3. A sample of size n is to be used from the PDF f(x) = ex, x...

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3. A sample of size n is to be used from the PDF fθ(x) = θe−θx, x > 0, to test H0 : θ =1 against H1 : θ =2. If the a priori distribution on θ is π0 = 23

, π1 = 13

, and a =

b, find the Bayes solution. Find the power of the test at θ = 1 and θ = 2.

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An Introduction To Probability And Statistics

ISBN: 9781118799642

3rd Edition

Authors: Vijay K. Rohatgi, A. K. Md. Ehsanes Saleh

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