Consider a random sample X1, . . . , Xn from the uniform distribution U(−θ, θ) with parameter θ > 0  (1) Find the MLE of θ. (2) Find the MLE of the variance of the population distribution (you can use, without proof, what the mean and the variance of the uniform distribution are).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Consider a random sample X1, . . . , Xn from the uniform distribution U(−θ, θ) with parameter θ > 0
 (1) Find the MLE of θ.
(2) Find the MLE of the variance of the population distribution (you can use, without proof, what the mean and the variance of the uniform distribution are).

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