Let X1,., Xn be iid Poisson(0). Assume the prior distribution on 0 is Gamma(a, 1/c) with pdf ca - ga-1 r(a) X(0) ,0 > 0. е Find the Bayes estimator of 0 under a squared error loss.

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6. Let X1, , Xn be iid Poisson(0). Assume the prior distribution on 0 is Gamma(a, 1/c) with
pdf
ca
A(0) =
-ce
e
,0 > 0.
I(a)
Find the Bayes estimator of 0 under a squared error loss.
Transcribed Image Text:6. Let X1, , Xn be iid Poisson(0). Assume the prior distribution on 0 is Gamma(a, 1/c) with pdf ca A(0) = -ce e ,0 > 0. I(a) Find the Bayes estimator of 0 under a squared error loss.
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