Strong Laws of Large Numbers for 𝔹-Valued Random Fields
We extend to random fields case, the results of Woyczynski, who proved Brunk's type strong law of large numbers (SLLNs) for 𝔹-valued random vectors under geometric assumptions. Also, we give probabilistic requirements for above-mentioned SLLN, related to results obtained by Acosta as well as n...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2009/485412 |
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| Summary: | We extend to random fields case, the results of Woyczynski, who proved
Brunk's type strong law of large numbers (SLLNs) for 𝔹-valued random vectors under geometric
assumptions. Also, we give probabilistic requirements for above-mentioned
SLLN, related to results obtained by Acosta as well as necessary and sufficient probabilistic
conditions for the geometry of Banach space associated to the strong and
weak law of large numbers for multidimensionally indexed random vectors. |
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| ISSN: | 1026-0226 1607-887X |