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单词 Central Limit Theorem
释义

Central Limit Theorem

A fundamental theorem of statistics connects the distribution of a growing sample from a given distribution with the normal distribution. Formally, let X1, X2, X3,…be a sequence of independent, identically distributed random variables with mean μ and finite variance σ2, and let

Then, as n increases, the distribution of Zn converges in distribution to the standard normal distribution with mean 0 and variance 1.

It implies that for a large sample the sample mean has approximately the normal distribution with mean μ and variance σ2/n.

http://onlinestatbook.com/stat_sim/sampling_dist/index.html

An applet that lets you define the population and then take multiple samples of different sizes to explore the behaviour of the Central Limit Theorem.

随便看

 

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更新时间:2025/4/28 23:58:59