Acta mathematica scientia,Series A ›› 2020, Vol. 40 ›› Issue (6): 1670-1681.
Previous Articles Next Articles
On the Complete Moment Convergence for Weighted Sums of Rowwise Asymptotically Almost Negatively Associated Random Variables
Bing Meng1,2,Dingcheng Wang1,*(
),Qunying Wu2
- 1 School of Mathematical Science, University of Electronic Science and Technology of China, Chengdu 611731
2 College of Science, Guilin University of Technology, Guangxi Guilin 541004
-
Received:2019-08-20Online:2020-12-26Published:2020-12-29 -
Contact:Dingcheng Wang E-mail:wangdc@uestc.edu.cn -
Supported by:the NSFC(11661029);the NSFC(11661030);the Science Foundation of the Guangxi(2018GXNSFAA281011)
CLC Number:
- O211.4
Cite this article
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.
share this article
| 1 | Baek J I , Choi I B , Niu S L . On the complete convergence of weighted sums for arrays of negatively associated variables. Journal of the Korean Statistical Society, 2008, 37: 73- 80 |
| 2 | Chandra T K , Ghosal S . The strong law of large numbers for weighted averages under dependence assumptions. J Theor Probab, 1996, 9 (3): 797- 809 |
| 3 | Chow Y S . On the rate of moment convergence of sample sums and extremes. Bull Inst Math Acad Sin, 1988, 16 (3): 177- 201 |
| 4 | Erdös P . On a theorem of Hsu and Robbins. Ann Math Stat, 1949, 20 (2): 286- 291 |
| 5 | Hsu P L , Robbins H . Complete convergence and the law of large numbers. Proc Nat Acad Sci USA, 1947, 33 (2): 25- 31 |
| 6 | Huang H W , Deng G M , Zhang Q X , Jiang Y Y . On the strong convergence for weighted sums of asymptotically almost negatively associated random variables. Kybernetika, 2014, 50 (3): 393- 407 |
| 7 | Joag-Dev K , Proschan F . Negative association of random variables with applications. Ann Stat, 1983, 11 (1): 286- 295 |
| 8 | Shen A T , Wu R C . Strong convergence for sequences of asymptotically almost negatively associated random variables. Stochastics, 2014, 86 (2): 291- 303 |
| 9 | Sung S H . Complete convergence for weighted sums of random variables. Stat Probab Lett, 2007, 77: 303- 311 |
| 10 | Wang X J , Chen X , Hu T C , et al. On complete convergence for widely orthant dependent random variables and its applications in nonparametric regression models. TEST, 2014, 23 (3): 607- 629 |
| 11 | Wang X J , Deng X , Zheng L L , Hu S H . Complete convergence for arrays of rowwise negatively superadditive dependent random variables and its applications. Stat J Theor Appl Stat, 2014, 48: 834- 850 |
| 12 | Wang X J, Hu S H, Yang W Z, Wang X H. On complete convergence of weighted sums for arrays of rowwise asymptotically almost negatively associated random variables. Abstract and Applied Analysis, 2012, Article ID: 315138. DOI: 10.1155/2012/315138 |
| 13 | 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 |
| 14 | Wang X J , Zheng L L , Chen X , Hu S H . Complete consistency for the estimator of nonparametric regression models based on extended negatively dependent errors. Statistics:A Journal of Theoretical and Applied Statistics, 2015, 49 (2): 396- 407 |
| 15 | Wang Y , Yan J , Cheng F , Su C . The strong law of large numbers and the law of the iterated logarithm for product sums of NA and AANA random variables. Southeast Asian Bulletin of Mathematics, 2003, 27 (2): 369- 384 |
| 16 | Wu Q Y. Complete convergence for weighted sums of sequences of negatively dependent random variables. J Probab Stat, 2011, Article ID: 202015 |
| 17 | Yuan D M , An J . Rosenthal type inequalities for asymptotically almost negatively associated random variables and applications. Sci China Ser A, 2009, 52 (9): 1887- 1904 |
| 18 | Yuan D M , An J . Laws of large numbers for Cesáro alpha-integrable random variables under dependence condition AANA or AQSI. Acta Math Sinica English Ser, 2012, 28 (6): 1103- 1118 |
| [1] | 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. |
| [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] | 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. |
| [10] | 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. |
| [11] | 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. |
| [12] | 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. |
| [13] | QIU De-Hua. Convergence Properties for Weighted Sums of ρ -mixing Random Variables [J]. Acta mathematica scientia,Series A, 2011, 31(1): 132-141. |
| [14] | 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. |
| [15] | 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. |
| Viewed | ||||||||||||||||||||||||||||||||||||||||||||||
|
Full text 125
|
|
|||||||||||||||||||||||||||||||||||||||||||||
|
Abstract 81
|
|
|||||||||||||||||||||||||||||||||||||||||||||
Cited |
|
|||||||||||||||||||||||||||||||||||||||||||||
| Shared | ||||||||||||||||||||||||||||||||||||||||||||||
| Discussed | ||||||||||||||||||||||||||||||||||||||||||||||
|