Cambridge Series in Statistical and Probabilistic Mathematics

Networks: Probability and Statistics

A. D. Barbour and Gesine Reinert

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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Hardback discount NETW2026 30% off through 30 June 2027
Front cover of Networks: Probability and Statistics

About the book

A rigorous guide to network data, models, and inference

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.

June 2026 Publication date
c. 964 pp. Hardback volume
978-1-009-65172-1 ISBN
NETW2026 30% discount code
Review

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

Authors

Portrait of A. D. Barbour

A. D. Barbour

University of Zurich

Portrait of Gesine Reinert

Gesine Reinert

University of Oxford