| 概率论中不同条件下的Jensen不等式及应用 |
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| 引用本文： | 崔小兵.概率论中不同条件下的Jensen不等式及应用[J].南阳师范学院学报,2010,9(9):22-24. |
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| 作者姓名： | 崔小兵 |
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| 作者单位： | 南阳师范学院数学与统计学院,河南,南阳,473061 |
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| 基金项目： | 河南省教育厅自然科学基金资助课题，南阳师范学院教研项目 |
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| 摘 要： | 介绍了概率论中离散型、连续型和条件期望型的Jensen不等式,利用凸函数的性质、期望和条件期望的性质来证明;并应用于证明和式不等式、最小风险估计和条件期望收敛等一些问题.
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| 关 键 词： | 概率论 不等式 凸函数 证明 |
The Jensen inequalities of different conditions in probability theory and their applications |
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| CUI Xiao-bing.The Jensen inequalities of different conditions in probability theory and their applications[J].Journal of Nanyang Teachers College,2010,9(9):22-24. |
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| Authors: | CUI Xiao-bing |
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| Institution: | CUI Xiao-bing(School of Mathematics and Statistics,Nanyang Normal University,Nanyang 473061,China) |
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| Abstract: | The proof and applications are given,these are Jensen inequalities of different conditions in probability theory：discrete and continuous and conditional expectation.And the inequalities are used to solve some related problems. |
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| Keywords: | probability inequality convex function proof |
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