{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,26]],"date-time":"2026-04-26T08:49:55Z","timestamp":1777193395741,"version":"3.51.4"},"reference-count":37,"publisher":"Wiley","license":[{"start":{"date-parts":[[2024,5,24]],"date-time":"2024-05-24T00:00:00Z","timestamp":1716508800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Escola Superior de Sa\u00fade, ESS\u2013P.PORTO and Instituto de Sa\u00fade Ambiental, ISAMB-FMUL-U. Lisboa"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational and Mathematical Methods"],"published-print":{"date-parts":[[2024,5,24]]},"abstract":"<jats:p>In various fields, such as economics, finance, bioinformatics, geology, and medicine, namely, in the cases of electroencephalogram, electrocardiogram, and biotechnology, cluster analysis of time series is necessary. The first step in cluster applications is to establish a similarity\/dissimilarity coefficient between time series. This article introduces an extension of the affinity coefficient for the autoregressive expansions of the invertible autoregressive moving average models to measure their similarity between them. An application of the affinity coefficient between time series was developed and implemented in R. Cluster analysis is performed with the corresponding distance for the estimated simulated autoregressive moving average of order one. The primary findings indicate that processes with similar forecast functions are grouped (in the same cluster) as expected concerning the affinity coefficient. It was also possible to conclude that this affinity coefficient is very sensitive to the behavior changes of the forecast functions: processes with small different forecast functions appear to be well separated in different clusters. Moreover, if the two processes have at least an infinite number of <jats:italic>\u03c0<\/jats:italic>- weights with a symmetric signal, the affinity value is also symmetric.<\/jats:p>","DOI":"10.1155\/2024\/5540143","type":"journal-article","created":{"date-parts":[[2024,5,25]],"date-time":"2024-05-25T01:05:08Z","timestamp":1716599108000},"page":"1-13","source":"Crossref","is-referenced-by-count":1,"title":["Affinity Coefficient for Clustering Autoregressive Moving Average Models"],"prefix":"10.1155","volume":"2024","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4423-2706","authenticated-orcid":true,"given":"Ana Paula","family":"Nascimento","sequence":"first","affiliation":[{"name":"Center for Translational Health and Medical Biotechnology Research (TBIO)\/Health Research Network (RISE-Health), ESS, Polytechnic of Porto, R. Dr. Ant\u00f3nio Bernardino de Almeida, 400, Porto, Portugal"},{"name":"Biomatem\u00e1tica, Bioestat\u00edstica e Bioinform\u00e1tica, ESS, Polytechnic of Porto, R. Dr. Ant\u00f3nio Bernardino de Almeida, 400, Porto, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5872-5504","authenticated-orcid":true,"given":"Alexandra","family":"Oliveira","sequence":"additional","affiliation":[{"name":"Biomatem\u00e1tica, Bioestat\u00edstica e Bioinform\u00e1tica, ESS, Polytechnic of Porto, R. Dr. Ant\u00f3nio Bernardino de Almeida, 400, Porto, Portugal"},{"name":"Artificial Intelligence and Computer Science Laboratory (LIACC Member of LASI), University of Porto, Porto, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2102-3407","authenticated-orcid":true,"given":"Br\u00edgida M\u00f3nica","family":"Faria","sequence":"additional","affiliation":[{"name":"Biomatem\u00e1tica, Bioestat\u00edstica e Bioinform\u00e1tica, ESS, Polytechnic of Porto, R. Dr. Ant\u00f3nio Bernardino de Almeida, 400, Porto, Portugal"},{"name":"Artificial Intelligence and Computer Science Laboratory (LIACC Member of LASI), University of Porto, Porto, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1985-8395","authenticated-orcid":true,"given":"Rui","family":"Pimenta","sequence":"additional","affiliation":[{"name":"Biomatem\u00e1tica, Bioestat\u00edstica e Bioinform\u00e1tica, ESS, Polytechnic of Porto, R. Dr. Ant\u00f3nio Bernardino de Almeida, 400, Porto, Portugal"},{"name":"Centre for Health Studies and Research of the University of Coimbra\/Centre for Innovative Biomedicine and Biotechnology (CEISUC\/CiBB), ESS, Polytechnic of Porto\/REQUIMTE\/LAQV, Rua Dr. Ant\u00f3nio Bernardino de Almeida, Porto, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8687-4811","authenticated-orcid":true,"given":"M\u00f3nica","family":"Vieira","sequence":"additional","affiliation":[{"name":"Center for Translational Health and Medical Biotechnology Research (TBIO)\/Health Research Network (RISE-Health), ESS, Polytechnic of Porto, R. Dr. Ant\u00f3nio Bernardino de Almeida, 400, Porto, Portugal"},{"name":"Ci\u00eancias Qu\u00edmicas e das Biomol\u00e9culas, ESS, Polytechnic of Porto, R. 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