Consider a random sample X 1 , X 2 , , X n from the Poisson distribution with mean If the prior distribution for is a gamma distribution with hyperparameters 0 and 0 , show that the posterior distribution is also gamma distributed What are its hyperparameters

Question: Consider a random sample X 1 , X 2 , , X n from the Poisson distribution with mean . If the prior distribution for

Consider a random sample X₁, X₂, …, X_nfrom the Poisson distribution with mean µ. If the prior distribution for µ is a gamma distribution with hyperparameters α₀and β₀, show that the posterior distribution is also gamma distributed. What are its hyperparameters?

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