A unifying approach for doubly-robust $\ell_1$ regularized estimation of causal contrasts

7 Apr 2019Ezequiel SmuclerAndrea RotnitzkyJames M. Robins

We consider inference about a scalar parameter under a non-parametric model based on a one-step estimator computed as a plug in estimator plus the empirical mean of an estimator of the parameter's influence function. We focus on a class of parameters that have influence function which depends on two infinite dimensional nuisance functions and such that the bias of the one-step estimator of the parameter of interest is the expectation of the product of the estimation errors of the two nuisance functions... (read more)

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