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Estimating the correlation in network disturbance models

Abstract:

The network disturbance model of P. Doreian (1989), expresses the dependency between observations taken at the vertices of a network by modelling the correlation between neighbouring vertices, using a single correlation parameter p⁠. It has been observed that estimation of p⁠ in dense graphs, using the method of maximum likelihood, leads to results that can be both biased and very unstable. In this article, we sketch why this is the case, showing that the variability cannot be avoided, no matter how large the network. We also propose a more intuitive estimator of p⁠, which shows little bias. The related network effects model is briefly discussed.

Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1093/comnet/cnab028

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Statistics
Role:
Author
ORCID:
0000-0002-0363-9470


Publisher:
Oxford University Press
Journal:
Journal of Complex Networks More from this journal
Volume:
9
Issue:
5
Article number:
cnab028
Publication date:
2021-09-18
Acceptance date:
2021-08-24
DOI:
EISSN:
2051-1329
ISSN:
2051-1310


Keywords:
Pubs id:
1192207
Local pid:
pubs:1192207
Deposit date:
2022-11-25

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