대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제43권3호
  • /
  • Pages.543-549
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  • 2006
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  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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ON THE WEAK LAWS WITH RANDOM INDICES FOR PARTIAL SUMS FOR ARRAYS OF RANDOM ELEMENTS IN MARTINGALE TYPE p BANACH SPACES

  • Sung, Soo-Hak (Department of Applied Mathematics, Pai Chai University) ;
  • Hu, Tien-Chung (Department of Mathematics, National Tsing Hua University) ;
  • Volodin, Andrei I. (Department of Mathematics and Statistics, University of Regina)
  • 발행 : 2006.08.01
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초록

Sung et al. [13] obtained a WLLN (weak law of large numbers) for the array $\{X_{{ni},\;u_n{\leq}i{\leq}v_n,\;n{\leq}1\}$ of random variables under a Cesaro type condition, where $\{u_n{\geq}-{\infty},\;n{\geq}1\}$ and $\{v_n{\leq}+{\infty},\;n{\geq}1\}$ large two sequences of integers. In this paper, we extend the result of Sung et al. [13] to a martingale type p Banach space.

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참고문헌

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