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A weak convergence for negatively associated fields

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  • Zhang, Li-Xin
  • Wen, Jiwei

Abstract

The aim of this paper is to investigate the weak convergence for negatively associated random fields. To this end, we obtain some moment inequalities for the maximum of partial sums for a negatively associated random field, which also are of independent interest.

Suggested Citation

  • Zhang, Li-Xin & Wen, Jiwei, 2001. "A weak convergence for negatively associated fields," Statistics & Probability Letters, Elsevier, vol. 53(3), pages 259-267, June.
    • Handle: RePEc:eee:stapro:v:53:y:2001:i:3:p:259-267
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    References listed on IDEAS

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    1. Roussas, G. G., 1994. "Asymptotic Normality of Random Fields of Positively or Negatively Associated Processes," Journal of Multivariate Analysis, Elsevier, vol. 50(1), pages 152-173, July.
    2. Shao, Qi-Man & Su, Chun, 1999. "The law of the iterated logarithm for negatively associated random variables," Stochastic Processes and their Applications, Elsevier, vol. 83(1), pages 139-148, September.
    3. Matula, Przemyslaw, 1992. "A note on the almost sure convergence of sums of negatively dependent random variables," Statistics & Probability Letters, Elsevier, vol. 15(3), pages 209-213, October.
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    Cited by:

    1. Wang, Jiang-Feng & Liang, Han-Ying, 2008. "A note on the almost sure central limit theorem for negatively associated fields," Statistics & Probability Letters, Elsevier, vol. 78(13), pages 1964-1970, September.
    2. Li, Yun-Xia, 2009. "Convergence rates in the law of the iterated logarithm for negatively associated random variables with multidimensional indices," Statistics & Probability Letters, Elsevier, vol. 79(8), pages 1038-1043, April.
    3. Ming Yuan & Chun Su & Taizhong Hu, 2003. "A Central Limit Theorem for Random Fields of Negatively Associated Processes," Journal of Theoretical Probability, Springer, vol. 16(2), pages 309-323, April.
    4. Cai, Guang-hui & Wang, Jian-Feng, 2009. "Uniform bounds in normal approximation under negatively associated random fields," Statistics & Probability Letters, Elsevier, vol. 79(2), pages 215-222, January.

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