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On seasonal functional modeling under strong dependence, with applications to mechanically ventilated breathing activity

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2023

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Farquharson, Franziska
Kustermann, Max
Kabitz, Hans-Joachim
Walterspacher, Stephan

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Journal of Statistical Planning and Inference. Elsevier Science. 2023, 222, pp. 38-65. ISSN 0378-3758. eISSN 1873-1171. Available under: doi: 10.1016/j.jspi.2022.05.007

Zusammenfassung

Breathing effort in mechanical ventilation is commonly estimated by airway pressure. More advanced methods involve transdiaphragmatic pressure measurements (Pdi) or surface electromyography (sEMG) of the respiratory muscles. To study whether inspiratory efforts may be predicted by the noninvasive sEMG method, a model is proposed for time series with a stochastically changing periodic component. The model can be interpreted as a functional time series or a process based on a state space representation, with a flexible temporal dependence structure in the parameter process and the residuals, including long memory, short memory or antipersistence. An application to Pdi and sEMG measurements shows the potential usefulness of the method in the context of monitoring patients undergoing mechanical ventilation.

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510 Mathematik

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ISO 690BERAN, Jan, Jeremy NÄSCHER, Franziska FARQUHARSON, Max KUSTERMANN, Hans-Joachim KABITZ, Stephan WALTERSPACHER, 2023. On seasonal functional modeling under strong dependence, with applications to mechanically ventilated breathing activity. In: Journal of Statistical Planning and Inference. Elsevier Science. 2023, 222, pp. 38-65. ISSN 0378-3758. eISSN 1873-1171. Available under: doi: 10.1016/j.jspi.2022.05.007
BibTex
@article{Beran2023seaso-58130,
  year={2023},
  doi={10.1016/j.jspi.2022.05.007},
  title={On seasonal functional modeling under strong dependence, with applications to mechanically ventilated breathing activity},
  volume={222},
  issn={0378-3758},
  journal={Journal of Statistical Planning and Inference},
  pages={38--65},
  author={Beran, Jan and Näscher, Jeremy and Farquharson, Franziska and Kustermann, Max and Kabitz, Hans-Joachim and Walterspacher, Stephan}
}
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