申論題

3. Let X₁ , X₂ , X₃ , X₄ be i. i. d with the p. d. f f(x) = for 0 ＜ x ＜ θ, θ ＞ 0. Consider the test H₀ : θ = 1 vs H₁ : θ ≠ 1. Let H(3) = max{X₁ , X₂ , X₃ }. 1 The critical (rejection) region is given C = {X(3) ＜ or X(3) ＞ 1}.

(b) Find K and K(2).