Let Y 1 , Y 2 , , Y n be a random sample from a gamma pdf with parameters r and , where the prior distribution assigned to is the gamma pdf with parameters s and Let W Y 1 Y 2 Y n Find the posterior pdf for

Question: Let Y 1 , Y 2 , . . . , Y n be a random sample from a gamma pdf with parameters r and

Let Y₁, Y₂, . . . , Y_n be a random sample from a gamma pdf with parameters r and θ, where the prior distribution assigned to θ is the gamma pdf with parameters s and μ. Let W = Y₁ + Y₂ +・・・+ Y_n. Find the posterior pdf for θ.

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