Let X1, X2,..., X, be a random sample from a population r.v. X - N(0,0²), with oto be known.(a) Show that T =X; is a sufficient statistic. What is the distribution of T?i=1(b) Find an MLE for 0.(c) Using the distribution of T, argue that the MLE from (b) is the MVUE for 0.

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Answered: (a) Show that T = ) X; is a sufficient…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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(a) Show that T = ) X; is a sufficient statistic. What is the distribution of T? i=1 (b) Find an MLE for 0. (c) Using the distribution of T, argue that the MLE from (b) is the MVUE for 0.