文献类型：期刊文献

英文题名：Kolmogorov Type Law of the Logarithm for Arrays

作者：Hoffmann-Jorgensen, Jorgen[1];Miao, Yu[2];Li, Xiao Chun[2];Xu, Shou Fang[3]

第一作者：Hoffmann-Jorgensen, Jorgen

通讯作者：Miao, Y[1]

机构：[1]Aarhus Univ, Dept Math, Aarhus, Denmark;[2]Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan Province, Peoples R China;[3]Xinxiang Univ, Dept Math & Informat Sci, Xinxiang 453000, Henan Province, Peoples R China

第一机构：Aarhus Univ, Dept Math, Aarhus, Denmark

通讯机构：[1]corresponding author), Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan Province, Peoples R China.

年份：2016

卷号：29

期号：1

起止页码：32-47

外文期刊名：JOURNAL OF THEORETICAL PROBABILITY

收录：;Scopus(收录号：2-s2.0-84959081746);WOS:【SCI-EXPANDED(收录号:WOS:000371467100002)】；

基金：This work is supported by NSFC (11001077, 11471104), NCET (NCET-11-0945), IRTSTHN (14IRTSTHN023), and Plan For Scientific Innovation Talent of Henan Province (124100510014).

语种：英文

外文关键词：Kolmogorov's law of the logarithm; Independent random variables; Bernstein's inequality; Kolmogorov's inequality

摘要：In this paper, we establish the analogue of Kolmogorov-type law of the logarithm for an array of independent random variables. The main methods are to develop the classic Bernstein's and Kolmogorov's inequality and replace the boundedness condition by conditions on the cumulant transform.