Mathematics, 09.06.2020 23:57, Brucechavez3334

Now, in each of the following questions, argue that both proposed estimators are consistent and asymptotically normal. Then, give their asymptotic variances and decide if one of them is always bigger than the other. As above, argue that both proposed estimators p, P, and are consistent and asymptotically normal. Then, give their asymptotic variances V (p) and V (P) and decide if one of them is always bigger than the other. Let Xi,... . Xn Geom (p), for some p E (0,1). That means that P(xi k)p-p for k12, Let and p be the number of ones in the sample divided by n
A) Việ) > V (p) for all p .
B) V ()< V (P) for all p
C) V()-V (p) for all p
D) There exists P1 such that V()) > V(p) and P, such that Vウ< V(F)

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Now, in each of the following questions, argue that both proposed estimators are consistent and asym...