Abstract

We establish some strong laws of large numbers for double arrays of independent set-valued random variables in separable Banach spaces under various conditions.

Author information

Contact details are reproduced from the original publication and may be historical.

Van Quang Nguyen

Dept. of Mathematics, Vinh University, Nghe An Province, Viet Nam

nvquang@hotmail.com

Keywords

  • Double array
  • triangular array
  • strong law of large numbers
  • independent
  • compactly uniformly integrable
  • stochastically dominated
  • uniformly p-smooth
  • martingale

Mathematics Subject Classification

28B20, 60G42, 46A17, 54A20

Suggested citation

V. Q. Nguyen, T. T. Nguyen. “Strong Laws of Large Numbers for Double Arrays of Independent Set-Valued Random Variables in Banach Spaces.” Journal of Convex Analysis 19 (2012), No. 1, 141–157. https://doi.org/10.68381/jca19008

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Published by Heldermann Verlag, 2012. Rights now held by Banach Press.