Question: Let X1,..., Xn be iid with pdf f(x|) = 1/, 0 x , > 0 Estimate using both the method of

Let X1,..., Xn be iid with pdf
f(x|θ) = 1/θ, 0 ≤ x ≤ θ, θ > 0
Estimate θ using both the method of moments and maximum likelihood. Calculate the means and variances of the two estimators. Which one should be preferred and why?

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