Consider again the conditions of Exercise 19. Suppose now
Chapter 9, Problem 20(choose chapter or problem)
Consider again the conditions of Exercise 19. Suppose now that we have a two-dimensional vector = (1, 2), where 1 and 2 are real-valued parameters. Suppose also that A is a particular circle in the 12-plane, and that the hypotheses to be tested are as follows: H0: A, H1: A. Show that if the test procedure is unbiased and of size , and if its power function (|) is a continuous function of , then it must be true that (|) = at each point on the boundary of the circle A.
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