Question: Let 1 = 2, 2 = 5, 3 = 1 are identically independently distributed (iid) with Poisson () a) Compute the likelihood function (LF). b)

Let 1 = 2, 2 = 5, 3 = 1 are identically independently distributed (iid) with Poisson ()

a) Compute the likelihood function (LF).

b) Adopt the appropriate conjugate prior to the parameter (Hint: Choose hyperparameters optionally within the support of distribution).

c) Using (a) and (b), find the posterior distribution of .

d) Compute the minimum Bayesian risk estimator of .

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