Question

Problem 2.2 Suppose observations will be taken from a uniform distribution on the interval [e-0.5, e+ 0.5] where the value of θ is unknown, and the prior distribution of θ is a uniform distribution on the interval [10,20] a) If a single observation is selected and yields x-11, determine the posterior distribution of. ξ(9111) b) Ifn - 4 bservations are selected and yield data: 11, 11.5, 11.7, 10.9 then determine the posterior distribution of 0. ξ(θ| 11,1 15,1 1.7, 10.9) c) Referring to the previous part, given the Bayesian estimate of θ under squared- error loss. n Bayesian

Answer 1