Introduction to Graphical Modelling. Graphic modelling is a form of multivariate analysis that uses graphs to represent models. These graphs display the structure of dependencies, both associational and causal, between the variables in the model. This textbook provides an introduction to graphical modelling with emphasis on applications and practicalities rather than on a formal development. It is based on the popular software package for graphical modelling, MIM, a freeware version of which can be downloaded from the Internet. Following an introductory chapter which sets the scene and describes some of the basic ideas of graphical modelling, subsequent chapters describe particular families of models, including log-linear models, Gaussian models, and models for mixed discrete and continuous variables. Further chapters cover hypothesis testing and model selection. Chapters 7 and 8 are new to the second edition. Chapter 7 describes the use of directed graphs, chain graphs, and other graphs. Chapter 8 summarizes some recent work on causal inference, relevant when graphical models are given a causal interpretation. This book will provide a useful introduction to this topic for students and researchers.

References in zbMATH (referenced in 102 articles , 2 standard articles )

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  2. Li, Peili; Xiao, Yunhai: An efficient algorithm for sparse inverse covariance matrix estimation based on dual formulation (2018)
  3. Sadinle, Mauricio: Bayesian propagation of record linkage uncertainty into population size estimation of human rights violations (2018)
  4. Yang, Zhuoran; Ning, Yang; Liu, Han: On semiparametric exponential family graphical models (2018)
  5. Yuan, Xiao-Tong; Li, Ping; Zhang, Tong: Gradient hard thresholding pursuit (2018)
  6. Yuen, T. P.; Wong, H.; Yiu, K. F. C.: On constrained estimation of graphical time series models (2018)
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  8. Hirose, Kei; Fujisawa, Hironori; Sese, Jun: Robust sparse Gaussian graphical modeling (2017)
  9. Koldanov, Petr; Koldanov, Alexander; Kalyagin, Valeriy; Pardalos, Panos: Uniformly most powerful unbiased test for conditional independence in Gaussian graphical model (2017)
  10. Li, Benchong; Li, Yang: A note on faithfulness and total positivity (2017)
  11. Pensar, Johan; Nyman, Henrik; Corander, Jukka: Structure learning of contextual Markov networks using marginal pseudo-likelihood (2017)
  12. Lin, Lina; Drton, Mathias; Shojaie, Ali: Estimation of high-dimensional graphical models using regularized score matching (2016)
  13. Ma, Jing; Michailidis, George: Joint structural estimation of multiple graphical models (2016)
  14. Marchetti, Giovanni M.; Wermuth, Nanny: Palindromic Bernoulli distributions (2016)
  15. Miecznikowski, Jeffrey C.; Gaile, Daniel P.; Chen, Xiwei; Tritchler, David L.: Identification of consistent functional genetic modules (2016)
  16. Tunnicliffe Wilson, Granville: Atmospheric CO(_2) and global temperatures: the strength and nature of their dependence (2016)
  17. Zareifard, Hamid; Rue, Håvard; Khaledi, Majid Jafari; Lindgren, Finn: A skew Gaussian decomposable graphical model (2016)
  18. Zhao, Shiwen; Gao, Chuan; Mukherjee, Sayan; Engelhardt, Barbara E.: Bayesian group factor analysis with structured sparsity (2016)
  19. Ankinakatte, Smitha; Edwards, David: Modelling discrete longitudinal data using acyclic probabilistic finite automata (2015)
  20. Klimova, Anna; Uhler, Caroline; Rudas, Tamás: Faithfulness and learning hypergraphs from discrete distributions (2015)

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