288
Views
309
CrossRef citations to date
0
Altmetric
Original Articles

Stochastic actor‐oriented models for network change

Pages 149-172 | Published online: 26 Aug 2010

References

  • Bishop , Y. M. M. , Fienberg , S. E. and Holland , P. W. 1975 . Discrete Midtivariate Analysis , Cambridge, MA : MIT Press .
  • Borgatti , S. , Everett , M. G. and Freeman , L. C. 1992 . UCINET IV Version 1.0 Reference Manual , Columbia : Analytic Technologies .
  • Bowman , K. O. and Shenton , L. R. 1985 . “ Method of moments ” . In Encyclopedia of Statistical Sciences , Edited by: Kotz , S. , Johnson , N. L. and Read , C. B. Vol. 5 , 467 – 473 . New York : Wiley .
  • Chow , G. C. 1983 . Econometrics , Halliday Lithograph Corporation .
  • Chung , K. L. 1967 . Markov Chains with Stationary Transition Probabilities , New York : Springer Verlag .
  • Doreian , P. , Kapuscinski , R. , Krackhardt , D. and Szczypula , J. 1996 . A brief history of balance through time . Journal of Mathematical Sociology , 21 : 113 – 131 .
  • Fararo , T. J. and Skvoretz , J. 1984 . Biased networks and social structure theorems: Part II . Social Networks , 6 : 223 – 258 .
  • Fararo , T. J. 1981 . Biased networks and social structure theorems . Social Networks , 3 : 137 – 159 .
  • Fararo , T. J. 1989 . The Meaning of General Theoretical Sociology , Cambridge : Cambridge University Press .
  • Fararo , T. J. and Hummon , N. P. 1994 . Discrete event simulation and theoretical models in sociology . Advances in Group Processes , 11 : 25 – 66 .
  • Fararo , T. J. and Skvoretz , J. 1984 . Biased networks and social structure theorems: Part II . Social Networks , 6 : 223 – 258 .
  • Fienberg , S. E. , Meyer , M. M. and Wasserman , S. 1985 . Statistical analysis of multiple sociometric relations . Journal of the American Statistical Association , 80 : 51 – 67 .
  • Hoede , C. 1990 . “ Social atoms: kinetics ” . In Social Networks Through Time , Edited by: Weesie , J. and Flap , H. D. 45 – 63 . Utrecht : ISOR .
  • Holland , P. and Leinhardt , S. 1975 . “ Local structure in social networks ” . In Sociological Methodology—1976 , Edited by: Heise , D. R. San Francisco : Jossey‐Bass .
  • Holland , P. and Leinhardt , S. 1977a . A dynamic model for social networks . Journal of Mathematical Sociology , 5 : 5 – 20 .
  • Holland , P. and Leinhardt , S. 1981 . An exponential family of probability distributions for directed graphs . Journal of the American Statistical Association , 76 : 33 – 50 .
  • Karlin , S. and Taylor , H. M. 1975 . A First Course in Stochastic Processes , New York : Academic Press .
  • Leenders , R. Th. A. J. 1995a . Models for network dynamics: A Markovian framework . Journal of Mathematical Sociology , 20 : 1 – 21 .
  • Leenders , R. Th. A. J. 1995b . Structure and Influence. Statistical Models for the Dynamics of Actor Attributes, Network Structure and Their Interdependence , Amsterdam : Thesis Publishers .
  • Leenders , R. Th. A. J. 1996 . Dynamics of friendship and best friendship choices . Journal of Mathematical Sociology , 21 : 133 – 148 .
  • Maddala , G. S. 1983 . Limited‐Dependent and Qualitative Variables in Econometrics , Cambridge : Cambridge University Press .
  • Mayer , T. F. 1984 . Parties and networks: stochastic models for relationship networks . Journal of Mathematical Sociology , 10 : 51 – 103 .
  • Mcldden , D. 1973 . “ Conditional logit analysis of qualitative choice behavior ” . In Frontiers in Econometrics , Edited by: Zarembka , P. New York : Academic Press .
  • McFadden , D. 1989 . A method of simulated moments for estimation of discrete response models without numerical integration . Econometrica , 57 : 995 – 1026 .
  • Nevel'son , M. B. and Has'minskii , R. A. 1973 . An adaptive Robbins‐Monro procedure . Automatic and Remote Control , 34 : 1594 – 1607 .
  • Newcomb , T. 1961 . The Acquaintance Process , New York : Holt, Rinehart and Winston .
  • Nordlie , P. G. 1958 . A Longitudinal Study of Interpersonal Attraction in a Natural Group Setting , University of Michigan . Ph.D. Dissertation
  • Pakes , A. and Pollard , D. The asymptotic distribution of simulation experiments . Econometrica , 57 1027 – 1057 .
  • Pudney , S. 1989 . Modelling Individual Choice , Oxford : Basil Blackwell .
  • Robbins , H. and Monro , S. 1951 . A stochastic approximation method . Annals of Mathematical Statistics , 22 : 400 – 407 .
  • Rapoport , A. 1951 . Nets with distance bias . Bulletin of Mathematical Biophysics , 13 : 85 – 91 .
  • Rapoport , A. 1957 . Contribution to the theory of random and biased nets . Bulletin of Mathematical Biology , 19 : 257 – 277 .
  • Ruppert , D. 1991 . “ Stochastic approximation ” . In Handbook of Sequential Analysis , Edited by: Gosh , B. K. and Sen , P. K. New York : Marcel Dekker .
  • Skvoretz , J. 1991 . Theoretical and methodological models of networks and relations . Social Networks , 13 : 275 – 300 .
  • Snijders , T. A. B. 1991 . Enumeration and simulation methods for 0–1 matrices with given marginals . Psychometrika , 56 : 397 – 417 .
  • Snijders , T. A. B. , Van Dam , M. J. E. M. and Weesie , J. 1994 . Who contributes to public goods? With an application to local economic policies in The Netherlands . Journal of Mathematical Sociology , 19 : 149 – 164 .
  • Stokman , F. N. and Zeggelink , E. P. H. 1996 . Is politics power or policy oriented? A comparative analysis of dynamic access models in policy networks . Journal of Mathematical Sociology , 21 : 77 – 111 .
  • Van De Bunt , G. G. , Van Duijn , M. A. J. and Snijders , T. A. B. Friendship networks and rational choice . Proceedings International Conference on Social Networks . Volume 1 , London : CASSM, University of Greenwich . Methodology
  • Venter , J. H. 1967 . An extension of the Robbins‐Monro procedure . Annals of Mathematical Statistics , 38 : 181 – 190 .
  • Wasserman , S. 1977 . Stochastic models for directed graphs , University of Harvard, Dept. of Statistics . PhD. dissertation
  • Wasserman , S. 1979 . “ A stochastic model for directed graphs with transtion rates determined by reciprocity ” . In Sociological Methodology 1980 , Edited by: Schuessler , K. F. San Francisco : Jossey‐Bass .
  • Wasserman , S. 1980 . Analyzing social networks as stochastic processes . Journal of the American Statistical Association , 75 : 280 – 294 .
  • Wasserman , S. and Faust , K. 1994 . Social Network Analysis: Methods and Applications , New York and Cambridge : Cambridge University Press .
  • Zeggelink , E. P. H. 1993 . Strangers into Friends: The Evolution of Friendship Networks Using an Individual Oriented Modeling Approach , Amsterdam : Thesis Publishers .
  • Zeggelink , E. P. H. 1994 . Dynamics of structure: an individual oriented approach . Social Networks , 16 : 295 – 333 .
  • Zeggelink , E. P. H. 1995 . Evolving friendship networks: an individual‐oriented approach implementing solidarity . Social Networks , 17 : 83 – 110 .
  • The ideas presented in this paper benefited from discussions with many people at the ICS, of whom I wish to mention Frans Stokman, Evelien Zeggelink, and Roger Leenders.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.