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《山东大学学报(理学版)》 ›› 2024, Vol. 59 ›› Issue (6): 122-126.doi: 10.6040/j.issn.1671-9352.0.2022.484

•   • 上一篇    

条件弱鞅和条件N-弱鞅的上(下)穿不等式

高玉峰1,2(),冯德成2   

  1. 1. 甘肃省白银市第十中学, 甘肃 白银 730900
    2. 西北师范大学数学与统计学院, 甘肃 兰州 730070
  • 收稿日期:2022-09-16 出版日期:2024-06-20 发布日期:2024-06-17
  • 作者简介:高玉峰(1991—), 男, 硕士研究生, 研究方向为概率论与数理统计. E-mail: 916861214@qq.com

Upcrossing and downcrossing inequalities for conditional demimartingales and conditional N-demimartingales

Yufeng GAO1,2(),Decheng FENG2   

  1. 1. Baiyin No.10 Middle School, Baiyin 730900, Gansu, China
    2. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2022-09-16 Online:2024-06-20 Published:2024-06-17

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摘要：

利用条件弱鞅和条件N-弱鞅的性质, 得到条件弱鞅的上穿不等式和条件N-弱鞅的下穿不等式, 推广已有文献中的相关结果。

关键词: 条件弱鞅, 条件N-弱鞅, 上穿不等式, 下穿不等式

Abstract:

According to the property of conditional demimartingales and conditional N-demimartingales, the upcrossing inequalities for conditional demimartingales and the downcrossing inequalities for conditional N-demimartingales are obtained. These results generalize the relevant results in the existing literatures.

Key words: conditional demimartingale, conditional N-demimartingale, upcrossing inequality, downcrossing inequality

中图分类号: 

  • O211.4
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8 高玉峰, 冯德成, 王晓艳, 等. 条件弱鞅的极小值不等式[J]. 西南大学学报(自然科学版), 2017, 39 (11): 74- 80.
GAO Yufeng , FENG Decheng , WANG Xiaoyan , et al. Some minimal inequalities for conditional demimartingales[J]. Journal of Southwest University(Natural Science), 2017, 39 (11): 74- 80.
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