A. D. Barbour
University of Zurich
Cambridge Series in Statistical and Probabilistic Mathematics
A comprehensive introduction to the probabilistic and statistical analysis of network data, bringing together examples, models, inference, and applications.
The PDF available here is the submitted version and may differ from the printed book, including corrections made before publication.
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About the book
Network representations now appear across the sciences: protein interactions, social relationships, communication systems, trade, the web, and many other complex data sources. This book develops the probability and statistics needed to describe such structures, understand uncertainty, and assess competing models.
The treatment begins with concrete data sets and descriptive summaries, then moves through random graph models, branching-process ideas, preferential attachment, graph limits, sampling, estimation, model checking, community detection, comparison, and further topics.
An unusual blend of practical examples, probabilistic treatment of important random graph models, description and analysis of statistical methods, all written with clarity, insight, and competence.
Steffen Lauritzen, Emeritus Professor of Statistics, University of Oxford and University of Copenhagen