B4090.HW2Solns - BTRY 4090 STSCI 4090 Spring 2011 Homework...

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BTRY 4090 / STSCI 4090 Spring 2011 Homework 2 Solutions 1. L&M p. 297, Question 5.2.16 2. L&M p. 297, (a) Question 5.2.20. (b) Find the maximum likelihood estimates for θ 1 and θ 2 . 3. L&M p. 309, Question 5.3.2. 4. L&M p. 311, Question 5.3.22. Note: In (a), make the simple (but incorrect) assumption that the number of successes is binomial; in (b), assume it is hypergeometric.
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5. L&M p. 311, Question 5.3.28. 6. L&M p. 316, Question 5.4.2. 7. L&M p. 316, Question 5.4.6. 8. L&M p. 317, Question 5.4.14. (a) Is 1 min ˆ nY unbiased for θ ? (b) Is 2 1 ˆ (1/ ) n i i Y n Y unbiased for θ ? In addition, (c) Find 1 ˆ Var( ) and 2 ˆ Var( ) . (d) Is 1 ˆ or 2 ˆ a better estimator for ? Why? 9. L&M p. 320, Question 5.4.18.
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