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(Solved): If X1, ..., X., ~ Iid Poisson(1). Consider The Estimator î = X (a) Show That Is A Sufficient Statis...


If X1, ..., X., ~ iid Poisson(1). Consider the estimator î = X (a) Show that is a sufficient statistic. (b) Show that û is th

If X1, ..., X., ~ iid Poisson(1). Consider the estimator î = X (a) Show that is a sufficient statistic. (b) Show that û is the UMVUE for A. (c) Show that is a consistent estimator of . (d) For i = 3, use R to generate random samples of size 10, 100, 1000, and 10000. For each sample, compute the sample mean. Compare your result to (c). (hint: use functionarpois(n,A)" to generate sample of size n from Poisson (4), and use function "mean(x)" for the mean of a vector x).


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