## Bayes Estimators Of Certain Probabilities

tsakanikasnickos on Thursday, November 20 2014, 04:20 PM
0

Let $$\displaystyle X_{1}, \dots , X_{n}$$ be a random sample from a Poisson distribution with parameter $$\theta$$, P($$\theta$$), where $$\theta$$ is the value of a random variable $$\Theta$$ with prior probability distribution Exp(1). If the squared-error loss function is our loss function, find the Bayes estimators $$\displaystyle d^{*}_{k}$$ of the probabilities $$\displaystyle P_{X|\Theta}(X=k) , \, k \in \mathbb{N}_{0}$$.

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