Wavelet density estimation for mixing and size-biased data

This paper considers wavelet estimation for a multivariate density function based on mixing and size-biased data. We provide upper bounds for the mean integrated squared error (MISE) of wavelet estimators. It turns out that our results reduce to the corresponding theorem of Shirazi and Doosti (Stat....

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Detalles Bibliográficos
Autores principales: Kou, Junke, Guo, Huijun
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6061530/
https://www.ncbi.nlm.nih.gov/pubmed/30137917
http://dx.doi.org/10.1186/s13660-018-1784-x
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author Kou, Junke
Guo, Huijun
author_facet Kou, Junke
Guo, Huijun
author_sort Kou, Junke
collection PubMed
description This paper considers wavelet estimation for a multivariate density function based on mixing and size-biased data. We provide upper bounds for the mean integrated squared error (MISE) of wavelet estimators. It turns out that our results reduce to the corresponding theorem of Shirazi and Doosti (Stat. Methodol. 27:12–19, 2015), when the random sample is independent.
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spelling pubmed-60615302018-08-09 Wavelet density estimation for mixing and size-biased data Kou, Junke Guo, Huijun J Inequal Appl Research This paper considers wavelet estimation for a multivariate density function based on mixing and size-biased data. We provide upper bounds for the mean integrated squared error (MISE) of wavelet estimators. It turns out that our results reduce to the corresponding theorem of Shirazi and Doosti (Stat. Methodol. 27:12–19, 2015), when the random sample is independent. Springer International Publishing 2018-07-25 2018 /pmc/articles/PMC6061530/ /pubmed/30137917 http://dx.doi.org/10.1186/s13660-018-1784-x 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
Kou, Junke
Guo, Huijun
Wavelet density estimation for mixing and size-biased data
title Wavelet density estimation for mixing and size-biased data
title_full Wavelet density estimation for mixing and size-biased data
title_fullStr Wavelet density estimation for mixing and size-biased data
title_full_unstemmed Wavelet density estimation for mixing and size-biased data
title_short Wavelet density estimation for mixing and size-biased data
title_sort wavelet density estimation for mixing and size-biased data
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6061530/
https://www.ncbi.nlm.nih.gov/pubmed/30137917
http://dx.doi.org/10.1186/s13660-018-1784-x
work_keys_str_mv AT koujunke waveletdensityestimationformixingandsizebiaseddata
AT guohuijun waveletdensityestimationformixingandsizebiaseddata

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