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山东大学学报(理学版) ›› 2017, Vol. 52 ›› Issue (2): 91-96.doi: 10.6040/j.issn.1671-9352.0.2016.233

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基于Y函数的条件N-弱鞅的最大φ-不等式

冯德成,王晓艳,高玉峰   

  1. 西北师范大学数学与统计学院, 甘肃 兰州 730070
  • 收稿日期:2016-05-19 出版日期:2017-02-20 发布日期:2017-01-18
  • 作者简介:冯德成(1972— ),男,博士,副教授,研究方向为随机极限理论.E-mail:fengdc@163.com
  • 基金资助:
    国家自然科学基金资助项目(11461061);西北师范大学青年教师科研能力提升计划项目(NWNU-LKQN-11-2)

Maximal φ-inequalities for conditional N-demimartingales based on Y functions

FENG De-cheng, WANG Xiao-yan, GAO Yu-feng   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2016-05-19 Online:2017-02-20 Published:2017-01-18

摘要: 得到了基于Y函数的条件N-弱鞅的最大φ-不等式。

关键词: 最大φ, Y函数, -不等式, 条件N-弱鞅

Abstract: We obtain the maximal φ-inequalities for conditional N-demimartingales based on Y functions in this paper.

Key words: conditional N-demimartingale, maximal φ, Y function, -inequality

中图分类号: 

  • O211
[1] CHRISTODES T C. Maximal inequalities for N-demimartingales[J]. Journal of Mathematical Analysis and Applications, 2003, 50(1):397-408.
[2] RAO B L S P. On some inequalities for N-demimartingales[J]. Journal of the Indian Society of Agricultural Statistics, 2004, 57:208-216.
[3] ALSMEYER G, R(¨overo)SLER U. Maximal phi-inequalities for nonnegative submartingales[J]. Theory of Probability and Its Applications, 2006, 50(1):118-128.
[4] RAO B L S P. On some maximal inequalities for demisubmartingales and N-demisupermartingales[J]. Journal of Inequalities in Pure and Applied Mathematics, 2007, 8(4), Article112.
[5] WANG X J, HU S H, PRAKASA RAO B L S P, et al. Maximal inequalities for N-demimartingale and strong law of large numbers[J]. Statistics and Probability Letters, 2011, 81(9):1348-1353.
[6] WANG X J, PRAKASA RAO B L S P, HU S H, et al. On some maximal inequalities for demimartingales and N-demimartingales based on concave young functions [J]. Journal of Mathematical Analysis and Applications, 2012, 396: 434-440.
[7] HU Shuhe, WANG Xinghui, YANG Wenzhi, et al. Some inequalities for demimartingales and N-demimartingales[J]. Statistics and Probability Letters, 2012, 82(2): 232-239.
[8] HADJIKYRIAKOU M. Comparison of conditional expectations of functions of strong N-demimartingales and functions of sums of conditionally independent random variables[J]. Statistics and Probability Letters, 2013, 83(4):1282-1286.
[9] CHRISTODES T C, HADJIKYRIAKOU M. Conditional demimartingales and related results[J]. Journal of Mathematical Analysis and Applications, 2013, 398(1): 380-391.
[10] WANG Xinghui, WANG Xuejun. Some inequalities for conditional demimartingales and conditional N-demimartingales[J]. Statistics and Probability Letters, 2013, 83(3): 700-709.
[11] WANG Xinghui, HU Shuhe. On the maximal inequalities for conditional demimartingales[J]. Journal of Mathematical Inequalities, 2014, 8(3): 545-558.
[12] YANG Wenzhi, HU Shuhe. Some maximal type inequalities for N-demimartingales and related results[J]. Mathematical Inequalities and Applications, 2014, 17(2): 731-747.
[13] 冯德成,刘红蕊,牛彩莉.基于cY函数的F -弱鞅和条件N-弱鞅的最大值不等式[J].西南大学学报(自然科学版), 2015, 37(11): 77-81. FENG Decheng, LIU Hongrui, NIU Caili. On some maximal inequalities for F -demimartingale and contional N-demimartingale based on concave young functions[J]. Journal of Southwest University(Natural Science), 2015, 37(11):77-81.
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