Question

Problem 26, please.

303 /629 | (-) (+) | 139% | II are taken. The X2 (i-1,2) are independent of each other, and also of the XI(i 1,2). (The four observations are taken from different components.) It is decided that a reasonable noninformative prior for the situation is Find reasonable Bayesian estimates of o, and e 25. Find the 100(1-α)% HPD credible set in Exercise (a) 7, (b) 11, 12(c), (d) 14 (when 2,-., x, -I. (e) 15(a) (when n 3, x), (f) 16(b) (when n 2), (e) 16(c). 26. A large shipment of parts is received, out of which five are tested for defects. The number of defective parts, X, is assumed to have a 3(5, e) distribution From past shipments, it is known that e has a Bel, 9) prior distribution. Find the 95% HPD credible set for , if x-0 is observed. 27. The weekly number of fires, X, in a town has a P(6) distribution. It is desired to find a 90% HPD credible set for θ. Nothing is known a priori about 6, so the noninformative prior π(6) θ-11(0,00)(6) is deemed appropriate. The number of fires observed for five weekly periods was 0, 1, 1,0, 0. What is the desired credible set?

Answer 1

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