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Nonstandard regular variation of the in-degree and the out-degree in the preferential attachement model

dc.contributor.authorSamorodnitsky, Gennady
dc.contributor.authorResnick, Sidney
dc.contributor.authorTowsley, Don
dc.contributor.authorDavis, Richard
dc.contributor.authorWillis, Amy
dc.contributor.authorWan, Phyllis
dc.date.accessioned2014-06-25T15:40:11Z
dc.date.available2014-06-25T15:40:11Z
dc.date.issued2014-06-25
dc.description.abstractFor the directed edge preferential attachment network growth model studied by Bollobas et al. (2003) and Krapivsky and Redner (2001), we prove that the joint distribution of in-degree and out-degree has jointly regularly varying tails. Typically the marginal tails of the in-degree distribution and the out-degree distribution have different regular variation indices and so the joint regular variation is non-standard. Only marginal regular variation has been previously established for this distribution in the cases where the marginal tail indices are different.en_US
dc.description.sponsorshipThe research of the authors was supported by MURI ARO Grant W911NF-12-10385 to Cornell Universityen_US
dc.identifier.urihttps://hdl.handle.net/1813/36711
dc.language.isoen_USen_US
dc.subjectmultivariate heavy tailsen_US
dc.subjectpreferential attachment modelen_US
dc.subjectscale free networksen_US
dc.titleNonstandard regular variation of the in-degree and the out-degree in the preferential attachement modelen_US
dc.typetechnical reporten_US

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