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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
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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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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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