Open Access
December 2017 Co-evolution of social networks and continuous actor attributes
Nynke M. D. Niezink, Tom A. B. Snijders
Ann. Appl. Stat. 11(4): 1948-1973 (December 2017). DOI: 10.1214/17-AOAS1037


Social networks and the attributes of the actors in these networks are not static; they may develop interdependently over time. The stochastic actor-oriented model allows for statistical inference on the mechanisms driving this co-evolution process. In earlier versions of this model, dynamic actor attributes are assumed to be measured on an ordinal categorical scale. We present an extension of the stochastic actor-oriented model that does away with this restriction using a stochastic differential equation to model the evolution of continuous actor attributes. We estimate the parameters by a procedure based on the method of moments. The proposed method is applied to study the dynamics of a friendship network among the students at an Australian high school. In particular, we model the relationship between friendship and obesity, focusing on body mass index as a continuous co-evolving attribute.


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Nynke M. D. Niezink. Tom A. B. Snijders. "Co-evolution of social networks and continuous actor attributes." Ann. Appl. Stat. 11 (4) 1948 - 1973, December 2017.


Received: 1 April 2016; Revised: 1 February 2017; Published: December 2017
First available in Project Euclid: 28 December 2017

zbMATH: 1383.62335
MathSciNet: MR3743284
Digital Object Identifier: 10.1214/17-AOAS1037

Keywords: longitudinal data , Markov model , method of moments , social networks , Stochastic differential equations

Rights: Copyright © 2017 Institute of Mathematical Statistics

Vol.11 • No. 4 • December 2017
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