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Almost sure behaviour ofF-valued random fields
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  • Published: September 1992

Almost sure behaviour ofF-valued random fields

  • Deli Li1,
  • Xiangchen Wang2 &
  • M. Bhaskara Rao3 

Probability Theory and Related Fields volume 93, pages 393–405 (1992)Cite this article

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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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Author information

Authors and Affiliations

  1. Institute of Mathematics, Jilin University, 130023, Changchun, People's Republic of China

    Deli Li

  2. Department of Mathematics, Jilin University, 130023, Changchun, People's Republic of China

    Xiangchen Wang

  3. Department of Statistics, North Dakota State University, 58105, Fargo, ND, USA

    M. Bhaskara Rao

Authors
  1. Deli Li
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  2. Xiangchen Wang
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  3. M. Bhaskara Rao
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Additional information

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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Cite this article

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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  • Received: 11 December 1990

  • Revised: 11 February 1992

  • Issue Date: September 1992

  • DOI: https://doi.org/10.1007/BF01193058

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Mathematics Subject Classification (1980)

  • 60 B 12
  • 60 G 60
  • 60 F 15
  • 60 G 50
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