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10. Consider the following estimator for of a randon sample {X} of N (0,1) Xn if Xn n-/4 -{ aXn otherwise Tn = where

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10. Consider the following estimator for of a randon sample {X} of N (0,1) Xn if Xn n-/4 -{ aXn otherwise Tn = where Xn = X and 0 < a < 1. This estimator is proposed by Hodges. Obtain the asymptotic distribution of Tn. Compare its asympotitc variance with that of MLE of 0.

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