Summary
LetX n, n∈ℕd be a field of independent random variables taking values in a semi-normed measurable vector spaceF. For a broad class of fields αn, ∈ ℕd of positive numbers, the almost sure behaviour of Σk≦nXk/αn, n ∈ ℕd is studied. The main result allows us to deduce some new and well-known theorems for fields of independentF random variables from related results for fields of independent real random variables.
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Supported in part by the Youth Science Foundation of China, No. 19001018
Supported by the National Natural Science Foundation of China
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Li, D., Wang, X. & Bhaskara Rao, M. Almost sure behaviour ofF-valued random fields. Probab. Th. Rel. Fields 93, 393–405 (1992). https://doi.org/10.1007/BF01193058
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DOI: https://doi.org/10.1007/BF01193058
Mathematics Subject Classification (1980)
- 60 B 12
- 60 G 60
- 60 F 15
- 60 G 50