Question: Assume X~ (0) is observed, where = {1, 2}. It is desired to test H: 0 = versus H: 0 =2 under 0-1 loss. It

Assume X~ (0) is observed, where = {1, 2}. It is desired to test H: 0 =

versus H₁: 0 =2 under "0-1" loss. It is known that a ≤ n ≤

b, where no is the prior probability of Ho. You may assume that it is only necessary to consider the most powerful tests, which have rejection regions of the form {x: x> c}.

(a) Find the I-minimax test when a =0, b = 1.

(b) Find the Г-minimax regret test when a = 0, b =1.

(c) Find the T-minimax test for arbitrary a and b (0 ≤a

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