Suppose y1, ...,yn are independentobservationsfromaPoissondistributionwithmeanparam- eter . WithaBayesianapproach,weuseagamma(k,) priordistributionfor . Then,find the posteriordistributionfor and giveitsapproximatemeanforlarge n.

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Suppose y1, ...,yn are independentobservationsfromaPoissondistributionwithmeanparam-

eter μ. WithaBayesianapproach,weuseagamma(k,λ) priordistributionfor μ. Then,find the posteriordistributionfor μ and giveitsapproximatemeanforlarge n. (Thegammaisthe conjugate priordistributionforestimatingthePoissonparameter.)

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