Suppose X1,..., Xm are iid gamma random variables with parameters 1 and 0 Let X, = E X; ,let W, = log Xn ,and let Y, = 1/X Vn(X, - n0) converges in distribution to a normal distribution with mean o and variance 02 n3/2(Y, – (n0)-1) converges in distribution to a normal distribution with mean o and variance 1/0² Xn/n is not a consistent estimator for A

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