JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (4): 13-20.doi: 10.6040/j.issn.1671-9352.0.2016.249
Previous Articles Next Articles
ZHANG Ya-yun, WU Qun-ying*
CLC Number:
| [1] CHOW Y S. On the rate of moment convergence of sample sums and extremes[J]. Bulletin of the Institute of Mathematics Academia Sinica, 1988, 16(3):177-201. [2] LIU Weidong, LIN Zhengyan. Precise asymptotics for a new kind of complete moment convergence[J]. Statistics and Proba-bility Letters, 2006, 76(16):1787-1799. [3] JIANG Ye, ZHANG Lixin, PANG Tianxiao. Precise rates in the law of logarithm for the moment convergence of i.i.d. random variables[J]. Journal of Mathematical Analysis and Applications, 2007, 327(1):695-714. [4] KOLMOGOROV A N, ROZANOV Y A. On strong mixing conditions for stationary Gaussian processes[J]. Theory of Proba-bility and Its Applications, 1960, 5(2):204-208. [5] PELIGRAD M. Convergence rates of the strong law for stationary mixing sequences[J]. Zeitschrift Fjr Wahrscheinlichkeits-Theorie and Verwandte Gebiete, 1985, 70(2):307-314. [6] SHAO Qiman. On the complete convergence for ρ-mixing sequence [J]. Acta Mathematica Sinica,1989, 32:377-393. [7] SHAO Qiman. Maximal inequalities for partial sums of ρ-mixing sequences[J]. Annals of Probability, 1995, 23(2):948-965. [8] ZHAO Yuexu. Precise rates in complete moment convergence for ρ-mixing sequences[J]. Journal of Mathematical Analysis and Applications, 2008, 339(1):553-565. [9] XIAO Xiaoyong, YIN Hongwei. Precise asymptotics in the law of iterated logarithm for the first moment convergence of i.i.d. random variables [J]. Statistics and Probability Letters, 2012, 82(8):1590-1596. [10] 附宗魁,吴群英.ρ-混合序列安全矩收敛的精确渐进性[J]. 湖北大学学报(自然科学版), 2015, 5:431-437. FU Zongkui, WU Qunying. Precise asymptotics in the complete moment convergence for ρ-mixing sequence[J]. Journal of Hubei University(Natural Science), 2015, 5:431-437. [11] IBRAGIMOV I A. A note on the central limit theorems for dependent random variables[J]. Probab Theory Appl, 1975, 20:134-139. [12] SHAO Qiman. A remark on the invariance principle for ρ-mixing sequence [J]. Chinese Annals of Mathematics:Series A, 1988, 9:377-393. [13] BILLINGSLEY P. Convergence of probability measures[M]. New York:Wiley, 1968. |
| [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] | TAN Chuang, GUO Ming-le, ZHU Dong-jin. Complete moment convergence of weighted sums of arrays of rowwise ND random variables [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(06): 27-32. |
| [6] | 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. |
| [7] | 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. |
|
||
