convergence and Complete Moment Convergence for WOD Random Variables Sequences[J].Acta mathematica scientia,Series A, 2019, 39(5): 1183-1191.
share this article
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
| 1 |
Hus P L , Robbins H . Complete convergence and the law of large numbers. Proc Natl Acad Sci USA, 1947, 33: 25- 31
doi: 10.1073/pnas.33.2.25 |
| 2 | Chow Y . On the rate of moment convergence of sample sums and extremes. Bull Inst Math Acad Sin, 1988, 16: 177- 201 |
| 3 |
Wang K Y , Wang Y B , Gao Q W . Uniform asymptotics for the finite-time ruin probability of a new dependent risk model with a constant interest rate. Meth Comp Appl Prob, 2013, 15: 109- 124
doi: 10.1007/s11009-011-9226-y |
| 4 |
Gut A , Stadtüller U . An intermediate Baum-Katz theorem. Stat Probab Lett, 2011, 81: 1486- 1492
doi: 10.1016/j.spl.2011.05.008 |
| 5 |
Chen P Y , Sung H S . A Baum-Katz theorem for i.i.d. random variables with higher order moments. Stat Probab Lett, 2014, 94: 63- 68
doi: 10.1016/j.spl.2014.07.005 |
| 6 | Qiu D H , Chen P Y . Complete moment convergence for i.i.d. random variables. Stat Probab Lett, 2014, 91 (1): 76- 82 |
| 7 |
Wang X J , Hu T C , Volodin A , et al. Complete convergence for weighted wums and arrays of rowwise extended negatively dependent random variables. Commun in Stat, 2013, 42 (13): 2391- 2401
doi: 10.1080/03610926.2011.609321 |
| 8 | Wang X J , Shen A T , Chen Z Y , Hu S H . Complete convergence for weighted sums of NSD random variables and its application in the EV regression model. Test, 2015, 24 (1): 166- 184 |
| 9 | Wu Q Y , Jiang Y Y . Complete convergence and complete moment convergence for negatively associated sequences random variables. J Inequal Appl, 2014, 1: 1- 10 |
| 10 |
李炜. END序列加权和的完全收敛性. 数学物理学报, 2016, 36A (3): 448- 455
doi: 10.3969/j.issn.1003-3998.2016.03.006 |
|
Li W . Complete convergence for weighted sums under END setup. Acta Math Sci, 2016, 36A (3): 448- 455
doi: 10.3969/j.issn.1003-3998.2016.03.006 |
|
| 11 | Qiu D H , Wu Q Y , Chen P Y . Complete convergence for negatively orthant dependent random variables. J Inequal Appl, 2014, 1: 1- 12 |
| 12 | 邱德华, 陈平炎, 肖娟. END随机变量序列加权和的矩完全收敛性. 应用数学学报, 2017, 40 (3): 436- 448 |
| Qiu D H , Chen P Y , Xiao J . Complete moment convergence for sequences of END random variables. Acta Math Appl Sin, 2017, 40 (3): 436- 448 | |
| 13 | 郭明乐, 祝东进. NOD随机变量序列加权和的矩完全收敛性的等价条件. 系统科学与数学, 2013, 33 (9): 1093- 1104 |
| Guo M L , Zhu D J . Equivalent conditions of complete moment convergence for weighted sums of NOD sequences of random variables. J Sys Sci & Math Scis, 2013, 33 (9): 1093- 1104 | |
| 14 |
Wang X J , Xu CH , Hu T CH , Volodin A , Hu Shuhe . On complete convergence for widely orthant-dependent random variables and its applications in nonparametric regression models. Test, 2014, 23: 607- 629
doi: 10.1007/s11749-014-0365-7 |
| 15 |
Qiu D H , Chen P Y . Complete and complete moment convergence for weighted sums of widely orthant dependent random variables. Acta Math Sin, 2014, 30 (9): 1539- 1548
doi: 10.1007/s10114-014-3483-y |
| 16 |
丁洋, 吴燚, 王学军, 等. WOD随机变量加权和的完全收敛性. 高校应用数学学报, 2015, 30 (4): 417- 424
doi: 10.3969/j.issn.1000-4424.2015.04.005 |
|
Ding Y , Wu Y , Wang X J , et al. Complete convergence for weighted sums of widely orthant dependent random variables. Appl Math J Chinese Univ Ser A, 2015, 30 (4): 417- 424
doi: 10.3969/j.issn.1000-4424.2015.04.005 |
|
| 17 |
Liu X , Shen Y , Yang J . Complete moment convergence of widely orthant dependent random variables. Communication in Statistics-Theort and Methods, 2017, 46 (14): 7256- 7265
doi: 10.1080/03610926.2016.1148728 |
| 18 |
蔡光辉, 潘雪艳. 不同分布WOD随机变量序列的重对数律. 高校应用数学学报, 2015, 30 (4): 425- 431
doi: 10.3969/j.issn.1000-4424.2015.04.006 |
|
Cai G H , Pan X Y . Law of iterated logarithm for WOD random variables sequences with different distributions. Appl Math J Chinese Univ Ser A, 2015, 30 (4): 425- 431
doi: 10.3969/j.issn.1000-4424.2015.04.006 |
|
| 19 |
Shao Q M . A comparison theorem on moment inequalities between Negatively associated and independent random variables. J Theo Probab, 2000, 13: 343- 356
doi: 10.1023/A:1007849609234 |
| [1] | Bing Meng,Dingcheng Wang,Qunying Wu. On the Complete Moment Convergence for Weighted Sums of Rowwise Asymptotically Almost Negatively Associated Random Variables [J]. Acta mathematica scientia,Series A, 2020, 40(6): 1670-1681. |
| [2] |
Zhihua Zhang,Pingyan Chen.
Complete Convergence for Weighted Sums for |
| [3] | 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. |
| [4] | 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. |
| [5] | 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. |
| [6] | Li Wei. Complete Convergence for Weighted Sums Under END Setup [J]. Acta mathematica scientia,Series A, 2016, 36(3): 448-455. |
| [7] | Li Wei. Complete Convergence for Sung's Type Weighted Sums Under NOD Setup [J]. Acta mathematica scientia,Series A, 2015, 35(4): 729-737. |
| [8] | 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. |
| [9] | WU Yong-Feng. Lp Convergence and Complete Moment Convergence for Sequences of Pairwise NQD Random Variables [J]. Acta mathematica scientia,Series A, 2013, 33(5): 850-859. |
| [10] | HU Shu-He, LI Xiao-Qin, YANG Wen-Zhi, WANG Xue-Jun. Bernstein Inequalities and Inverse Moments for Mixing Sequences [J]. Acta mathematica scientia,Series A, 2012, 32(3): 441-449. |
| [11] | LING Neng-Xiang, DING Jie. Asymptotic Properties of Conditional Density Estimation for Dependence Functional Data [J]. Acta mathematica scientia,Series A, 2012, 32(3): 547-556. |
| [12] | 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. |
| [13] | GAN Shi-Xin. Rosenthal's Inequality and Its Applications for B -valued Random Elements [J]. Acta mathematica scientia,Series A, 2010, 30(2): 327-334. |
| [14] | YAO Qiang. A Proof of the Complete Convergence Theorem for Contact Processes on Some Product Graphs [J]. Acta mathematica scientia,Series A, 2010, 30(1): 97-102. |
| [15] | Gan Shixin;Chen Pingyan. Strong Convergence Rate of Weighted Sums for NOD Sequences [J]. Acta mathematica scientia,Series A, 2008, 28(2): 283-290. |
|