(24) Consider the gamma distribution f (x) = x1ex/ () , x > 0, (2.72) with...

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(24) Consider the gamma distribution f (x) = xα−1e−x/β

βα (α)

, x > 0, (2.72)

with the following moments E(X) = αβ

EX2 = β2α(1 + α). (2.73)

2.9 Chapter Problems 85 Derive the method of moment estimators for α and β.

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