On the Asymmetric Marcinkiewicz-Zygmund Strong Law of Large Numbers for Linear Random Fields |
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Authors: | Mi-Hwa Ko |
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Affiliation: | 1. Department of Mathematics , WonKwang University , Jeonbuk , Korea songhack@wonkwang.ac.kr |
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Abstract: | 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 Gut , A. , Studtmüller , U. ( 2009 ) An asymmetric Marcinkiewicz-Zygmund LLN for random fields . Statist. Probab. Lett. 79 : 1016 – 1020 .[Crossref], [Web of Science ®] , [Google Scholar]). An asymmetric Marcinkiewicz-Zygmund LLN for random fields to the linear random field by using the Beverige-Nelson decomposition. |
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Keywords: | Beveridge-Nelson decomposition Linear random field Negative association Strong law of large numbers |
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