Strong Laws of Large Numbers for𝔹-Valued Random Fields | Zendy

Zbigniew A. Łagodowski | Zendy

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Strong Laws of Large Numbers for𝔹-Valued Random Fields

Author(s) -

Zbigniew A. Łagodowski

Publication year - 2009

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2009/485412

Subject(s) - banach space , probabilistic logic , law of large numbers , mathematics , algorithm , computer science , discrete mathematics , statistics , random variable

We extend to random fields case, the results of Woyczynski, who provedBrunk's type strong law of large numbers (SLLNs) for -valued random vectors under geometricassumptions. Also, we give probabilistic requirements for above-mentionedSLLN, related to results obtained by Acosta as well as necessary and sufficient probabilisticconditions for the geometry of Banach space associated to the strong andweak law of large numbers for multidimensionally indexed random vectors

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