因为每一条数据都服从IID原则:
根据中心极限定理,当数据增加的时候,样本均值的分布慢慢变成正态分布
不管分布式什么分布,累加起来都是高斯分布
As sum increases, sum of non-Gaussian, finite variance variables is also Gaussian
为什么要累加?因为Y出现的概率等于n个小y出现的概率相乘
p(Y)=累加p(yi)
In probability theory, the central limit theorem (CLT) establishes that, in some situations, when independent random variables are added, their properly normalized sum tends toward a normal distribution