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

Joint Authors

Wu, Qunying
Jiang, Yuanying

Source

Journal of Applied Mathematics

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-07-15

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

In this paper, the almost sure central limit theorem is established for sequences of negatively associated random variables: limn→∞(1/logn)∑k=1n(I(ak≤Sk

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.

American Psychological Association (APA)

Jiang, Yuanying& Wu, Qunying. 2013. The Almost Sure Local Central Limit Theorem for the Negatively Associated Sequences. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-488707

Modern Language Association (MLA)

Jiang, Yuanying& Wu, Qunying. The Almost Sure Local Central Limit Theorem for the Negatively Associated Sequences. Journal of Applied Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-488707

American Medical Association (AMA)

Jiang, Yuanying& Wu, Qunying. The Almost Sure Local Central Limit Theorem for the Negatively Associated Sequences. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-488707

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-488707