正态分布的概率密度函数的推导.pdf

正态分布的概率密度函数的推导

An interesting question was posed in a Statistics assignment which was to show that the standard normal

distribution was valid - ie the integral from negative infinity to infinity equated to one and in doing so

showed the derivation of the part of the normal pdf

A friend of mine and I decided to try to derive the normal pdf and the thinking went along the lines of the central limit

theorem which states that the mean of any probability distribution becomes normal as the number of trials

increases.

The derivation of this is well known. but we asked ourselves how the normal distribution was

first achieved. There is another 'normal' derivation which is the binomial approximation and it is through this

这个推导是众所周知的。 但我们问自己如何正态分布首次实现。

和它是通过这个方向，我们想知道如何从二项式正态分布为

有另一种 正常”的推导，这是二项式近似

n 变大。

因此，我们将采取的一般方法是一个二项分布，再增加样本 N.的数量

）

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