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Substituting these expressions into the previous step and cancelingfR(r)yields E{∆e(d,z)−∆ oα(d,z)|R}=0

We apply Bayes’ rule to rewrite δo y(r):=f R(r|S=o,Y=y)= Pr(Y=y,S=o|R=r)f R(r) Pr(Y=y,S=o) , δe d,z(r):=f R(r|S=e,D=d,Z=z)= Pr(D=d,Z=z,S=e|R=r)f R(r) Pr(D=d,Z=z,S=e) · 2023

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Program Evaluation with Remotely Sensed Outcomes

econ.EM · 2024-11-17 · unverdicted · novelty 7.0

The authors derive a nonparametric identification formula for the average treatment effect that combines experimental data with observational data on a post-outcome remotely sensed proxy and provide n^{-1/2} inference robust to misspecification.

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  • Program Evaluation with Remotely Sensed Outcomes econ.EM · 2024-11-17 · unverdicted · none · ref 26

    The authors derive a nonparametric identification formula for the average treatment effect that combines experimental data with observational data on a post-outcome remotely sensed proxy and provide n^{-1/2} inference robust to misspecification.