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Column name '1 Proof of Theorem 3
1.1 Average direct eect on the never-takers
In the following, we show that n
1=E[Y1(1;0) Y1(0;0)j=n] =E[Y1 Q00(Y0)jD=
1;M= 0]. From (), we obtain the rst ingredient E[Y1(1;0)j=n] =E[Y1jD=
1;M= 0]. Furthermore, from () we have E[Q00(Y0)jD= 1;M= 0] =E[Y1(0;0)jD=
1;M(1) = 0]. Under Assumption 7 and 8,
E[Y1(0;0)jD= 1;M(1) = 0]A7=E[Y1(0;0)jD= 1;=n]
A8=E[Y1(0;0)j=n]:(1)
1.2 Quantile direct eect on the never-takers
We prove that
n
1(q) =F 1
Y1(1;0)j=n(q) F 1
Y1(0;0)j=...' is too long. It should be less than 500 characters.
Error code: TooLongColumnNameError
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