A Note on LIL for Random Subsequences

ZHANG Bo

Department of Probability & Statistics, School of Mathematical Sciences, Peking University, Beijing, 100871

张博

Abstract: This note is to give the LIL for sequences of random variables with random indices, which improves the results of Torrang I.

Key words: LIL, random subsequences

摘要： 本文研究随机子列的重对数律，改进了Torrang I.的结果。

关键词: 重对数律, 随机子列

CLC Number:

ZHANG Bo. A Note on LIL for Random Subsequences[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.

张博. 关于随机子列的重对数律的一个注记[J]. 北京大学学报（自然科学版）.

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[2]	YANG Ying. Large Sample Properties of Estimation of the Error Distribution in Nonparametric Regression [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 1997, 33(3): 298-304.
[3]	ZHOU Yibing,FENG Yun,YOU Ruilin. Some Isozyme Changes Related to Organogenesiss of Bulblets from Bulb Scales of Lilium davidii in vitro [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 1995, 31(4): 499-507.
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