5. Suppose X1, X2,..., Xn are iid with mass function 0 P(X = x|0) = (1...

Transcribed Image Text:

5. Suppose X1, X2,..., Xn are iid with mass function 0 P(X = x|0) = (1 0)-||; x = 1, 0, 1; 0 0 1 2 a. Show that T(X1,..., Xn) 0 if x = 1 otherwise n and T(X1,, Xn) = - 1 |X| are both unbi- 1 n Li=1 ased estimators. b. Calculate the efficiency of T (X1, ..., Xn) relative to T2(X1,..., Xn). 5. Suppose X1, X2,..., Xn are iid with mass function 0 P(X = x|0) = (1 0)-||; x = 1, 0, 1; 0 0 1 2 a. Show that T(X1,..., Xn) 0 if x = 1 otherwise n and T(X1,, Xn) = - 1 |X| are both unbi- 1 n Li=1 ased estimators. b. Calculate the efficiency of T (X1, ..., Xn) relative to T2(X1,..., Xn).