Hi, I have a question(adsbygoogle = window.adsbygoogle || []).push({});

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 chi-square distribution with v=n, but how to proceed.

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# Chi-square to standard normal distribution

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