I read this post on physics forum but no one had answered it. I finally found an answer and thought I should share it. The methodology might seem obvious - using the method of MGF (moment generating functions).
The MGF of Y is that of a chi-squared distribution with n degrees of freedom...
Hi, I have a question
If X1,X2,...,Xn are independent random variables having chi-square distribution witn v=1 and Yn=X1+X2+...+Xn, then the limiting distribution of
(Yn/n) - 1
Z= --------------- as n->infinity is the standard normal distribution.
sqrt(2/n)
I know that Yn has...