{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,4]],"date-time":"2026-06-04T20:19:37Z","timestamp":1780604377296,"version":"3.54.1"},"reference-count":19,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2010,3]]},"abstract":"<jats:p> A generalized Statistical Complexity Measure (SCM) is a functional that characterizes the probability distribution P associated to the time series generated by a given dynamical system. It quantifies not only randomness but also the presence of correlational structures. We review here several fundamental issues in such a respect, namely, (a) the selection of the information measure [Formula: see text]; (b) the choice of the probability metric space and associated distance [Formula: see text]; (c) the question of defining the so-called generalized disequilibrium [Formula: see text]; (d) the adequate way of picking up the probability distribution P associated to a dynamical system or time series under study, which is indeed a fundamental problem. In this communication we show (point d) that sensible improvements in the final results can be expected if the underlying probability distribution is \"extracted\" via appropriate consideration regarding causal effects in the system's dynamics. <\/jats:p>","DOI":"10.1142\/s021812741002606x","type":"journal-article","created":{"date-parts":[[2010,4,1]],"date-time":"2010-04-01T04:50:35Z","timestamp":1270097435000},"page":"775-785","source":"Crossref","is-referenced-by-count":50,"title":["GENERALIZED STATISTICAL COMPLEXITY MEASURE"],"prefix":"10.1142","volume":"20","author":[{"given":"OSVALDO A.","family":"ROSSO","sequence":"first","affiliation":[{"name":"Centre for Bioinformatics, Biomarker Discovery and Information-Based Medicine and Hunter Medical Research Institute, School of Electrical Engineering and Computer Science, The University of Newcastle, University Drive, Callaghan, NSW, 2308, Australia"},{"name":"Instituto de C\u00e1lculo, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabell\u00f3n II, Ciudad Universitaria, 1428 Ciudad Autonoma de Buenos Aires, Argentina"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"LUCIANA","family":"DE MICCO","sequence":"additional","affiliation":[{"name":"Departamentos de Fisica y de Ingenieria Electronica, Facultad de Ingenier\u00eda, Universidad Nacional de Mar del Plata, Juan B. Justo 4302, 7600 Mar del Plata, Argentina"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"HILDA A.","family":"LARRONDO","sequence":"additional","affiliation":[{"name":"Departamentos de Fisica y de Ingenieria Electronica, Facultad de Ingenier\u00eda, Universidad Nacional de Mar del Plata, Juan B. Justo 4302, 7600 Mar del Plata, Argentina"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"MAR\u00cdA T.","family":"MART\u00cdN","sequence":"additional","affiliation":[{"name":"Instituto de F\u00edsica-IFLP-CCT La Plata-Conicet, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 727, 1900 La Plata, Argentina"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"ANGEL","family":"PLASTINO","sequence":"additional","affiliation":[{"name":"Instituto de F\u00edsica-IFLP-CCT La Plata-Conicet, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 727, 1900 La Plata, Argentina"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2012,5,2]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/79\/50001"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(96)00756-6"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.88.174102"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2008.02.037"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(97)00855-4"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2005.05.022"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2003.11.005"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(95)00867-5"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(03)00491-2"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2005.11.053"},{"key":"rf11","first-page":"1114","volume":"82","author":"Mischaikow K.","journal-title":"Phys. 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