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Nonstandard regular variation of in-degree and out-degree in the preferential attachment model
2016
Journal of Applied Probability
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For the directed edge preferential attachment network growth model studied by Bollobás 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 nonstandard. Only marginal regular variation has been previously established for this
doi:10.1017/jpr.2015.15
fatcat:ud6rt3tgufd37eicxywsxufymm