5. Let X1,..., X„ ~ iid N(0, T).(a) Find the MSE for the usual unbiased estimator of T:↑ = 4EX?. Show that this is unbiased and find(X; - X)?.(b) Consider the alternative estimator 8(x) = Ethe MSE.n Li=1(c) Why does it make sense for (b) to be better than (a) in this case?

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Answered: 5. Let X1,..., X„ ~ iid N(0, T). (a)…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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5. Let X1,..., X„ ~ iid N(0, T). (a) Find the MSE for the usual unbiased estimator of T: ↑ = 4E X?. Show that this is unbiased and find (X; - X)?. (b) Consider the alternative estimator 8(x) = E the MSE. n Li=1 (c) Why does it make sense for (b) to be better than (a) in this case?