MAXIMAL INEQUALITIES AND STRONG LAW OF LARGE NUMBERS FOR AANA SEQUENCES

- Journal title : Communications of the Korean Mathematical Society
- Volume 26, Issue 1, 2011, pp.151-161
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/CKMS.2011.26.1.151

Title & Authors

MAXIMAL INEQUALITIES AND STRONG LAW OF LARGE NUMBERS FOR AANA SEQUENCES

Xuejun, Wang; Shuhe, Hu; Xiaoqin, Li; Wenzhi, Yang;

Xuejun, Wang; Shuhe, Hu; Xiaoqin, Li; Wenzhi, Yang;

Abstract

Let {, } be a sequence of asymptotically almost negatively associated random variables and . In the paper, we get the precise results of Hjek-Rnyi type inequalities for the partial sums of asymptotically almost negatively associated sequence, which generalize and improve the results of Theorem 2.4-Theorem 2.6 in Ko et al. ([4]). In addition, the large deviation of for sequence of asymptotically almost negatively associated random variables is studied. At last, the Marcinkiewicz type strong law of large numbers is given.

Keywords

Hjek-Rnyi inequality;asymptotically almost negatively associated sequence;strong law of large numbers;large deviation;

Language

English

Cited by

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