Bayesian Model Search for Nonstationary Periodic Time Series.

Bayesian spectral analysis Change-points Reversible-jump MCMC Sleep apnea Ultradian sleep cycles

Journal

Journal of the American Statistical Association
ISSN: 0162-1459
Titre abrégé: J Am Stat Assoc
Pays: United States
ID NLM: 01510020R

Informations de publication

Date de publication:
09 Jul 2019
Historique:
entrez: 5 4 2021
pubmed: 9 7 2019
medline: 9 7 2019
Statut: epublish

Résumé

We propose a novel Bayesian methodology for analyzing nonstationary time series that exhibit oscillatory behavior. We approximate the time series using a piecewise oscillatory model with unknown periodicities, where our goal is to estimate the change-points while simultaneously identifying the potentially changing periodicities in the data. Our proposed methodology is based on a trans-dimensional Markov chain Monte Carlo algorithm that simultaneously updates the change-points and the periodicities relevant to any segment between them. We show that the proposed methodology successfully identifies time changing oscillatory behavior in two applications which are relevant to e-Health and sleep research, namely the occurrence of ultradian oscillations in human skin temperature during the time of night rest, and the detection of instances of sleep apnea in plethysmographic respiratory traces. Supplementary materials for this article are available online.

Identifiants

pubmed: 33814652
doi: 10.1080/01621459.2019.1623043
pii: 1623043
pmc: PMC7984273
doi:

Types de publication

Journal Article

Langues

eng

Pagination

1320-1335

Subventions

Organisme : Medical Research Council
ID : MR/M013170/1
Pays : United Kingdom

Informations de copyright

© 2019 The Author(s). Published with license by Taylor & Francis Group, LLC.

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Auteurs

Beniamino Hadj-Amar (B)

Department of Statistics, University of Warwick, Coventry, UK.

Bärbel Finkenstädt Rand (BF)

Department of Statistics, University of Warwick, Coventry, UK.

Mark Fiecas (M)

Division of Biostatistics, School of Public Health, University of Minnesota, Minneapolis, MN.

Francis Lévi (F)

Warwick Medical School, University of Warwick, Coventry, UK.

Robert Huckstepp (R)

School of Life Sciences, University of Warwick, Coventry, UK.

Classifications MeSH