# Semiparametric efficient empirical higher order influence function estimators

@article{Mukherjee2017SemiparametricEE, title={Semiparametric efficient empirical higher order influence function estimators}, author={Rajarshi Mukherjee and Whitney Newey and James M. Robins}, journal={arXiv: Statistics Theory}, year={2017} }

Robins et al. (2008, 2016b) applied the theory of higher order infuence functions (HOIFs) to derive an estimator of the mean of an outcome Y in a missing data model with Y missing at random conditional on a vector X of continuous covariates; their estimator, in contrast to previous estimators, is semiparametric efficient under minimal conditions. However the Robins et al. (2008, 2016b) estimator depends on a non-parametric estimate of the density of X. In this paper, we introduce a new HOIF…

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