Gw mau tau Lyapunov condition dari Central limit theorem. Jelasin dalam bahasa sunda

Let Xn be a sequence of independent random variables defined on the same probability space. Assume that Xn has finite expected value μn and finite standard deviation σn. We define

Assume that the third central moments

are finite for every n, and that

(This is the Lyapunov condition).

We again consider the sum Sn=X1+...+Xn. The expected value of Sn is mn = ∑i=1..nμi and its standard deviation is sn. If we normalize Sn by setting

then the distribution of Zn converges towards the standard normal distribution N(0,1) as above.