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A dynamic model for social networks†
Abstract
A continuous‐time binary‐matrix‐valued Markov chain is used to model the process by which social structure effects individual behavior. The model is developed in the context of sociometric networks of interpersonal affect. By viewing the network as a time‐dependent stochastic process it is possible to construct transition intensity equations for the probability that choices between group members will change. These equations can contain parameters for structural effects. Empirical estimates of the parameters can be interpreted as measures of structural tendencies. Some elementary processes are described and the application of the model to cross‐sectional data is explained in terms of the steady state solution to the process.
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Cited by
Introduction to stochastic actor-based models for network dynamics
Snijders, T. A. B., van de Bunt, G. G., & Steglich, C. E. G. (2010) · Social Networks · doi:10.1016/j.socnet.2009.02.004 · Cited by 2,103
Latent Space Approaches to Social Network Analysis
Hoff, P. D., Raftery, A. E., & Handcock, M. S. (2002) · Journal of the American Statistical Association · doi:10.1198/016214502388618906 · Cited by 1,917
The Statistical Evaluation of Social Network Dynamics
Snijders, T. A. B. (2001) · Sociological Methodology · doi:10.1111/0081-1750.00099 · Cited by 1,203
A Survey of Statistical Network Models
Goldenberg, A., Zheng, A. X., Fienberg, S. E., & Airoldi, E. M. (2010) · Foundations and Trends® in Machine Learning · doi:10.1561/2200000005 · Cited by 819
Models for Longitudinal Network Data
Snijders, T. A. B. (2005) · Models and Methods in Social Network Analysis · doi:10.1017/cbo9780511811395.011 · Cited by 614
Metadata
- Authors
- Holland, P. W., & Leinhardt, S.
- Venue
- The Journal of Mathematical Sociology
- Publisher
- Informa UK Limited
- Published
- 1977-01
- Volume
- 5
- Issue
- 1
- Pages
- 5-20
- ISSN
- 0022-250X (ISSN-L)
- 1545-5874
- OpenAlex
- W2023141044
- Cited by
- 257
- References
- 0
- FWCI
- 7.55
- Type
- journal article
- Language
- en
- Open access
- closed
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- Holland, P. W., & Leinhardt, S. (1977). A dynamic model for social networks†. The Journal of Mathematical Sociology. https://doi.org/10.1080/0022250x.1977.9989862
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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