JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (2): 97-100.doi: 10.6040/j.issn.1671-9352.0.2016.398
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ZHANG Tao1, LI Xiao-lin1, CHEN Ping-yan2*
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[1] FISHER R A, TIPPETT L H C. Limiting forms of the frequency distributions of the largest or smallest member of a sample[J]. Mathematical Proceedings of the Cambridge Philosophical Society, 1928, 24(2):180-190. [2] GUMBEL E J. Statistics of extremes[M]. New York: Columbia University Press, 1958. [3] LEADBETTER M R, LINDGREN G, ROOTZEN H. Extremes and related properties of random sequences and processes[M]. New York: Springer, 1983:1-100. [4] GALAMBOS J. The asymptotic theory of extreme order statistics[M].2nd ed.北京:科学出版社,2001. [5] RESNICK S. Extreme values, regular variation and point processes[M]. New York: Springer, 1987. [6] DUDZINSKI M. The almost sure central limit theorems in the joint version for the maxima and sums of certain stationary Gaussian Sequences[J]. Statistics and Probability Letters, 2008, 78:347-357. [7] TAN Zhongquan, WANG Yuebao. Almost sure central limit theorem for the maxima and sums of stationary Gaussian sequences[J]. Journal of the Korean Statistical Society, 2011, 40:347-355. [8] 汪嘉冈.现代概率论基础[M].上海:复旦大学出版社,2005:98-99. WANG Jiagang. Modern probability theory [M]. Shanghai: Fudan University Press, 2005:98-99. [9] EMBRECHTS P, KLUPPELBERG C, MIKOSCH T. Modelling extremal events for insurance and finance [M]. Berlin: Springer, 1997:113-179. [10] 冯志伟.阵列的单对数极限律[J].山东大学学报(理学版),2014,49(7):75-79. FENG Zhiwei. The limit law of the single logarithm for arrays[J].Journal of Shandong University(Natural Science), 2014, 49(7):75-79. [11] ROOTZEN H. Extreme of moving average of stable processes [J]. Annals of Probability, 1978, 6:847-869. [12] ROOTZEN H. Extreme value theory for moving average processes [J]. Annals of Probability, 1986, 14(2):612-652. [13] CHEN Pingyan. Some limit results for moving sums of stable random variables [J]. Northeastern Mathematical Journal, 2004, 20(1):5-12. [14] LI Deli, LIANG Hanying. The limit law of the iterated logarithm in Banach space [J]. Statistics and Probability Letters, 2013, 83:1800-1804. |
[1] | LIU Yan-ping, WU Qun-ying. Almost sure limit theorems for the maximum of Gaussian sequences#br# with optimized weight [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(05): 50-53. |
[2] | GONG Xiao-bing1,2. Whittle type inequality for demimartingales and its applications [J]. J4, 2011, 46(9): 112-116. |
[3] | YU Shi-hang . The strong law of large numbers for the sum of partial sums of identically distributed NA sequences [J]. J4, 2008, 43(4): 62-66 . |
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