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,...

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

Extracted 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)

Jun 10, 2022

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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,...

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