Specification of exponential-family random graph models: Terms and computational aspects

Journal of Statistical Software

Volumn 24, Issue 4, 2008, Pages

  Morris, Martina ^a   Handcock, Mark S ^a   Hunter, David R ^b  

^a UNIVERSITY OF WASHINGTON   (United States)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

Exponential family random graph model; Markov chain Monte Carlo; Maximum likelihood estimation; p star model

Indexed keywords

EID: 45349086832     PISSN: 15487660     EISSN: 15487660     Source Type: Journal    
DOI: 10.18637/jss.v024.i04     Document Type: Article

References (20)

1. Besag J (1974). "Spatial Interaction and the Statistical Analysis of Lattice Systems." Journal of the Royal Statistical Society B, 36, 192-236.
2. Butts CT (2008a). "network: A Package for Managing Relational Data in R." Journal of Statistical Software, 24(2). URL http://www.jstatsoft.org/v24/i02/.
3. Butts CT (2008b). "Social Network Analysis with sna." Journal of Statistical Software, 24(6). URL http://www.jstatsoft. org/v24/i06/.
4. Davis JA, Leinhardt S (1972). "The Structure of Positive Interpersonal Relations in Small Groups." In J Berger (ed.), "Sociological Theories in Progress, Volume 2," pp. 218-251. Houghton Mifflin, Boston.
5. Goodreau SM, Handcock MS, Hunter DR, Butts CT, Morris M (2008a). "A statnet Tutorial." Journal of Statistical Software, 24(9). URL http://www.jstatsoft.org/v24/i09/.
6. Goodreau SM, Kitts J, Morris M (2008b). "Birds of a Feather, or Friend of a Friend? Using Exponential Random Graph Models to Investigate Adolescent Social Networks." Demography, 45. Forthcoming.
7. Handcock MS, Hunter DR, Butts CT, Goodreau SM, Morris M (2003). statnet: Software Tools for the Statistical Modeling of Network Data. Statnet Project http://statnetproject.org/, Seattle, WA.
8. R package version 2.0, URL http://CRAN.R-project.org/package=statnet.
9. Holland PW, Leinhardt S (1981). "An Exponential Family of Probability Distributions for Directed Graphs." Journal of the American Statistical Association, 76(373), 33-65.
10. Hunter DR (2007). "Curved Exponential FamilyModels for Social Networks." Social Networks, 29, 216-230.
11. Hunter DR, Goodreau SM, Handcock MS (2008a). "Goodness of Fit for Social Network Models." Journal of the American Statistical Association, 103, 248-258.
12. Hunter DR, Handcock MS (2006). "Inference in Curved Exponential Family Models for Networks." Journal of Computational and Graphical Statistics, 15(3), 565-583.
13. Hunter DR, Handcock MS, Butts CT, Goodreau SM, Morris M (2008b). "ergm: A Package to Fit, Simulate and Diagnose Exponential-Family Models for Networks." Journal of Statistical Software, 24(3). URL http://www.jstatsoft.org/v24/i03/.
14. Kernighan BW, Ritchie DM (1988). The C Programming Language. Prentice Hall Press, Upper Saddle River, NJ.
15. Krackhardt D, Handcock MS (2007). "Heider versus Simmel: Emergent Features in Dynamic Structures." In EM Airoldi (ed.), "Workshop on Statistical Network Analysis, ICML 2006, Pittsburgh, USA, June 29, 2006," volume 4503 of Lecture Notes in Computer Science, pp. 14-27. Springer-Verlag.
16. R Development Core Team (2007). R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0, Version 2.6.1, URL http://www.R-project.org/.
17. Robins G, Morris M (2007). "Advances in Exponential Random Graph (p*) Models." Social Networks, 29(2), 169-172.
18. Snijders TAB (2002). "Markov Chain Monte Carlo Estimation of Exponential Random Graph Models." Journal of Social Structure, 3(2).
19. Snijders TAB, Pattison P, Robins GL, Handcock MS (2006). "New Specications for Exponential Random Graph Models." Sociological Methodology, 36, 99-153.
20. Snijders TAB, van Duijn MAJ (2002). "Conditional Maximum Likelihood Estimation under Various Specications of Exponential Random Graph Models." In J Hagberg (ed.), "Contributions to Social Network Analysis, Information Theory, and Other Topics in Statistics; A Festschrift in honour of Ove Frank," pp. 117-134. University of Stockholm, Department of Statistics, Stockholm.