逆弱鞅的一类Marshall型极大值不等式  

A Class of Marshall Type Maximal Inequalities for Reverse Demimartingales

作　　者：周越 冯德成 李颖 ZHOU Yue;FENG De-cheng;LI Ying(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《安徽师范大学学报(自然科学版)》2025年第1期1-5,共5页Journal of Anhui Normal University(Natural Science)

基　　金：国家自然科学基金项目(12261080,62261049).

摘　　要：逆弱鞅序列是比鞅序列更为广泛的一类相依随机变量序列。本文利用随机变量的Hölder不等式和逆弱鞅的Doob型极大值不等式,得到了逆弱鞅{S_(n),n≥1}在不同条件下的Marshall型极大值不等式。Reverse demimartingales is one more extensive class of the sequence of dependent random variables than martingales.The Marshall type maximal inequalities for reverse demimartingale sequence{S_(n),n≥1}under different conditions were established by using Hölder inequality and Doob type maximal inequalities of random variables.

关 键 词：逆弱鞅 逆弱下鞅 Marshall型不等式 

分 类 号：O211.4[理学—概率论与数理统计]