Question: Take the linear equation Y X0e and consider the following estimators of . 1. b : 2SLS using the instruments Z1. 2. e :

Take the linear equation Y Æ X0¯Åe and consider the following estimators of ¯.

1. b¯ : 2SLS using the instruments Z1.

2. e¯ : 2SLS using the instruments Z2.

3. ¯ : GMMusing the instruments Z Æ (Z1,Z2) and the weight matrixW = (ZZ) 0 0 (Z2Z2) (1-1) for 1 (0,1). Find an

W = (ZZ) 0 0 (Z2Z2) (1-1) for 1 (0,1). Find an expression for which shows that it is a specific weighted average of B and B.

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