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(a) Suppose that i, X2,... , In is an i.i.d. sample from Exp(1). Show that, for a standard normal random variable Z b) Show Г(n) by differencing both sides of the approximation in part a. Then set a -0 to get Stirlings Formula. 5. Suppose that Y is an id sample from Negative Binomial (n,p). Give a normal approximation of Yn use CLT, when n is large. 6. (Mandatory for Graduate Student. Extra credit for undergrad.) Let Ai, converges to a degenerate distribution at 0 as n -oo. .Xn be a i.i.d. sample from Bernoulli(p) and let Y, X -p)/n. Show that Y
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(a) Suppose that i, X2,... , In is an i.i.d. sample from Exp(1). Show that, for...
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