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Let X1, ... , Xn be a sample of iid Gamma(?, 1) random variables with ?...

  1. Let X1, ... , Xn be a sample of iid Gamma(?, 1) random variables with ? ∈ (0, ∞).

    1. a) Determine the likelihood function L(?).

    2. b) Use the Fisher–Neyman factorization theorem to determine a

      sufficient statistic S for ?.

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