JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (06): 27-32.doi: 10.6040/j.issn.1671-9352.0.2014.300
Previous Articles Next Articles
TAN Chuang, GUO Ming-le, ZHU Dong-jin
CLC Number:
| [1] HSU P L, ROBBINS H. Complete convergence and the law of large numbers[J]. Proceedings of the National Academy of Sciences of the United States of America, 1947, 33(2):25-31. [2] BAUM L E, KATE M. Convergence rates in the law of large numbers[J]. Transactions of the American Mathematical Society, 1965, 120(1):108-123. [3] WU Qunying. A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables[J]. Journal of Inequalities and Applications, 2012, 2012(1):1-10. [4] BAEK J I, CHOI I B, NIU S L. On the complete convergence of weighted sums for arrays of negatively associated variables[J]. Journal of the Korean Statistical Society, 2008, 37(1):73-80. [5] JOAG-DEV K, PROSCHAN F. Negative association of random variables with applications[J]. The Annals of Statistics, 1983: 286-295. [6] BOZOAGNIA A, PATTERSON R F, TAYLOR R L. Limit theorems for ND random variables[R]. Atlanta: University of Georfia,1993. [7] WU Qunying. Probability limit theory for mixed sequence[M]. Beijing: China Science Press, 2006. [8] SHEN A T. Probability inequalities for END sequence and their applications[J]. Journal of Inequalities and Applications, 2011, 2011(1):98.1-98.12. |
| [1] | DENG Xiao-qin, WU Qun-ying. Precise asymptotics in the complete moment convergence for NA random variables [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(1): 102-110. |
| [2] | ZHANG Yu, XIAO Ben-qiong, XU Ke, SHEN Ai-ting. Complete moment convergence for arrays of rowwise NSD random variables [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(6): 30-36. |
| [3] | ZHANG Li-jun, GUO Ming-le. On complete moment convergence of weighted sums for arrays of rowwise asymptotically almost negatively associated random variables [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(2): 42-49. |
| [4] | QIAN Shuo-ge, YANG Wen-zhi. Complete moment convergence of moving average process for END random variables [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(06): 13-18. |
| [5] | ZHENG Lu-lu, GE Mei-mei, LIU Yan-fang, WANG Xue-jun. Complete moment convergence for sequences of φ mixing random variables [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(04): 14-19. |
| [6] | XU Ri-li, GUO Ming-le*. Complete moment convergence of weighted sums of arrays of rowwise ND random variables [J]. J4, 2013, 48(6): 9-13. |
|
||
