Nonparametric (smoothed) likelihood and integral equations

Piet Groeneboom

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arXiv · 1205.1984

Nonparametric (smoothed) likelihood and integral equations

Piet Groeneboom

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Abstract

We show that there is an intimate connection between the theory of nonparametric (smoothed) maximum likelihood estimators for certain inverse problems and integral equations. This is illustrated by estimators for interval censoring and deconvolution problems. We also discuss the asymptotic efficiency of the MLE for smooth functionals in these models.

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Piet Groeneboom. 2013-08-10. Nonparametric (smoothed) likelihood and integral equations. https://arxiv.org/abs/1205.1984

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