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Super Learner Based Conditional Density Estimation with Application to Marginal Structural Models

Díaz Muñoz Iván and J. van der Laan Mark

The International Journal of Biostatistics, 2011, vol. 7, issue 1, 1-20

Abstract: In this paper, we present a histogram-like estimator of a conditional density that uses cross-validation to estimate the histogram probabilities, as well as the optimal number and position of the bins. This estimator is an alternative to kernel density estimators when the dimension of the covariate vector is large. We demonstrate its applicability to estimation of Marginal Structural Model (MSM) parameters in which an initial estimator of the exposure mechanism is needed. MSM estimation based on the proposed density estimator results in less biased estimates, when compared to estimates based on a misspecified parametric model.

Keywords: causal inference; conditional density; cross validation; efficient estimation; marginal structural models; oracle selector (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (5)

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DOI: 10.2202/1557-4679.1356

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The International Journal of Biostatistics is currently edited by Antoine Chambaz, Alan E. Hubbard and Mark J. van der Laan

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