Measuring burstiness for finite event sequences

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en Kim, Eun-Kyeong Jo, Hang-Hyun 2018-08-01T12:37:39Z 2018-08-01T12:37:39Z 2016-09-15
dc.identifier.citation Kim , E-K & Jo , H-H 2016 , ' Measuring burstiness for finite event sequences ' PHYSICAL REVIEW E , vol 94 , no. 3 , 032311 , pp. 1-7 . DOI: 10.1103/PhysRevE.94.032311 en
dc.identifier.issn 1539-3755
dc.identifier.issn 1550-2376
dc.identifier.other PURE UUID: 08b629c2-6736-4d42-921f-89b16987cf43
dc.identifier.other PURE ITEMURL:
dc.identifier.other PURE LINK:
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dc.description.abstract Characterizing inhomogeneous temporal patterns in natural and social phenomena is important to understand underlying mechanisms behind such complex systems and, hence, even to predict and control them. Temporal inhomogeneities in event sequences have been described in terms of bursts that are rapidly occurring events in short time periods alternating with long inactive periods. The bursts can be quantified by a simple measure, called the burstiness parameter, which was introduced by Goh and Barabási [Europhys. Lett. 81, 48002 (2008)EULEEJ0295-507510.1209/0295-5075/81/48002]. The burstiness parameter has been widely used due to its simplicity, which, however, turns out to be strongly affected by the finite number of events in the time series. As the finite-size effects on burstiness parameter have been largely ignored, we analytically investigate the finite-size effects of the burstiness parameter. Then we suggest an alternative definition of burstiness that is free from finite-size effects and yet simple. Using our alternative burstiness measure, one can distinguish the finite-size effects from the intrinsic bursty properties in the time series. We also demonstrate the advantages of our burstiness measure by analyzing empirical data sets. en
dc.format.extent 7
dc.format.extent 1-7
dc.format.mimetype application/pdf
dc.language.iso en en
dc.relation.ispartofseries PHYSICAL REVIEW E en
dc.relation.ispartofseries Volume 94, issue 3 en
dc.rights openAccess en
dc.subject.other Statistical and Nonlinear Physics en
dc.subject.other Statistics and Probability en
dc.subject.other Condensed Matter Physics en
dc.subject.other 113 Computer and information sciences en
dc.title Measuring burstiness for finite event sequences en
dc.type A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä fi
dc.description.version Peer reviewed en
dc.contributor.department Pennsylvania State University
dc.contributor.department Professorship Kaski K.
dc.contributor.department Department of Computer Science en
dc.subject.keyword Statistical and Nonlinear Physics
dc.subject.keyword Statistics and Probability
dc.subject.keyword Condensed Matter Physics
dc.subject.keyword 113 Computer and information sciences
dc.identifier.urn URN:NBN:fi:aalto-201808014065
dc.identifier.doi 10.1103/PhysRevE.94.032311
dc.type.version publishedVersion

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