Dependence Models via Hierarchical Structures

Reviews / Votes

'Luis Nieto-Barajas has been making wonderful contributions to the Bayesian nonparametrics literature for many years, and it is exciting to see this new book on the important topic of inducing dependence in statistical models via intricate hierarchical structures. I plan to use this book as a reference for my students.' David B. Dunson, Duke University 'The book introduces Bayesian statistical modeling and inference from an unusual, but very meaningful perspective. The underlying organizing principle is based on increasingly more complex levels of modelling dependence subject to pre-specified marginals. The discussion starts with i.i.d. sampling and conjugate prior/likelihood pairs, continues with exchangeable models, moving on with Markov dependence, and finally arbitrary levels of dependence, including temporal and spatial dependence as special cases. The book could serve as a wonderful text for a second look at Bayesian statistical inference, from an unusual perspective. Using dependence structure as the main paradigm allows another view of familiar inference approaches. It is a great and inspiring text.' Peter Mueller, University of Texas at Austin 'This book presents a step-by-step approach to constructing dependence models with pre-specified marginals, covering a wide range of discrete-time stochastic processes, along with practical applications. It is a highly valuable and enriching resource for graduate students and researchers alike.' Igor Pruenster, University of Bocconi 'This monograph will be of interest to graduate or advanced undergraduate students that are looking for principled and elegant ways to construct models with stochastic dependence. The text goes from the simplest scenario (exchangeability) to more complicated spatio-temporal models. Many references and concrete examples are introduced and discussed in detail.' Fernando A. Quintana, Pontificia Universidad Catolica de Chile