The Law of Large Numbers and the Ito-Nisio Theorem for Vector Valued Random Fields

J. Hoffmann-Jørgensen, K-L. Su and R. L. Taylor
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J. Hoffmann-Jørgensen: Aarhus Universitet
K-L. Su: National Open University
R. L. Taylor: University of Georgia

Journal of Theoretical Probability, 1997, vol. 10, issue 1, 145-183

Abstract: Abstract Strong convergence results are obtained for vector-valued random fields. Substantial development of Banach-valued random fields and summability results is needed to provide the framework for the major results since many plausible extensions fail for multi-indexed Banach-valued random variables. This development yields general convergence results for random fields in Banach spaces, including an Ito-Nisio theorem and strong laws of large numbers.

Keywords: Random field; Banach space; law of large numbers (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1023/A:1022650616646

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