Consider a random sample from a poission ditribution xipoiu

Assignment Help Basic Statistics

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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