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Tauberian Theory for Multivariate Regularly Varying Distributions with Application to Preferential Attachment Networks

Author
Resnick, Sidney; Samorodnitsky, Gennady
Abstract
Abel-Tauberian theorems relate power
law behavior of distributions and their transforms. We formulate and
prove a multivariate version for non-standard regularly varying
measures on R_+^p and then apply it to
prove that the joint distribution of in- and out-degree in a directed edge
preferential attachement model has jointly regularly varying
tails.
Date Issued
2014-06-25Subject
multivariate heavy tails; preferential attachment model; scale free networks; Tauberian theory
Type
technical report