Some inequalities for demimartingales and N-demimartingales
In this paper, we investigate Marshall type inequalities for demimartingales and as a further study, we obtain minimal Marshall type inequalities for nonnegative demimartingales. In addition, the convex function type inequalities for demimartingales and N-demimartingales are presented. Our results generalize some corresponding ones.
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Volume (Year): 82 (2012)
Issue (Month): 2 ()
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- Christofides, Tasos C., 2000. "Maximal inequalities for demimartingales and a strong law of large numbers," Statistics & Probability Letters, Elsevier, vol. 50(4), pages 357-363, December.
- Wang, Jianfeng, 2004. "Maximal inequalities for associated random variables and demimartingales," Statistics & Probability Letters, Elsevier, vol. 66(3), pages 347-354, February.
- Christofides, Tasos C. & Hadjikyriakou, Milto, 2009. "Exponential inequalities for N-demimartingales and negatively associated random variables," Statistics & Probability Letters, Elsevier, vol. 79(19), pages 2060-2065, October.
- Wang, Xuejun & Hu, Shuhe & Prakasa Rao, B.L.S. & Yang, Wenzhi, 2011. "Maximal inequalities for N-demimartingale and strong law of large numbers," Statistics & Probability Letters, Elsevier, vol. 81(9), pages 1348-1353, September.
- Hu, Shuhe & Chen, Guijing & Wang, Xuejun, 2008. "On extending the Brunk-Prokhorov strong law of large numbers for martingale differences," Statistics & Probability Letters, Elsevier, vol. 78(18), pages 3187-3194, December.
- Hadjikyriakou, Milto, 2011. "Marcinkiewicz-Zygmund inequality for nonnegative N-demimartingales and related results," Statistics & Probability Letters, Elsevier, vol. 81(6), pages 678-684, June.
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