Question: Let X1, ...,Xn be a random sample from a N(,2) distribution with 2 known. Show that the estimator T of , defined as T(X1, ...,Xn)

Let X1, ...,Xn be a random sample from a N(θ,σ2) distribution with σ2 known.

Show that the estimator T of θ, defined as T(X1, ...,Xn) ≡ 3 (T = 3 regardless of the observations), is admissible.

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