Answered: Let X1, . . . , Xn a random sample from…

Let X1, . . . , Xn a random sample from a Uniform distribution on the interval [0, 2θ + 1]. (a) Find the MLE of θ. (b) Find the MLE for the variance of the distribution of Xi .

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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Question

Let X1, . . . , Xn a random sample from a Uniform distribution on the interval [0, 2θ + 1].
(a) Find the MLE of θ.
(b) Find the MLE for the variance of the distribution of Xi
.

Expert Solution

Step 1

Given

X~U[0,2θ+1]

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