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This book is made of different research problems which have in common the presence of latent variables. In the first part undirected and directed graphical models are considered and in the case of Gaussian continuous variables the author shows that the specification of a complex multivariate distribution through univariate regressions induced by a Directed Acyclic Graph (DAG) can be regarded as a simplification. The Expectation-Maximization algorithm is considered for the maximum likelihood estimation of the model parameters and the author illustrates a method for obtaining an explicit...

Drawing on the authors' extensive research in the analysis of categorical longitudinal data, Latent Markov Models for Longitudinal Data focuses on the formulation of latent Markov models and the practical use of these models. Numerous examples illustrate how latent Markov models are used in economics, education, sociology, and other fields. The R and MATLAB^(r) routines used for the examples are available on the authors' website.

The book provides you with the essential background on latent variable models, particularly the latent class model. It...

Drawing on the authors’ extensive research in the analysis of categorical longitudinal data, this book focuses on the formulation of latent Markov models and the practical use of these models. It demonstrates how to use the models in three types of analysis, with numerous examples illustrating how latent Markov models are used in economics, educ