Suppose that a single observation X is to be drawn from the following p.d.f.: where the value

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Suppose that a single observation X is to be drawn from the following p.d.f.:
Suppose that a single observation X is to be drawn

where the value of θ is unknown (0 ‰¤ θ ‰¤ 2). Suppose also that the following hypotheses are to be tested:
H0: θ = 2,
H1: θ = 0.
Determine the test procedure δ for which α(δ) + 2β(δ) is a minimum, and calculate this minimum value.

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Probability And Statistics

ISBN: 9780321500465

4th Edition

Authors: Morris H. DeGroot, Mark J. Schervish

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