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 matrix
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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