概率论中一类矩不等式的证明  

Proofs of Moment Inequalities in Probability Theory

作　　者：徐晓岭 顾蓓青 王蓉华[2] XU Xiaoling;GU Beiqing;WANG Ronghua(School of Statistics and Information, Shanghai University of International Business and Economics, Shanghai 201620, China;Mathematics and Science College, Shanghai Normal University, Shanghai 200234, China)

机构地区：[1]上海对外经贸大学统计与信息学院,上海201620 [2]上海师范大学数理学院,上海200234

出　　处：《高等数学研究》2022年第1期8-9,40,共3页Studies in College Mathematics

基　　金：上海对外经贸大学应用统计学一流本科专业建设项目(2021)资助.

摘　　要：运用证明单边车贝雪夫不等式的方法证明了几个矩不等式,并通过反例说明文献[4]中的一结论是错误的.Several moment inequalities are proved by using the method of proving one-side Chebyshev's inequality.A counterexample is given to illustrate that a conclusion in reference[4]is wrong.

关 键 词：矩不等式 车贝雪夫不等式 反例 

分 类 号：O211[理学—概率论与数理统计]