Journal of Applied Mathematics

The Almost Sure Local Central Limit Theorem for the Negatively Associated Sequences

Yuanying Jiang and Qunying Wu

Full-text: Open access

Abstract

In this paper, the almost sure central limit theorem is established for sequences of negatively associated random variables: limn(1/logn)k=1n(I(akSk<bk)/k)P(akSk<bk)=1, almost surely. This is the local almost sure central limit theorem for negatively associated sequences similar to results by Csáki et al. (1993). The results extend those on almost sure local central limit theorems from the i.i.d. case to the stationary negatively associated sequences.

Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 656257, 9 pages.

Dates
First available in Project Euclid: 14 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1394808053

Digital Object Identifier
doi:10.1155/2013/656257

Mathematical Reviews number (MathSciNet)
MR3074339

Zentralblatt MATH identifier
1276.60025

Citation

Jiang, Yuanying; Wu, Qunying. The Almost Sure Local Central Limit Theorem for the Negatively Associated Sequences. J. Appl. Math. 2013 (2013), Article ID 656257, 9 pages. doi:10.1155/2013/656257. https://projecteuclid.org/euclid.jam/1394808053


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