ON THE WEAK LAW FOR RANDOMLY INDEXED PARTIAL SUMS FOR ARRAYS

  • Hong, Dug-Hun (School of Mech. and Autom. Engin., Catholic University of Taegu) ;
  • Sung, Soo-Hak (Department of Applied Mathematics, Pai Chai University) ;
  • Andrei I.Volodin (Department of Mathematics and Stat., Regina University)
  • Published : 2001.04.01

Abstract

For randomly indexed sums of the form (Equation. See Full-text), where {X(sub)ni, i$\geq$1, n$\geq$1} are random variables, {N(sub)n, n$\geq$1} are suitable conditional expectations and {b(sub)n, n$\geq$1} are positive constants, we establish a general weak law of large numbers. Our result improves that of Hong [3].

References

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