Question: Let Y 1 , Y 2 , . . . , Yn be a sample of n independent observations selected from a gamma distribution with

Let Y₁, Y₂, . . . , Yn be a sample of n independent observations selected from a gamma distribution with α = 1 and β = 2 . Show that the expected value and variance of the sample mean Y̅ are identical to the expected value and variance of a gamma distribution with parameters α = n and β = 2/n.

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Expected Value The expected value of Y is EY EYin n nn 12 The expected value of a gamma dist... View full answer

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