10. Let Y₁, Y₂,..., Yn be random sample from the exponential distribution with mean Two0estimators are proposed for 0; 0₁ = Y(1) and 02, the maximum likelihood estimator.(a) Show that both ₁ and ₂ are biased estimators of 0.(b) Find the estimators 03 and 04 that are respective functions of 0₁ and 02 that are unbiased.(c) Find Var (03) and Var(0₁).(d) For each of 03 and 4 find their efficiency in relation to the Cramer-Rao lower bound variance.(e) A random sample available from the given population is given below:5.354 0.851 1.116 6.556 0.171 6.642 0.104 3.227 2.419 0.587i. Find estimates of Var (03) and Var(0₂)ii. Find the estimate of RE(03, 04) and comment on your result.

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Answered: 10. Let Y₁, Y₂,..., Yn be random sample…

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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10. Let Y₁, Y₂,..., Yn be random sample from the exponential distribution with mean Two 0 Ꮎ " estimators are proposed for 0; 0₁ = Y(1) and 02, the maximum likelihood estimator. (a) Show that both ₁ and 2 are biased estimators of 0.