4.1 Let X1,...,Xn be iid with distribution F. (a) Characterize the totality of functions f (X1,...,Xn) which

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4.1 Let X1,...,Xn be iid with distribution F.

(a) Characterize the totality of functions f (X1,...,Xn) which are unbiased estimators of zero for the class F0 of all distributions F having a density.

(b) Give one example of a nontrivial unbiased estimator of zero when (i) n = 2 and (ii)

n = 3.

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Theory Of Point Estimation

ISBN: 9780387985022

2nd Edition

Authors: Erich L. Lehmann, George Casella

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