Suppose that X1,..., Xn are i.i.d. Poisson(0) where 0 > O is an unknown parameter. The prior T(0) on 0 is assumed to be Gamma(a, 3). Find the Bayesian estimator with respect to the loss function L(8, a) = (0 – a)². Bla +s)

MATLAB: An Introduction with Applications
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Suppose that X1,..., Xn are i.i.d. Poisson(0) where 0 > 0 is an unknown parameter. The prior T(0) on 0 is
assumed to be Gamma(a, 8).
Find the Bayesian estimator with respect to the loss function L(0, a) = (0 – a)?.
B(a + s)
n+ B
Ôbayes
s(n + a)
Ôbayes
(B + 8)(n + a)
(B + a)(n + s)
Ôbayes
(a + s)(n + B)
Transcribed Image Text:Suppose that X1,..., Xn are i.i.d. Poisson(0) where 0 > 0 is an unknown parameter. The prior T(0) on 0 is assumed to be Gamma(a, 8). Find the Bayesian estimator with respect to the loss function L(0, a) = (0 – a)?. B(a + s) n+ B Ôbayes s(n + a) Ôbayes (B + 8)(n + a) (B + a)(n + s) Ôbayes (a + s)(n + B)
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