[1]冯德成,杨亚男,文慧敏.条件弱鞅的γ型概率不等式及强大数定律[J].四川师范大学学报(自然科学版),2020,43(03):321-325.[doi:10.3969/j.issn.1001-8395.2020.03.005]
 FENG Decheng,YANG Yanan,WEN Huimin.The γ-type Probability Inequalities of Conditional Demimartingale and Strong Law of Large Numbers[J].Journal of SichuanNormal University,2020,43(03):321-325.[doi:10.3969/j.issn.1001-8395.2020.03.005]
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条件弱鞅的γ型概率不等式及强大数定律()
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《四川师范大学学报(自然科学版)》[ISSN:1001-8395/CN:51-1295/N]

卷:
43卷
期数:
2020年03期
页码:
321-325
栏目:
基础理论
出版日期:
2020-05-05

文章信息/Info

Title:
The γ-type Probability Inequalities of Conditional Demimartingale and Strong Law of Large Numbers
文章编号:
1001-8395(2020)03-0321-05
作者:
冯德成 杨亚男 文慧敏
西北师范大学 数学与统计学院, 甘肃 兰州 730070
Author(s):
FENG Decheng YANG Yanan WEN Huimin
College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu
关键词:
极大值不等式 极小值不等式 条件弱鞅 强大数定律
Keywords:
maximal inequality minimal inequality conditional demimartingale strong law of large numbers
分类号:
O211.4
DOI:
10.3969/j.issn.1001-8395.2020.03.005
文献标志码:
A
摘要:
利用条件弱鞅的极大值和极小值不等式得到了条件弱鞅的γ型概率不等式,同时给出条件弱鞅的一个强大数定律.
Abstract:
In this paper, we get the γ-type Probability Inequalities of Conditional Demimartingale and Strong Law of Large NumbersFENG Decheng, YANG Yanan, WEN Huimin(College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu)In this paper, we get the pe probability inequalities of conditional demimartingale by useing maximal and minimal inequalities for conditional demimartingale, and give a strong law of large numbers of conditional demimartingale.

参考文献/References:

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[2] HADJIKYIAKOU M. Probability and moment inequalities for demimartingales and associated random variables[D]. Nicosia:University of Cyprus,2010.
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[9] 牛彩莉. 条件弱(下)鞅的概率不等式及其应用[D]. 兰州:西北师范大学,2016.
[10] 李琴社,冯德成,王英. 条件PA序列的条件H-R型不等式[J]. 西南大学学报(自然科学版),2019,44(3):1-4.

相似文献/References:

[1]冯德成,王 英,李琴社.弱(下)鞅的一类Marshall型不等式[J].四川师范大学学报(自然科学版),2018,(04):495.[doi:10.3969/j.issn.1001-8395.2018.04.011]
 FENG Decheng,WANG Ying,LI Qinshe.Some Marshall Type Inequalities for Demi(sub)martingale[J].Journal of SichuanNormal University,2018,(03):495.[doi:10.3969/j.issn.1001-8395.2018.04.011]

备注/Memo

备注/Memo:
收稿日期:2018-07-31 接受日期:2018-10-08 基金项目:国家自然科学基金(11861057和11761064) 第一作者简介:冯德成(1972-),男,副教授,主要从事应用概率学的研究,E-mail:fengdc@163.com
更新日期/Last Update: 2020-05-05