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Mathematical statistics. --- Longitudinal method. --- Statistique mathématique. --- Méthode longitudinale.

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Longitudinal method --- Psychology --- Méthode longitudinale --- Psychologie --- Research --- Recherche --- Analyse par cohorte --- Méthode longitudinale --- Analyse par cohorte. --- Psychology - Research

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During the last decades, there has been an explosion in computation and information technology. This development comes with an expansion of complex observational studies and clinical trials in a variety of fields such as medicine, biology, epidemiology, sociology, and economics among many others, which involve collection of large amounts of data on subjects or organisms over time. The goal of such studies can be formulated as estimation of a finite dimensional parameter of the population distribution corresponding to the observed time-dependent process. Such estimation problems arise in survival analysis, causal inference and regression analysis. This book provides a fundamental statistical framework for the analysis of complex longitudinal data. It provides the first comprehensive description of optimal estimation techniques based on time-dependent data structures subject to informative censoring and treatment assignment in so called semiparametric models. Semiparametric models are particularly attractive since they allow the presence of large unmodeled nuisance parameters. These techniques include estimation of regression parameters in the familiar (multivariate) generalized linear regression and multiplicative intensity models. They go beyond standard statistical approaches by incorporating all the observed data to allow for informative censoring, to obtain maximal efficiency, and by developing estimators of causal effects. It can be used to teach masters and Ph.D. students in biostatistics and statistics and is suitable for researchers in statistics with a strong interest in the analysis of complex longitudinal data.

Nonparametric statistics --- Longitudinal method --- Estimation theory --- Statistique non-paramétrique --- Méthode longitudinale --- Théorie de l'estimation --- Censored observations (Statistics) --- Estimation theory. --- Longitudinal method. --- Nonparametric statistics. --- Censored observations (Statistics).

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Mathematical statistics --- Longitudinal method --- Nonparametric statistics --- Regression analysis --- Méthode longitudinale --- Statistique non-paramétrique --- Analyse de régression --- Longitudinal method. --- Nonparametric statistics. --- Regression analysis. --- Méthode longitudinale --- Statistique non-paramétrique --- Analyse de régression

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Quantitative methods in social research --- Mathematical statistics --- Multivariate analysis --- Longitudinal method. --- Longitudinal method --- multivariaat --- regressie-analyse --- wiskundige statistiek --- Multivariate distributions --- Multivariate statistical analysis --- Statistical analysis, Multivariate --- Analysis of variance --- Matrices --- Longitudinal research --- Longitudinal studies --- Methodology --- Research --- Social sciences --- Multivariate analysis. --- Statistique mathématique. --- Analyse multivariée. --- Méthode longitudinale. --- Mathematical statistics.