{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,19]],"date-time":"2025-10-19T15:46:19Z","timestamp":1760888779503,"version":"3.41.2"},"reference-count":40,"publisher":"AIP Publishing","issue":"2","content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2013,6,1]]},"abstract":"<jats:p>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.<\/jats:p>","DOI":"10.1063\/1.4802035","type":"journal-article","created":{"date-parts":[[2013,4,19]],"date-time":"2013-04-19T22:42:48Z","timestamp":1366411368000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":23,"title":["Beyond long memory in heart rate variability: An approach based on fractionally integrated autoregressive moving average time series models with conditional heteroscedasticity"],"prefix":"10.1063","volume":"23","author":[{"given":"Argentina","family":"Leite","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica, Escola de Ci\u00eancias e Tecnologia 1 , Universidade de Tr\u00e1s-os-Montes e Alto Douro and CM-UTAD, Portugal"}]},{"given":"Ana","family":"Paula Rocha","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica, Faculdade de Ci\u00eancias 2 , Universidade do Porto and CMUP, Portugal"}]},{"given":"Maria","family":"Eduarda Silva","sequence":"additional","affiliation":[{"name":"Faculdade de Economia 3 , Universidade do Porto and CIDMA, Portugal"}]}],"member":"317","published-online":{"date-parts":[[2013,4,19]]},"reference":[{"key":"2023062216425151300_c1","doi-asserted-by":"publisher","first-page":"1139","DOI":"10.1016\/0735-1097(89)90408-7","article-title":"Beat to beat variability in cardiovascular variables: noise or music?","volume":"14","year":"1989","journal-title":"J. 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