Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (4): 489-495.

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Limiting Behavior of Weighted Sums of Negatively Associated Random Variables

 CHEN Beng-Tan   

  • Online:2005-08-25 Published:2005-08-25
  • Supported by:

    国家自然科学基金(10271120)资助

Abstract:

The Marcinkiewcz Zygmund strong laws of large numbers an d complete convergence are established for weighted sums of negatively associate d random variables under certain moments  both on the weights and the distributi on. These complement  extend the results of Cuzick(1995) and Bai and Cheng(2000) .

Key words: Marcinkiewcz Zygmund strong laws of large numbers;Com plete convergence

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