[問題] Uniformly most powerful test

[b218h (Gordon Mercer)]

Let Y_1 < Y_2 <...< Y_n be the order statistics from uniform (θ,θ+1). Using

the appropriate uniformly most powerful one－sided test. show that the optimum

lower confidence limit is
                                                   n
              T_α＝max(Y_1－c,Y_n－1) where (1－c) ＝1－α


我想利用 Neymann Pearson Lemma 可是我不知道那個 monoton increasing function 長

什麼樣子...




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