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Theory of Probability and Its Applications
Article . 1993 . Peer-reviewed
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https://dx.doi.org/10.1137/113...
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https://dx.doi.org/10.1137/113...
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On the Consistency of the $L_P $-Isotonic Regression

On the consistency of the \(L_ p\)-isotonic regression
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1993 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:Theory of Probability & Its Applications, volume 37, pages 129-132 (issn: 0040-585X, eissn: 1095-7219, Copyright policy )
Authors: Cuesta, J. A.; Domínguez, J. S.; Matrán, C.;

doi: 10.1137/1137028

On the Consistency of the $L_P $-Isotonic Regression

Abstract

In this paper we study the consistency of the empirical monotonic p-regression of a p-integrable, $1 \leqq p < \infty $, function both in pointwise convergence and in convergence of empirical p-norms.

Keywords

Density estimation, Linear inference, regression, consistency, Asymptotic properties of nonparametric inference, isotonic regression, \(Lp\)-regression

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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!
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