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THE CONVERGENCE RATES IN THE ASYMMETRIC LAWS OF LARGE NUMBER FOR NEGATIVELY ASSOCIATED RANDOM FIELDS
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  • Journal title : Honam Mathematical Journal
  • Volume 34, Issue 2,  2012, pp.209-217
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2012.34.2.209
 Title & Authors
THE CONVERGENCE RATES IN THE ASYMMETRIC LAWS OF LARGE NUMBER FOR NEGATIVELY ASSOCIATED RANDOM FIELDS
Ko, Mi-Hwa;
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 Abstract
Convergence rates in the law of large numbers for i.i.d. random variables have been generalized by Gut[Gut, A., 1978. Marc inkiewicz laws and convergence rates in the law of large numbers for random variables with multidimensional indices, Ann. Probab. 6, 469-482] to random fields with all indices having the same power in the normalization. In this paper we generalize these convergence rates to the identically distributed and negatively associated random fields with different indices having different power in the normalization.
 Keywords
Negative association;random field;multidimensional index;convergence rate;asymmetric;
 Language
English
 Cited by
 References
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