| 连续型随机变量函数的期望和方差的近似计算 |
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| 引用本文： | 林志周. 连续型随机变量函数的期望和方差的近似计算[J]. 河南科学, 2000, 18(1): 25-27 |
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| 作者姓名： | 林志周 |
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| 作者单位： | 河南纺织高等专科学校,河南,郑州,450007 |
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| 摘 要： | 本文利用泰勒公式将连续型随机变量函数的期望和方差的计算 ,由积分运算转化为求导运算。给出了近似计算公式 ,从而解决了可 (偏 )导的连续型随机变量函数的期望和方差的计算问题
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| 关 键 词： | 随机变量 期望 方差 近似计算 |
| 文章编号： | 1004-3918(2000)01-0025-03 |
| 修稿时间： | 1999-10-21 |
The Approximate Calculation of the Expectation and Variance of Continuous Random Variable Functions |
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| LIN Zhi-zhou. The Approximate Calculation of the Expectation and Variance of Continuous Random Variable Functions[J]. Henan Science, 2000, 18(1): 25-27 |
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| Authors: | LIN Zhi-zhou |
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| Affiliation: | LIN Zhi-zhou(Henan Textile College, Zhengzhou 450007,China) |
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| Abstract: | The calculation of the expectation and variance of continuous random variable functions is traditionally completed through integral operations. This paper holds that the integral operation can be transformed into differential operation to serve the same purpose by employing Taylor's formula. It presents the corresponding formula for approximate calculation and has solved the problem of the calculation of the expectation and variance of derivative/partially derivative continuous random functions. |
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| Keywords: | random variable expectation variance approximate calculation |
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