On the Asymmetric Marcinkiewicz-Zygmund Strong Law of Large Numbers for Linear Random Fields

In this article, the asymmetric Marcinkiewicz-Zygmund strong law of large numbers for linear random field under negative association is obtained. Our result generalizes a result in Gut and Studtmüller ( 2009 ). An asymmetric Marcinkiewicz-Zygmund LLN for random fields to the linear random field by u...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2013-04, Vol.42 (8), p.1553-1562
Main Author: Ko, Mi-Hwa
Format: Article
Language:English
Subjects:
Asymmetry
Beveridge-Nelson decomposition
Decomposition
Law
Linear random field
Negative association
Statistics
Strong law of large numbers
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Summary:In this article, the asymmetric Marcinkiewicz-Zygmund strong law of large numbers for linear random field under negative association is obtained. Our result generalizes a result in Gut and Studtmüller ( 2009 ). An asymmetric Marcinkiewicz-Zygmund LLN for random fields to the linear random field by using the Beverige-Nelson decomposition.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2011.593721