The wild bootstrap for multivariate Nelson–Aalen estimators

We rigorously extend the widely used wild bootstrap resampling technique to the multivariate Nelson–Aalen estimator under Aalen’s multiplicative intensity model. Aalen’s model covers general Markovian multistate models including competing risks subject to independent left-truncation and right-censor...

Descripción completa

Detalles Bibliográficos
Autores principales: Bluhmki, Tobias, Dobler, Dennis, Beyersmann, Jan, Pauly, Markus
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6323102/
https://www.ncbi.nlm.nih.gov/pubmed/29512005
http://dx.doi.org/10.1007/s10985-018-9423-x
_version_ 1783385692306407424
author Bluhmki, Tobias
Dobler, Dennis
Beyersmann, Jan
Pauly, Markus
author_facet Bluhmki, Tobias
Dobler, Dennis
Beyersmann, Jan
Pauly, Markus
author_sort Bluhmki, Tobias
collection PubMed
description We rigorously extend the widely used wild bootstrap resampling technique to the multivariate Nelson–Aalen estimator under Aalen’s multiplicative intensity model. Aalen’s model covers general Markovian multistate models including competing risks subject to independent left-truncation and right-censoring. This leads to various statistical applications such as asymptotically valid confidence bands or tests for equivalence and proportional hazards. This is exemplified in a data analysis examining the impact of ventilation on the duration of intensive care unit stay. The finite sample properties of the new procedures are investigated in a simulation study. ELECTRONIC SUPPLEMENTARY MATERIAL: The online version of this article (10.1007/s10985-018-9423-x) contains supplementary material, which is available to authorized users.
format Online
Article
Text
id pubmed-6323102
institution National Center for Biotechnology Information
language English
publishDate 2018
publisher Springer US
record_format MEDLINE/PubMed
spelling pubmed-63231022019-01-22 The wild bootstrap for multivariate Nelson–Aalen estimators Bluhmki, Tobias Dobler, Dennis Beyersmann, Jan Pauly, Markus Lifetime Data Anal Article We rigorously extend the widely used wild bootstrap resampling technique to the multivariate Nelson–Aalen estimator under Aalen’s multiplicative intensity model. Aalen’s model covers general Markovian multistate models including competing risks subject to independent left-truncation and right-censoring. This leads to various statistical applications such as asymptotically valid confidence bands or tests for equivalence and proportional hazards. This is exemplified in a data analysis examining the impact of ventilation on the duration of intensive care unit stay. The finite sample properties of the new procedures are investigated in a simulation study. ELECTRONIC SUPPLEMENTARY MATERIAL: The online version of this article (10.1007/s10985-018-9423-x) contains supplementary material, which is available to authorized users. Springer US 2018-03-06 2019 /pmc/articles/PMC6323102/ /pubmed/29512005 http://dx.doi.org/10.1007/s10985-018-9423-x Text en © The Author(s) 2018 Open AccessThis 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 Article
Bluhmki, Tobias
Dobler, Dennis
Beyersmann, Jan
Pauly, Markus
The wild bootstrap for multivariate Nelson–Aalen estimators
title The wild bootstrap for multivariate Nelson–Aalen estimators
title_full The wild bootstrap for multivariate Nelson–Aalen estimators
title_fullStr The wild bootstrap for multivariate Nelson–Aalen estimators
title_full_unstemmed The wild bootstrap for multivariate Nelson–Aalen estimators
title_short The wild bootstrap for multivariate Nelson–Aalen estimators
title_sort wild bootstrap for multivariate nelson–aalen estimators
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6323102/
https://www.ncbi.nlm.nih.gov/pubmed/29512005
http://dx.doi.org/10.1007/s10985-018-9423-x
work_keys_str_mv AT bluhmkitobias thewildbootstrapformultivariatenelsonaalenestimators
AT doblerdennis thewildbootstrapformultivariatenelsonaalenestimators
AT beyersmannjan thewildbootstrapformultivariatenelsonaalenestimators
AT paulymarkus thewildbootstrapformultivariatenelsonaalenestimators
AT bluhmkitobias wildbootstrapformultivariatenelsonaalenestimators
AT doblerdennis wildbootstrapformultivariatenelsonaalenestimators
AT beyersmannjan wildbootstrapformultivariatenelsonaalenestimators
AT paulymarkus wildbootstrapformultivariatenelsonaalenestimators

Ejemplares similares