**Problem (12): Let X1, X2 be a random sample of size n = 2 from the exponentialprobability density function (pdf) with an unknown parameter 0 given as follows:f (x; θ) -e ex > 0; 0> 0%3DotherwiseConsider the following two estimators for the unknown parameter 0:Ô, = T,(X,,X,) = X%3DÔ2 = T2(X1, X2) = -X,X2%3D%3Dthen show that 0, is more efficient than 0, for estimating 0?2

Answered: Image /qna-images/answer/0db07faa-a19d-4796-8711-10147b668331.jpg

**Problem (12): Let X1, X2 be a random sample of size n = 2 from the exponential probability density function (pdf) with an unknown parameter 0 given as follows: f(x; 0) = {0 x > 0; 0>0 e otherwise Consider the following two estimators for the unknown parameter 0: Ô, = T, (X1, X2) = X 4 Ô2 = T2 (X1, X2) =-X,X2 T then show that 0, is more efficient than 02 for estimating 0?

**Problem (12): Let X1, X2 be a random sample of size n = 2 from the exponential probability density function (pdf) with an unknown parameter 0 given as follows: f(x; 0) = {0 x > 0; 0>0 e otherwise Consider the following two estimators for the unknown parameter 0: Ô, = T, (X1, X2) = X 4 Ô2 = T2 (X1, X2) =-X,X2 T then show that 0, is more efficient than 02 for estimating 0?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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