| 均匀离散型随机变量条件数学期望的有限Fourier级数表示 |
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| 引用本文： | 陈乃辉. 均匀离散型随机变量条件数学期望的有限Fourier级数表示[J]. 广西师范学院学报（自然科学版）, 2008, 0(1): 1-3 |
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| 作者姓名： | 陈乃辉 |
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| 作者单位： | [1]中央财经大学数学系,北京100081; [2]北京工业大学应用数理学院,北京100022 |
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| 摘 要： | 在随机变量X的分布函数为N阶均匀阶跃函数的情形下，获得了：（1）随机变量函数f（x）的Fourier级数表示；（2）条件数学期望E（Y｜X）的Fourier级数表示．
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| 关 键 词： | Fourier级数表示 条件数学期望 HILBERT空间 均匀阶跃 |
The Representation of Finite Fourier Series for Conditional Mathematical Expectation of Discrete Random Variable |
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| CHEN Nai-hui. The Representation of Finite Fourier Series for Conditional Mathematical Expectation of Discrete Random Variable[J]. Journal of Guangxi Teachers College(Natural Science Edition), 2008, 0(1): 1-3 |
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| Authors: | CHEN Nai-hui |
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| Affiliation: | CHEN Nai-hui (1. Department of Mathematics, the Central University of Finance and Economics, Beijing 100081, China;2. College of Applied Sciences,Beijing University of Technology, Beijing 100022, China) |
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| Abstract: | When distribution function of random variable X is N order uniform step, the obtained resuits in the paper are as follows, （1） the representation of Fourier series for function of random variable f （X） ;（2） the representation of Fourier series for conditional mathematical expectation E（ Y｜X）. |
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| Keywords: | representation of Fourier series conditional mathematical expectation Hilbert space uniform step |
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