Nonstandard regular variation of the in-degree and the out-degree in the preferential attachement model
dc.contributor.author | Samorodnitsky, Gennady | |
dc.contributor.author | Resnick, Sidney | |
dc.contributor.author | Towsley, Don | |
dc.contributor.author | Davis, Richard | |
dc.contributor.author | Willis, Amy | |
dc.contributor.author | Wan, Phyllis | |
dc.date.accessioned | 2014-06-25T15:40:11Z | |
dc.date.available | 2014-06-25T15:40:11Z | |
dc.date.issued | 2014-06-25 | |
dc.description.abstract | For 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.sponsorship | The research of the authors was supported by MURI ARO Grant W911NF-12-10385 to Cornell University | en_US |
dc.identifier.uri | https://hdl.handle.net/1813/36711 | |
dc.language.iso | en_US | en_US |
dc.subject | multivariate heavy tails | en_US |
dc.subject | preferential attachment model | en_US |
dc.subject | scale free networks | en_US |
dc.title | Nonstandard regular variation of the in-degree and the out-degree in the preferential attachement model | en_US |
dc.type | technical report | en_US |
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