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双参数弱(下)鞅的一类极大值不等式 被引量:2

A Class of Maximax(Minimax)Inequalities for Two-Parameter Demi(sub)martingales
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摘要 在弱(下)鞅概率不等式的基础上,给出了双参数弱(下)鞅的一类极小值不等式. In this paper,a class of maximax inequalities for one-parameter demi(sub)martingales are extended to two-parameter demi(sub)martingales,and a class of maximax inequalities for two-parameter demi(sub)martingales are obtained.In addition,let a non-negative convex function act on the demimartingale,and a maximax inequality for two-parameter demi(sub)martingales is obtained.
作者 文慧敏 冯德成 杨亚男 WEN Hui-min;FENG De-cheng;YANG Ya-nan(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2021年第3期95-100,共6页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金项目(11861057,11761064).
关键词 弱(下)鞅 双参数弱(下)鞅 极小值不等式 demi(sub)martingale two-parameter demi(sub)martingale minimax inequality
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