|May3-12, 03:16 AM||#1|
Central limit theorem
Hello. This is the most closely matching forum I found for this, so I hope my question fits here. I was looking at the following proof of the Central-Limit theorem:
and after Eq. (10) it says: "Expanding out the exponential in the last expression and comparing
powers of k one finds that the first few cumulants are..."
but I don't see how the equalities in the next lines stem from it.
Could someone please explicitly show that?
|May3-12, 04:06 AM||#2|
I think the best way for you would be to look at how the moments and cumulants are defined with respect to each other:
Specifically with regard to your question:
|central limit, generating function, probability, sum|
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