Suppose Xi and X2 are iid from 0, otherwise, where θ 0, and consider testing Ho : θ 1 versus H1 :...

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Suppose Xi and X2 are iid from 0, otherwise, where θ 0, and consider testing Ho : θ 1 versus H1 : θ 1 . We have two tests: wh

math Statistics-And-Probability

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Answer 1

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θ--1dx-1-(0.9). (a) A(θ)-P(Xi > 0.919) Transform X →Y u,here 0.9 The pdf of Y is 0 otherwise 2edy 0 [since X1 and X2 are ind

or, 24(r1r2) > k or, r1r2 > c Hence most power ful critical region is {(xi, r2) : xir2 > c which is same as critical region f

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Suppose Xi and X2 are iid from 0, otherwise, where θ 0, and consider testing Ho : θ 1 versus H1 :...

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