{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T02:08:59Z","timestamp":1740103739973,"version":"3.37.3"},"reference-count":28,"publisher":"Wiley","license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Serbian Ministry of Education, Science and Technology Development","award":["TR32040","III41013","CA15104"],"award-info":[{"award-number":["TR32040","III41013","CA15104"]}]},{"name":"Serbian Ministry of Education, Science and Technology Development","award":["TR32040","III41013","CA15104"],"award-info":[{"award-number":["TR32040","III41013","CA15104"]}]},{"DOI":"10.13039\/501100000921","name":"European Cooperation in Science and Technology","doi-asserted-by":"publisher","award":["TR32040","III41013","CA15104"],"award-info":[{"award-number":["TR32040","III41013","CA15104"]}],"id":[{"id":"10.13039\/501100000921","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2017]]},"abstract":"<jats:p>Cross-approximate entropy<jats:italic>(XApEn)<\/jats:italic>quantifies the mutual orderliness of simultaneously recorded time series. Despite being derived from the firmly established solitary entropies, it has never reached their reputation and deployment. The aim of this study is to identify the problems that preclude wider<jats:italic>XApEn<\/jats:italic>implementation and to develop a set of solutions. Exact expressions for<jats:italic>XApEn<\/jats:italic>and its constitutive parts are derived and compared to values estimated from artificial data. This comparison revealed vast regions within the parameter space that do not guarantee reliable probability estimation, making<jats:italic>XApEn<\/jats:italic>estimates inconsistent. A simple correction to one of the<jats:italic>XApEn<\/jats:italic>procedural steps is proposed. Three sets of formulae for joint parameter selection are derived. The first one is intended to maximize threshold profile. The remaining ones minimize<jats:italic>XApEn<\/jats:italic>instability according to the strong and weak criteria. The derived expressions are verified using cardiovascular signals recorded from rats (long signals) and healthy volunteers (short clinical signals), proposing a change of traditional parameter guidelines.<\/jats:p>","DOI":"10.1155\/2017\/8365685","type":"journal-article","created":{"date-parts":[[2017,9,17]],"date-time":"2017-09-17T17:01:40Z","timestamp":1505667700000},"page":"1-15","source":"Crossref","is-referenced-by-count":8,"title":["On Consistency of Cross-Approximate Entropy in Cardiovascular and Artificial Environments"],"prefix":"10.1155","volume":"2017","author":[{"given":"Tamara","family":"Skoric","sequence":"first","affiliation":[{"name":"Faculty of Technical Sciences-DEET, Center of Excellence CEVAS, University of Novi Sad, Trg Dositeja Obradovica 6, 21000 Novi Sad, Serbia"}]},{"given":"Olivera","family":"Sarenac","sequence":"additional","affiliation":[{"name":"School of Medicine, Institute of Pharmacology, Clinical Pharmacology and Toxicology, University of Belgrade, Dr. Subotica 1, 11129 Belgrade, Serbia"}]},{"given":"Branislav","family":"Milovanovic","sequence":"additional","affiliation":[{"name":"Department of Cardiology, Neurocardiology Laboratory, University Hospital Medical Center \u201cBezanijska Kosa\u201d, Bezanijska Kosa bb, 11080 Belgrade, Serbia"}]},{"given":"Nina","family":"Japundzic-Zigon","sequence":"additional","affiliation":[{"name":"School of Medicine, Institute of Pharmacology, Clinical Pharmacology and Toxicology, University of Belgrade, Dr. Subotica 1, 11129 Belgrade, Serbia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4662-7939","authenticated-orcid":true,"given":"Dragana","family":"Bajic","sequence":"additional","affiliation":[{"name":"Faculty of Technical Sciences-DEET, Center of Excellence CEVAS, University of Novi Sad, Trg Dositeja Obradovica 6, 21000 Novi Sad, 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