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Consider a random sample from a poission ditribution, Xi~POI(u).

a) Show that Yn=e^(-Xnbar)converges stochastically to P[X=0]=e^-u.

b) Find the assymptotic normal distribution of Yn.

c) Show that Xnbar exp(-Xnbar) converges stochastically to P[X=1]=ue^(-u).

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M9982014

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