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A Review on the Characterization of Signals and Systems by Power Law Distributions

dc.contributor.authorMachado, J.A.Tenreiro
dc.contributor.authorPinto, Carla M.A.
dc.contributor.authorLopes, A. Mendes
dc.date.accessioned2015-11-19T12:31:42Z
dc.date.available2015-11-19T12:31:42Z
dc.date.issued2015
dc.description.abstractPower laws, also known as Pareto-like laws or Zipf-like laws, are commonly used to explain a variety of real world distinct phenomena, often described merely by the produced signals. In this paper, we study twelve cases, namely worldwide technological accidents, the annual revenue of America׳s largest private companies, the number of inhabitants in America׳s largest cities, the magnitude of earthquakes with minimum moment magnitude equal to 4, the total burned area in forest fires occurred in Portugal, the net worth of the richer people in America, the frequency of occurrence of words in the novel Ulysses, by James Joyce, the total number of deaths in worldwide terrorist attacks, the number of linking root domains of the top internet domains, the number of linking root domains of the top internet pages, the total number of human victims of tornadoes occurred in the U.S., and the number of inhabitants in the 60 most populated countries. The results demonstrate the emergence of statistical characteristics, very close to a power law behavior. Furthermore, the parametric characterization reveals complex relationships present at higher level of description.pt_PT
dc.identifier.doi10.1016/j.sigpro.2014.03.003pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.22/6937
dc.language.isoengpt_PT
dc.publisherElsevierpt_PT
dc.relation.ispartofseriesSignal Processing;Vol. 107
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S016516841400098Xpt_PT
dc.subjectPower lawspt_PT
dc.subjectNatural and human made phenomenapt_PT
dc.subjectStatisticspt_PT
dc.titleA Review on the Characterization of Signals and Systems by Power Law Distributionspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage253pt_PT
oaire.citation.startPage246pt_PT
oaire.citation.titleSignal Processingpt_PT
oaire.citation.volume107pt_PT
person.familyNameTenreiro Machado
person.familyNamePinto
person.givenNameJ. A.
person.givenNameCarla
person.identifier.ciencia-id7A18-4935-5B29
person.identifier.orcid0000-0003-4274-4879
person.identifier.orcid0000-0002-0729-1133
person.identifier.ridM-2173-2013
person.identifier.ridJ-5221-2013
person.identifier.scopus-author-id55989030100
person.identifier.scopus-author-id14326048800
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication82cd5c17-07b6-492b-b3e3-ecebdad1254f
relation.isAuthorOfPublicationedfd0bf4-9f73-47ee-817a-860e3d088994
relation.isAuthorOfPublication.latestForDiscoveryedfd0bf4-9f73-47ee-817a-860e3d088994

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