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