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doi:10.3969/j.issn.1001-4268.2018.02.005

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Abstract

In this paper, a new H\'{a}jek-R\'{e}nyi-type inequality for mean zero associated random variables is obtained, which generalizes and improves the result of Theorem 2.2 of \ncite{9}. In addition, a Brunk-Prokhorov-type strong law of large numbers is also given.

Key words�� associated random variables demimartingales H\'{a}jek-R\'{e}nyi-type inequality strong law of large numbers

PACS:

O212.1

Fund:

The research was supported by the National NaturalScience Foundation of China (Grant No. 11061032) and the Professional Competence Enhancement Research Project for Young Teachers of Northwest Normal University (Grant No. NWNU-LKQN-11-2)

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	Articles by authors
	FENG DeCheng
	WANG XiaoYan
	GAO YuFeng

Cite this article:

FENG DeCheng,WANG XiaoYan,GAO YuFeng. H\'{a}jek-R\'{e}nyi-Type Inequality and Strong Law of Large Numbers for Associated Sequences[J]. CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST, 2018, 34(2): 169-176.

URL:

http://aps.ecnu.edu.cn/EN/10.3969/j.issn.1001-4268.2018.02.005 OR http://aps.ecnu.edu.cn/EN/Y2018/V34/I2/169

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