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Identifying the recurrence of sleep apnea using a harmonic hidden Markov model
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Hadj-Amar, Beniamino, Finkenstädt, Bärbel, Fiecas, Mark and Huckstepp, Robert T. R. (2021) Identifying the recurrence of sleep apnea using a harmonic hidden Markov model. The Annals of Applied Statistics, 15 (3). pp. 1171-1193. doi:10.1214/21-AOAS1455
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Official URL: https://doi.org/10.1108/TLDR-06-2021-001410.1214/2...
Abstract
We propose to model time-varying periodic and oscillatory processes by means of a hidden Markov model where the states are defined through the spectral properties of a periodic regime. The number of states is unknown along with the relevant periodicities, the role and number of which may vary across states. We address this inference problem by a Bayesian nonparametric hidden Markov model assuming a sticky hierarchical Dirichlet process for the switching dynamics between different states while the periodicities characterizing each state are explored by means of a trans-dimensional Markov chain Monte Carlo sampling step. We develop the full Bayesian inference algorithm and illustrate the use of our proposed methodology for different simulation studies as well as an application related to respiratory research which focuses on the detection of apnea instances in human breathing traces.
| Item Type: | Journal Article | |||||||||
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| Subjects: | Q Science > QA Mathematics R Medicine > RC Internal medicine |
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| Divisions: | Faculty of Science > Life Sciences (2010- ) Faculty of Science > Statistics |
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| SWORD Depositor: | Library Publications Router | |||||||||
| Library of Congress Subject Headings (LCSH): | Sleep apnea syndromes, Sleep apnea syndromes -- Statistical methods , Markov processes -- Numerical solutions , Monte Carlo method , Bayesian statistical decision theory | |||||||||
| Journal or Publication Title: | The Annals of Applied Statistics | |||||||||
| Publisher: | Institute of Mathematical Statistics | |||||||||
| ISSN: | 1932-6157 | |||||||||
| Official Date: | September 2021 | |||||||||
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| Volume: | 15 | |||||||||
| Number: | 3 | |||||||||
| Page Range: | pp. 1171-1193 | |||||||||
| DOI: | 10.1214/21-AOAS1455 | |||||||||
| Status: | Peer Reviewed | |||||||||
| Publication Status: | Published | |||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||
| RIOXX Funder/Project Grant: |
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