Register to reply 
Central limit theorem 
Share this thread: 
#1
May312, 03:16 AM

P: 34

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 CentralLimit theorem:
http://physics.ucsc.edu/~peter/250/deriv_climit.pdf 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? Thanks. 


#2
May312, 04:06 AM

P: 4,572

I think the best way for you would be to look at how the moments and cumulants are defined with respect to each other: http://en.wikipedia.org/wiki/Cumulant http://en.wikipedia.org/wiki/Moment_%28mathematics%29 Specifically with regard to your question: http://en.wikipedia.org/wiki/Cumulan...ts_and_moments 


Register to reply 
Related Discussions  
Central Limit Theorem  Calculus & Beyond Homework  2  
Central Limit Theorem  Precalculus Mathematics Homework  2  
Central Limit Theorem  Calculus & Beyond Homework  0  
Central limit theorem  Calculus & Beyond Homework  2  
Central limit theorem  Calculus & Beyond Homework  4 