| 示性函数在初等概率论中的应用 |
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| 引用本文： | 欧阳顺湘.示性函数在初等概率论中的应用[J].大学数学,2021,37(1):77-81. |
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| 作者姓名： | 欧阳顺湘 |
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| 作者单位： | 哈尔滨工业大学(深圳)理学院,广东 深圳 518055 |
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| 摘 要： | 示性函数在实分析等课程中很基本且应用广泛,但在初等概率论教材里应用不多.本文举例说明示性函数可以帮助学生理解初等概率论中一些基本概念、结论并精简其中一些计算.
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| 关 键 词： | 概率论 示性函数 期望 概率 事件 分布 |
Applications of Indicator Functions in Introductary Probability Theory |
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| OUYANG Shun-xiang.Applications of Indicator Functions in Introductary Probability Theory[J].College Mathematics,2021,37(1):77-81. |
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| Authors: | OUYANG Shun-xiang |
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| Institution: | (School of Science, Harbin Institute of Technology (Shenzhen), Shenzhen Guangdong 518055, China) |
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| Abstract: | Indicator functions are ubiquitous in courses such as real analysis,but they are not used very often in introductory probability theory.We show that indicator functions can be used to interpretate some fundamental concepts,ideas and simplify some calculation in introductory probability theory course. |
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| Keywords: | indicator function probability theory expectation probability event distribution |
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