Let Y be ?2(n). Use the central limit theorem to

Chapter 5, Problem 4E

(choose chapter or problem)

Let \(Y\) be \(\chi^{2}(n)\). Use the central limit theorem to demonstrate that \(W=(Y-n) / \sqrt{2 n}\) has a limiting cdf that is \(N(0,1)\). Hint: Think of \(Y\) as being the sum of a random sample from a certain distribution.

Equation Transcription:

Text Transcription:

Y  

chi^2(n)  

W=(Y-n)/sqrt 2n  

N(0,1)

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