Homework : 2 Q₁ Let = (0, 1) and Q[0, 1]. Let L(0, a) = (a-0)2 and let X ~ B(n,0). Let the prioir distrin is O~ Beta(a, b) = T(a + 3) ga-1 (1-0)³-1, 0 € (0, 1), a > 0, 3 >0. г(a)(3) 1. Show that the Bayes rule is a+x d(x) = a+ẞ+n 2. Show that the maximum likelihood estimate of 0 d₁(x): rule. = x/n, is not a Bayes 3. Show that d₁(x) is a limit of Bayes rules. 4. Show that d₁(x) is generalized Bayes with respect to 0 = 7 = π(0) = 1/(0(1 − 0)). 5. Show that d₁(x) is extended Bayes.

Homework : 2 Q₁ Let = (0, 1) and Q[0, 1]. Let L(0, a) = (a-0)2 and let X ~ B(n,0). Let the prioir distrin is O~ Beta(a, b) = T(a + 3) ga-1 (1-0)³-1, 0 € (0, 1), a > 0, 3 >0. г(a)(3) 1. Show that the Bayes rule is a+x d(x) = a+ẞ+n 2. Show that the maximum likelihood estimate of 0 d₁(x): rule. = x/n, is not a Bayes 3. Show that d₁(x) is a limit of Bayes rules. 4. Show that d₁(x) is generalized Bayes with respect to 0 = 7 = π(0) = 1/(0(1 − 0)). 5. Show that d₁(x) is extended Bayes.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 78E

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