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Competitive Stats
Q146Section III (Statistics)146 of 190

The gamma family is the conjugate prior for a Poisson mean

Let X be a Poisson random variable with parameter θ=E(X)\theta=E(X), 0<θ<∞0<\theta<\infty. Consider the Bayesian procedure for estimation of θ\theta. Then, the conjugate prior for θ\theta:

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