Statistical Analysis of Network Data: Methods and ModelsSpringer Science & Business Media, 20 avr. 2009 - 386 pages In recent years there has been an explosion of network data – that is, measu- ments that are either of or from a system conceptualized as a network – from se- ingly all corners of science. The combination of an increasingly pervasive interest in scienti c analysis at a systems level and the ever-growing capabilities for hi- throughput data collection in various elds has fueled this trend. Researchers from biology and bioinformatics to physics, from computer science to the information sciences, and from economics to sociology are more and more engaged in the c- lection and statistical analysis of data from a network-centric perspective. Accordingly, the contributions to statistical methods and modeling in this area have come from a similarly broad spectrum of areas, often independently of each other. Many books already have been written addressing network data and network problems in speci c individual disciplines. However, there is at present no single book that provides a modern treatment of a core body of knowledge for statistical analysis of network data that cuts across the various disciplines and is organized rather according to a statistical taxonomy of tasks and techniques. This book seeks to ll that gap and, as such, it aims to contribute to a growing trend in recent years to facilitate the exchange of knowledge across the pre-existing boundaries between those disciplines that play a role in what is coming to be called ‘network science. |
Table des matières
1 | |
Preliminaries 15 | 14 |
Mapping Networks | 49 |
Descriptive Analysis of Network Graph Characteristics | 79 |
Sampling and Estimation in Network Graphs | 123 |
Models for Network Graphs | 153 |
Network Topology Inference | 197 |
Modeling and Prediction for Processes on Network Graphs | 245 |
Analysis of Network Flow Data | 285 |
Graphical Models | 333 |
Glossary of Notation | 345 |
373 | |
381 | |
Autres éditions - Tout afficher
Statistical Analysis of Network Data: Methods and Models Eric D. Kolaczyk Aucun aperçu disponible - 2010 |
Expressions et termes fréquents
Abilene Abilene network additional adjacency matrix algorithm analysis of network approach Bayesian binary Chapter choice clustering coefficient common conditional conditional independence connected context corresponding defined degree distribution degree sequence described directed graphs discussion dynamic eigenvalues eigenvectors elements epidemic ERGMs example exponential Figure flow volumes function Gaussian gene given graph drawing graph G graphical models gravity model induced subgraph inference Internet Journal Kalman filtering kernel linear mapping Markov chain maximum likelihood measurements methods N₁ network data network graph nodes Note number of edges observed optimization origin-destination p-value packet pairs of vertices parameters partition paths prediction probability problem proposed random graph random graph models random variables regression relevant routers sampling Science Section shown social network Specifically standard statistical structure subgraph subset tion topology traffic matrix tree typically underlying variance vector visualization zero