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3. (5+5+5 pts}. Let Y1, Y2, . . . YR be a random sample from a Poisson) distribution. a) Find the maximum likelihood estimator for

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3. (5+5+5 pts}. Let Y1, Y2, . . . YR be a random sample from a Poisson) distribution. a) Find the maximum likelihood estimator for I9. b) Show that the estimator from part (a) is unbiased and a consistent estimator for 6". C) Show that the sample variance Si2 is also an unbiased and consistent estimator for 6"

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