6. Suppose that the statistical model is given by fo(1) fo(2) fo(3) fol(4) θ=a11/3 1/6 1/3 1/6 0-b 1/21/4 1/8 1/8 and that the priors is given by π(a) = 1/3,π(b) = 2/3 and we observe the sample (x1両,xs) = (1, i, 3). (a) (5 marks) Determine the posterior of (c) (5 marks) Determine the MAP estimate of θ (d) (5 marks) Determine the relative belief estimate of θ 6. Suppose that the statistical model is given by fo(1) fo(2) fo(3) fol(4) θ=a11/3 1/6 1/3 1/6 0-b 1/21/4 1/8 1/8 and that the priors is given by π(a) = 1/3,π(b) = 2/3 and we observe the sample (x1両,xs) = (1, i, 3). (a) (5 marks) Determine the posterior of (c) (5 marks) Determine the MAP estimate of θ (d) (5 marks) Determine the relative belief estimate of θ
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