4. Handin Suppose that Y,, Y2, .,Yn constitute a random sample of size n from the density function((0 – 1)eº(-Iny),0,....0< y <1 0 > 1fole) = {® -elsewhere.4.1. Obtain the MLE for 0.4.2. Show that the MLE is MVUE by showing that it is unbiased. (Hint: do transformationW = - In Y)4.3. Is the MLE consistent?4.4. Is the MLE efficient?

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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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1. Handin Suppose that Y,, Y2, ...,Yn constitute a random sample of size n from the density function fyl®) = {(@ – 1)eº(-tny), 0, 01 elsewhere. 4.1. Obtain the MLE for 0.