Modeling Discrete Time-to-Event Data

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This book focuses on statistical methods for the analysis of discrete failure times. Failure time analysis is one of the most important fields in statistical research, with applications affecting a wide range of disciplines, in particular, demography, econometrics, epidemiology and clinical research. Although there are a large variety of statistical methods for failure time analysis, many techniques are designed for failure times that are measured on a continuous scale. In empirical studies, however, failure times are often discrete, either because they have been measured in intervals (e.g., quarterly or yearly) or because they have been rounded or grouped. The book covers well-established methods like life-table analysis and discrete hazard regression models, but also introduces state-of-the art techniques for model evaluation, nonparametric estimation and variable selection. Throughout, the methods are illustrated by real life applications, and relationships to survival analysis in continuous time are explained. Each section includes a set of exercises on the respective topics. Various functions and tools for the analysis of discrete survival data are collected in the R package discSurv that accompanies the book.

Author(s): Gerhard Tutz, Matthias Schmid (auth.)
Series: Springer Series in Statistics
Edition: 1
Publisher: Springer International Publishing
Year: 2016

Language: English
Pages: X, 247
Tags: Statistical Theory and Methods; Statistics for Life Sciences, Medicine, Health Sciences; Statistics for Social Science, Behavorial Science, Education, Public Policy, and Law; Statistics and Computing/Statistics Programs

Front Matter....Pages i-x
Introduction....Pages 1-13
The Life Table....Pages 15-34
Basic Regression Models....Pages 35-72
Evaluation and Model Choice....Pages 73-104
Nonparametric Modeling and Smooth Effects....Pages 105-127
Tree-Based Approaches....Pages 129-148
High-Dimensional Models: Structuring and Selection of Predictors....Pages 149-165
Competing Risks Models....Pages 167-184
Frailty Models and Heterogeneity....Pages 185-211
Multiple-Spell Analysis....Pages 213-223
Back Matter....Pages 225-247