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On the convergence of vector random measures
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  • Published: March 1991

On the convergence of vector random measures

  • Dang Hung Thang1 

Probability Theory and Related Fields volume 88, pages 1–16 (1991)Cite this article

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Summary

The aim of this paper is to study Banach space-valued symmetric independently scattered random measures with emphasis on their convergence properties. The Vitali-Hahn-Saks Theorem, the Skorokhod theorem about the relations between the convergence a.e. and the convergence in law of random variables, and the central limit theorem for Banach valued random variables due to Hoffmann-Jorgensen, Pisier are extended to such measures.

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Authors and Affiliations

  1. Department of Mathematics, University of Hanoi, Hanoi, Vietnam

    Dang Hung Thang

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  1. Dang Hung Thang
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Thang, D.H. On the convergence of vector random measures. Probab. Th. Rel. Fields 88, 1–16 (1991). https://doi.org/10.1007/BF01193580

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  • Received: 10 May 1989

  • Revised: 20 November 1989

  • Issue Date: March 1991

  • DOI: https://doi.org/10.1007/BF01193580

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Keywords

  • Stochastic Process
  • Probability Theory
  • Limit Theorem
  • Mathematical Biology
  • Central Limit
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