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Suppose that X1, ...,Xn are iid Uniform[θ, 100] random variables. Find the MLE of θ. Is it possible for us to calculate Fisher Information for this sample, under the assumptions we mentioned in class? If not, which of the the assumptions are violated and how?
Basic assumptions:
(A1) X ∼ f(X|θ), θ ∈ ? ⊂R
(A2) f(x|θ) > 0 for x ∈ S, θ ∈ ?, where the domain S does not depend on θ
(A3) f(x|θ) is twice di?erentiable as a function of θ.
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