均匀离散型随机变量条件数学期望的有限Fourier级数表示

The Representation of Finite Fourier Series for Conditional Mathematical Expectation of Discrete Random Variable

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.

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）.