| 概率论中一类矩不等式的证明 |
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| 引用本文： | 徐晓岭,顾蓓青,王蓉华.概率论中一类矩不等式的证明[J].数学学习,2022,25(1):8-9,40. |
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| 作者姓名： | 徐晓岭 顾蓓青 王蓉华 |
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| 作者单位： | 上海对外经贸大学统计与信息学院,上海201620,上海师范大学数理学院,上海200234 |
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| 基金项目： | 上海对外经贸大学应用统计学一流本科专业建设项目 |
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| 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.
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| 关 键 词： | 矩不等式 车贝雪夫不等式 反例 |
Proofs of Moment Inequalities in Probability Theory |
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| XU Xiaoling,GU Beiqing,WANG Ronghua.Proofs of Moment Inequalities in Probability Theory[J].Studies In College Mathematics,2022,25(1):8-9,40. |
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| Authors: | XU Xiaoling GU Beiqing WANG Ronghua |
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| Institution: | (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) |
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| Abstract: | 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 reference4]is wrong. |
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| Keywords: | moment inequality Chebyshev's inequality counterexample |
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