Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (5): 734-743.

• Articles • Previous Articles     Next Articles

Marcinkiewicz Laws of Large Numbers and Complete Convergence with Multidimensional Indices

 WANG Jian-Feng, JIN Jing-Sen   

  • Online:2005-10-25 Published:2005-10-25
  • Supported by:

    国家自然科学基金(10471126)资助

Abstract:

In this paper, the authors consider a set of pairwise NQD multidimensional index  random sequ ences X_k-∈N^d(d≥2) The classical strong and weak  Marcinkiewicz laws are generalized to this case. Also, the complete convergence of part ial sums is derived.

Key words: Pairwise NQD random sequences;Multidimensional index;Strong law of large numbers;Complete convergence

CLC Number: 

  • 60F15
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