| 随机多个随机变量之和的期望公式的一种新证法 |
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| 引用本文： | 和燕. 随机多个随机变量之和的期望公式的一种新证法[J]. 大学数学, 2003, 19(3): 100-101 |
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| 作者姓名： | 和燕 |
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| 作者单位： | 楚雄师范学院,云南,楚雄,675000 |
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| 摘 要： | 用随机变量之和的分布的卷积公式直接给出随机多个随机变量之和的期望公式的证明 ,避免了原有的证明过程需引入条件期望和全期望公式的麻烦 .
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| 关 键 词： | 卷积 随机变量 独立性 独立同分布 |
| 文章编号： | 1672-1454(2003)03-0100-02 |
| 修稿时间： | 2002-07-09 |
A New Approach to Prove the Expectancy Formula on the Sum of Stochastic Variables |
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| HE Yan. A New Approach to Prove the Expectancy Formula on the Sum of Stochastic Variables[J]. College Mathematics, 2003, 19(3): 100-101 |
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| Authors: | HE Yan |
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| Abstract: | This paper tries a new approach to prove the expectancy formula on the sum of stochastic variables by the distribution of the stochastic variables sum in convolution product formula to avoid the troublesome in inducing the formulas of conditional expectancy and complete expectancy. |
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| Keywords: | convolution product stochastic variables independency independent identically distributed |
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