Question: 9. Suppose (X1, . . . , Xn) is a random sample of n independent observations from a population having p.d.f. f(x) = 1

9. Suppose (X1, . . . , Xn) is a random sample of n independent observations from a population having p.d.f.

f(x) =

1

θ , 0 ≤ x ≤ θ

0, otherwise Find the MLE of θ. If ˆθ is the MLE of θ, then show that ˆθ is not unbiased for θ.

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