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Beyond long memory in heart rate variability: an approach based on fractionally integrated autoregressive moving
Argentina Leite1, Ana Paula Rocha, Maria Eduarda Silva
1Departamento de Matemática, Escola de Cie^ncias e Tecnologia, Universidade de Trás-os-Montes e Alto Douro and CM-UTAD, Portugal.
Abstract:
Heart Rate Variability (HRV) series exhibit long memory and time-varying conditional variance. This work considers the Fractionally Integrated AutoRegressive Moving Average (ARFIMA) models with Generalized AutoRegressive Conditional Heteroscedastic (GARCH) errors. ARFIMA-GARCH models may be used to capture and remove long memory and estimate the conditional volatility in 24 h HRV recordings. The ARFIMA-GARCH approach is applied to fifteen long term HRV series available at Physionet, leading to the discrimination among normal individuals, heart failure patients, and patients with atrial fibrillation.
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