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Articles

Complete convergence and complete moment convergence for arrays of rowwise negatively superadditive dependent random variables

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Pages 3910-3922 | Received 21 Mar 2017, Accepted 01 Aug 2017, Published online: 30 Oct 2017

References

  • Chow, Y. S. 1988. On the rate of moment convergence of sample sums and extremes. Bulletin of the Institute of Mathematics. Academia Sinica 16 (3):177–201.
  • Christofides, T. C., and E. Vaggelatou. 2004. A connection between supermodular ordering and positive/negative association. Journal of Multivariate Analysis 88:138–51.
  • Deng, X., X. J. Wang, and Y. Wu, and Y. Ding. 2016. Complete moment convergence and complete convergence for weighted sums of NSD random variables. RACSAM 110:97–120.
  • Eghbal, N., and M. Amini, and A. Bozorgnia. 2010. Some maximal inequalities for quadratic forms of negative superadditive dependence random variables. Statistics & Probability Letters 80:587–91.
  • Gan, S. X., and P. Y. Chen. 2007. On the limiting behavior of the maximum partial sums for arrays of rowwise NA random variables. Acta Mathematica Scientia. Series B 27 (2):283–90.
  • Hsu, P. L., and H. Robbins. 1947. Complete convergence and the law of large numbers. Proceedings of the National Academy of Sciences of the United States of America 33 (2):25–31.
  • Hu, T. Z. 2000. Negatively superadditive dependence of random variables with applications. Chinese Journal of Applied Probability and Statistics 16:133–44.
  • Joag-Dev, K., and F. Proschan. 1983. Negative association of random variables with applications. Annals of Statistics 11 (1):286–95.
  • Kemperman, J. H. B. 1977. On the FKG-inequalities for measures on a partially ordered space. Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen: Series A 80:313–31.
  • Shen, Y., and X. J. Wang, and S. H. Hu. 2013. On the strong convergence and some inequalities for negatively superadditive dependent sequences. Journal of Inequalities and Applications 2013:448.
  • Shen, Y., X. J. Wang, W. Z. Yang, and S. H. Hu. 2013. Almost sure convergence theorem and strong stability for weighted sums of NSD random variables. Acta Mathematica Sinica, English Series 29 (4):743–56.
  • Shen, A. T., Y. Zhang, and A. Volodin. 2015. Applications of the Rosenthal-type inequality for negatively superadditive dependent random variables. Metrika 78:295–311.
  • Wang, X. J., X. Deng, and L. L. Zheng, and S. H. Hu. 2014. Complete convergence for arrays of rowwise negatively superadditive dependent random variablesand its applications. Statistics 48:834–50.
  • Wang, X. J., A. T. Shen, Z. Y. Chen, and S. H. Hu. 2015. Complete convergence for weighted sums of NSD random variables and its application in the EV regression model. TEST 24:166–84.

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