Find the Maximum Likelihood Estimator (MLE) of θ.
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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- Define a random variable X as the proportion of voters in various districts that support Republican candidates for local offices. Research suggests that the
pdf of x is f(x) = θxθ-1 , where 0 < x < 1 and θ > 0. To estimate the parameter θ, a random sample of 10 districts was obtained, and their proportions of Republican support are: 0.42, 0.69, 0.40, 0.55, 0.66, 0.37, 0.63, 0.47, 0.44, 0.57. Find the Maximum Likelihood Estimator (MLE) of θ.
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