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An Exponential Family of Probability Distributions for Directed Graphs
Abstract
Directed graph (or digraph) data arise in many fields, especially in contemporary research on structures of social relationships. We describe an exponential family of distributions that can be used for analyzing such data. A substantive rationale for the general model is presented, and several special cases are discussed along with some possible substantive interpretations. A computational algorithm based on iterative scaling procedures for use in fitting data is described, as are the results of a pilot simulation study. An example using previously reported empirical data is worked out in detail. An extension to multiple relationship data is discussed briefly.
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Cites
Centrality in social networks conceptual clarification
Freeman, L. C. (1978) · Social Networks · doi:10.1016/0378-8733(78)90021-7 · Cited by 17,062
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
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
Logit Models and Logistic Regressions for Social Networks: I. An Introduction to Markov Graphs and p
Wasserman, S., & Pattison, P. (1996) · Psychometrika · doi:10.1007/bf02294547 · Cited by 950
Activity driven modeling of time varying networks
Perra, N., Gonçalves, B., Pastor-Satorras, R., & Vespignani, A. (2012) · Scientific Reports · doi:10.1038/srep00469 · Cited by 709
Goodness of Fit of Social Network Models
Hunter, D. R., Goodreau, S. M., & Handcock, M. S. (2008) · Journal of the American Statistical Association · doi:10.1198/016214507000000446 · Cited by 689
Metadata
- Authors
- Holland, P. W., & Leinhardt, S.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1981-03
- Volume
- 76
- Issue
- 373
- Pages
- 33-50
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2076736556
- Cited by
- 1,190
- References
- 2
- FWCI
- 15.04
- Type
- journal article
- Language
- en
- Open access
- closed
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