JSM 2015 Preliminary Program

Online Program Home
My Program

Abstract Details

Activity Number: 578
Type: Invited
Date/Time: Wednesday, August 12, 2015 : 2:00 PM to 3:50 PM
Sponsor: IMS
Abstract #314344 View Presentation
Title: Tauberian Theory for Multivariate Regularly Varying Distributions with Application to Preferential Attachment Networks
Author(s): Sidney Resnick* and Gennady Samorodnitsky
Companies: Cornell University and Cornell University
Keywords: Tauberian theorem ; regular variation ; heavy tails ; preferential attachment ; random graphs
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 the positive p-dimensional quadrant and then apply it to prove that the joint distribution of in- and out-degree in a directed edge preferential attachment model has jointly regularly varying tails. (Joint with G. Samorodnitsky)


Authors who are presenting talks have a * after their name.

Back to the full JSM 2015 program





For program information, contact the JSM Registration Department or phone (888) 231-3473.

For Professional Development information, contact the Education Department.

The views expressed here are those of the individual authors and not necessarily those of the JSM sponsors, their officers, or their staff.

2015 JSM Online Program Home