ENEE 621: Estimation and Detection Theory
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چکیده
y=1 φ(y) = 0, θ ∈ {1, 2, . . .}, i.e., φ(y) = 0, y ∈ {1, 2 . . .}. Consequently, if g : IR → IR is an unbiased estimator of θ on the basis of Y , it is “essentially unique”: if g̃ : IR → IR is another unbiased estimator, then it must hold by the completeness of {U(1, . . . , θ), θ ∈ {1, 2 . . .}} that g̃(Y ) = g(Y ) Pθ-a.s. θ ∈ {1, 2, . . .}, whence g̃(y) = g(y), y ∈ {1, 2, . . .}. Next, Eθ[g(Y )] = θ, θ ∈ {1, 2, . . .}, implies that
منابع مشابه
Enee 621: Estimation and Detection Theory
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