Table 1:

Weights for Constructing ATE(x), TT(x), and TUT(x) from MTE(x, u)

Quantities of Interest	Weight
ATE(x)	hATE(x, u) = 1
TT(x)	$h_{\text{TT}}(x,u)=\frac{{\int }_u^1{f}_{P(Z)\mid X=x}(p)dp}{\mathbb{E}(P(Z)\mid X=x)}$
TUT(x)	$h_{\text{TUT}}(x,u)=\frac{{\int }_0^u{f}_{p(Z)\mid X=x}(p)dp}{1-\mathbb{E}(P(Z)\mid X=x)}$

Note: ATE=Average Treatment Effect; TT=Treatment Effect of the Treated; TUT=Treatment Effect of the Untreated.