Question: Let Xi,...,Xn be n independent, identically distributed random variables, distributed uniformly on the integers, 1 ,2,...,TV, where N is unknown. Show that T = m

Let Xi,...,Xn be n independent, identically distributed random variables, distributed uniformly on the integers, 1 ,2,...,TV, where N is unknown. Show that T = m a x ^ G ,...,^ ) is a sufficient estimator for N.

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