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我哋跟大隊叫標準常態分佈(平均數=0 , 變異數=1)嘅CDF做。
畀咗個或然率分佈 f(x),叫佢嘅積分(CDF)做 F(x),平均數係 ,變異數係 ,攞個數n,跟住畀一拃呢個分佈嘅亂變量 X1,...,Xn。如果叫 做 嘅平均,咁
中極限定理話,喺實數線上,逐點 x 計 (point-wise convergence),就有
。
換言之,佢講呢個現象,任你畀個連續分佈,一大堆亂變量嘅平均都會趨向正態分佈。
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