AN ALMOST SURE CENTRAL LIMIT THEOREM FOR SELF-NORMALIZED WEIGHTED SUMS OF THE phi MIXING RANDOM VARIABLES

作者：Feng, Fengxiang^*; Wang, Dingcheng; Wu, Qunying

来源：Journal of Mathematical Inequalities, 2016, 10(1): 233-245.

DOI：10.7153/jmi-10-20

• phi mixing random variables
• self-normalized
• weighted sums
• almost sure central limit theorem

In this paper, an almost sure central limit theorem is obtained for self-normalized weighted sums of the phi mixing random variables. Our results extend and give substantial improvement for the result obtained by Zhang [12] and our results also extend the earlier work on almost sure central limit theorem such as Wu [13].

• 出版日期2016-3
• 单位桂林理工大学; 电子科技大学