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Suppose that Y, Y2,... are iid Poi(A) random variables. Note that if Y~Poi(A), E(Y) = and Var(Y) = . (a) Find a consistent estimator

Suppose that Y, Y2,... are iid Poi(A) random variables. Note that if Y~Poi(A), E(Y) = and Var(Y) = \. (a) Find a consistent estimator of \. (b) Find a consistent estimator of X. (c) Find a unbiased estimator of X2. Refer to Q2 of HW5. (d) Discuss the estimators in (b) and (c). Which one is easier to find?

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