On the convergence rates of kernel estimator and hazard estimator for widely dependent samples

In this paper, we establish a Bernstein-type inequality for widely orthant dependent random variables, and obtain the rates of strong convergence for kernel estimators of density and hazard functions, under some suitable conditions.

Detalles Bibliográficos
Autores principales: Li, Yongming, Zhou, Yong, Liu, Chao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5882648/
https://www.ncbi.nlm.nih.gov/pubmed/29628747
http://dx.doi.org/10.1186/s13660-018-1659-1
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author Li, Yongming
Zhou, Yong
Liu, Chao
author_facet Li, Yongming
Zhou, Yong
Liu, Chao
author_sort Li, Yongming
collection PubMed
description In this paper, we establish a Bernstein-type inequality for widely orthant dependent random variables, and obtain the rates of strong convergence for kernel estimators of density and hazard functions, under some suitable conditions.
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spelling pubmed-58826482018-04-05 On the convergence rates of kernel estimator and hazard estimator for widely dependent samples Li, Yongming Zhou, Yong Liu, Chao J Inequal Appl Research In this paper, we establish a Bernstein-type inequality for widely orthant dependent random variables, and obtain the rates of strong convergence for kernel estimators of density and hazard functions, under some suitable conditions. Springer International Publishing 2018-04-03 2018 /pmc/articles/PMC5882648/ /pubmed/29628747 http://dx.doi.org/10.1186/s13660-018-1659-1 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Li, Yongming
Zhou, Yong
Liu, Chao
On the convergence rates of kernel estimator and hazard estimator for widely dependent samples
title On the convergence rates of kernel estimator and hazard estimator for widely dependent samples
title_full On the convergence rates of kernel estimator and hazard estimator for widely dependent samples
title_fullStr On the convergence rates of kernel estimator and hazard estimator for widely dependent samples
title_full_unstemmed On the convergence rates of kernel estimator and hazard estimator for widely dependent samples
title_short On the convergence rates of kernel estimator and hazard estimator for widely dependent samples
title_sort on the convergence rates of kernel estimator and hazard estimator for widely dependent samples
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5882648/
https://www.ncbi.nlm.nih.gov/pubmed/29628747
http://dx.doi.org/10.1186/s13660-018-1659-1
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