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A sharp inequality for martingales and its applications

Author

Listed:
  • Li, Bainian
  • Zhang, Kongsheng
  • Wu, Libin

Abstract

In this paper, the best constant with respect to an inequality for martingales in Hall and Heyde (1980) is obtained. As a consequence, some large deviations with martingale difference and moving average process are established.

Suggested Citation

  • Li, Bainian & Zhang, Kongsheng & Wu, Libin, 2011. "A sharp inequality for martingales and its applications," Statistics & Probability Letters, Elsevier, vol. 81(8), pages 1260-1266, August.
  • Handle: RePEc:eee:stapro:v:81:y:2011:i:8:p:1260-1266
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    References listed on IDEAS

    as
    1. Li, Yulin, 2003. "A martingale inequality and large deviations," Statistics & Probability Letters, Elsevier, vol. 62(3), pages 317-321, April.
    2. Ren, Yao-Feng & Liang, Han-Ying, 2001. "On the best constant in Marcinkiewicz-Zygmund inequality," Statistics & Probability Letters, Elsevier, vol. 53(3), pages 227-233, June.
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