Almost sure behaviour ofF-valued random fields |
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| Authors: | Deli Li Xiangchen Wang M. Bhaskara Rao |
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| Affiliation: | (1) Institute of Mathematics, Jilin University, 130023 Changchun, People's Republic of China;(2) Department of Mathematics, Jilin University, 130023 Changchun, People's Republic of China;(3) Department of Statistics, North Dakota State University, 58105 Fargo, ND, USA |
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| Abstract: | Summary LetXn, n  d be a field of independent random variables taking values in a semi-normed measurable vector spaceF. For a broad class of fields  n, d of positive numbers, the almost sure behaviour of  k nXk/n, n d 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.Supported in part by the Youth Science Foundation of China, No. 19001018Supported by the National Natural Science Foundation of China |
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| Keywords: | 60 B 12 60 G 60 60 F 15 60 G 50 |
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