JSM 2012 Home

JSM 2012 Online Program

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

Online Program Home

Abstract Details

Activity Number: 180
Type: Contributed
Date/Time: Monday, July 30, 2012 : 10:30 AM to 12:20 PM
Sponsor: IMS
Abstract - #306518
Title: Asymptotic Inference for Preferential Attachment Models
Author(s): Daniel Saxton*+ and Anand N. Vidyashankar and Huzefa Rangwala
Companies: and George Mason University and George Mason University
Address: 5415 Helm Court, Fairfax, VA, 22032, United States
Keywords: prefential attachment ; branching processes ; scaling exponent ; power law ; Twitter data
Abstract:

Preferential attachment models and their variants are being increasingly used to model evolving networks in various scientific fields such as social networks, neuroscience, metabolic systems, finance, and economics. These models possess several interesting properties including the so-called power law for the degree distribution. However, inference concerning various aspects of such evolving networks have not been well investigated.

In this talk we will present statistical methods to describe various features of the network topology when modeled using preferential attachment models. Specifically, we will describe methods to estimate (i) the scaling exponent of the degree distribution, (ii) clustering coefficient, and (iii) the diameter of the network. We will describe their large sample properties and study their behavior in small networks using simulations. Finally, we apply our methods to a recent Tweets2011 data obtained from NIST.


The address information is for the authors that have a + after their name.
Authors who are presenting talks have a * after their name.

Back to the full JSM 2012 program




2012 JSM Online Program Home

For information, contact jsm@amstat.org or phone (888) 231-3473.

If you have questions about the Continuing Education program, please contact the Education Department.