Book: Probability and Statistical Inference (9th & 10th edition respectively) Chapter 8: Tests of Statistical Hypotheses...

Book: Probability and Statistical Inference (9th & 10th edition respectively)

Chapter 8: Tests of Statistical Hypotheses

Section 8.6 [Best Critical Regions]: Problem 8 (9th Edition) OR Section 8.7 [Best Critical Regions]: Problem 8 (10th Edition)

Here's Q.8. below,

Consider a random sample X₁,X₂,...,X_n from a distribution with pdf f(x; θ) = θ(1 − x)^θ−1, 0 < x < 1, where 0 < θ. Find the form of the uniformly most powerful test of H₀: θ = 1 against H₁: θ > 1.

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orchestra answered 10 months ago

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