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Canadian Journal of Statistics
Article . 2016 . Peer-reviewed
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Article . 2016
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Kernel density estimation with Berkson error

Authors: Long, James P.; El Karoui, Noureddine; Rice, John A.;

Kernel density estimation with Berkson error

Abstract

AbstractGiven a sample from we construct kernel density estimators for , the convolution of with a known error density . This problem is known as density estimation with Berkson error and has applications in epidemiology and astronomy. Little is understood about bandwidth selection for Berkson density estimation. We compare three approaches to selecting the bandwidth both asymptotically, using large‐sample approximations to the , and at finite samples, using simulations. Our results highlight the relationship between the structure of the error and the optimal bandwidth. In particular the results demonstrate the importance of smoothing when the error term is concentrated near 0. We propose a data‐driven bandwidth estimator and test its performance on NO exposure data. The Canadian Journal of Statistics 44: 142–160; 2016 © 2016 Statistical Society of Canada

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Keywords

FOS: Computer and information sciences, Berkson error, multivariate density estimation, Methodology (stat.ME), Density estimation, Asymptotic properties of nonparametric inference, kernel density estimation, Applications of statistics to environmental and related topics, Characterization and structure theory for multivariate probability distributions; copulas, bandwidth selection, measurement error, Statistics - Methodology

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
bronze