Find a function of for which the amount of information is


Find a function of θ for which the amount of information is independent of θ, when Pθ is

(a) the Poisson distribution P(θ) with θ > 0;

(b) the binomial distribution Bi(θ, r) with θ ∈ (0, 1);

(c) the gamma distribution Γ(α, θ) with θ > 0.

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Basic Statistics: Find a function of for which the amount of information is
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