Estimators πΛ,πΛ, are consistent and asymptotically normal.
Let π1,β¦,ππβΌπ.π.π.π¦πΎππ(π) , for some πβ(0,1) .
That means that π(π1=π)=π(1βπ)πβ1,for π=1,2,β¦.
Let πΛ = 1/ππ,
and πΛ be the number of ones in the sample divided by π .
Find asymptotic variances π(πΛ) and π(πΛ)