The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Analyzing Social Networks as Stochastic Processes
Open accessAbstract
This article presents a new methodology for studying a social network of interpersonal relationships, based on stochastic modeling of the changes that occur in the network over time. Specifically, we postulate that these changes can be modeled as a continuous-time Markov chain. The transition rates for the chain are dependent on a small set of parameters that measure the importance of various aspects of social structure on the probability of change. We discuss the assumptions of the framework and describe two simple models that are applications of it. We then present, analyze, and interpret several examples, and we outline methods of parameter estimation. The models prove to be quite effective and allow us to better understand the evolution of a network.
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Cites
Social Structure from Multiple Networks. II. Role Structures
Boorman, S. A., & White, H. C. (1976) · American Journal of Sociology · doi:10.1086/226228 · Cited by 788
Cited by
The Statistical Evaluation of Social Network Dynamics
Snijders, T. A. B. (2001) · Sociological Methodology · doi:10.1111/0081-1750.00099 · Cited by 1,203
Frank, O., & Strauss, D. (1986) · Journal of the American Statistical Association · doi:10.1080/01621459.1986.10478342 · Cited by 893
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
The Analysis of Panel Data under a Markov Assumption
Kalbfleisch, J. D., & Lawless, J. F. (1985) · Journal of the American Statistical Association · doi:10.1080/01621459.1985.10478195 · Cited by 697
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
- Wasserman, S.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1980-06
- Volume
- 75
- Issue
- 370
- Pages
- 280-294
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2048356439
- Cited by
- 200
- References
- 1
- FWCI
- 1.20
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
