Survival and Event History Analysis A Process Point of View

Time-to-event data are ubiquitous in fields such as medicine, biology, demography, sociology, economics and reliability theory. Recently, a need to analyze more complex event histories has emerged. Examples are individuals that move among several states,

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Statistics for Biology and Health Aalen/Borgan/Gjessing: Survival and Event History Analysis: A Process Point of View Bacchieri/Cioppa: Fundamentals of Clinical Research Borchers/Buckland/Zucchini: Estimating Animal Abundance: Closed Populations Burzykowski/Molenberghs/Buyse: The Evaluation of Surrogate Endpoints Duchateau/Janssen: The Frailty Model Everitt/Rabe-Hesketh: Analyzing Medical Data Using S-PLUS Ewens/Grant: Statistical Methods in Bioinformatics: An Introduction, 2nd ed. Gentleman/Carey/Huber/Irizarry/Dudoit: Bioinformatics and Computational Biology Solutions Using R and Bioconductor Hougaard: Analysis of Multivariate Survival Data Keyfitz/Caswell: Applied Mathematical Demography, 3rd ed. Klein/Moeschberger: Survival Analysis: Techniques for Censored and Truncated Data, 2nd ed. Kleinbaum/Klein: Survival Analysis: A Self-Learning Text, 2nd ed. Kleinbaum/Klein: Logistic Regression: A Self-Learning Text, 2nd ed. Lange: Mathematical and Statistical Methods for Genetic Analysis, 2nd ed. Manton/Singer/Suzman: Forecasting the Health of Elderly Populations Martinussen/Scheike: Dynamic Regression Models for Survival Data Moyé: Multiple Analyses in Clinical Trials: Fundamentals for Investigators Nielsen: Statistical Methods in Molecular Evolution O’Quigley: Proportional Hazards Regression Parmigiani/Garrett/Irizarry/Zeger: The Analysis of Gene Expression Data: Methods and Software Proschan/LanWittes: Statistical Monitoring of Clinical Trials: A Unified Approach Siegmund/Yakir: The Statistics of Gene Mapping Simon/Korn/McShane/Radmacher/Wright/Zhao: Design and Analysis of DNA Microarray Investigations Sorensen/Gianola: Likelihood, Bayesian, and MCMC Methods in Quantitative Genetics Stallard/Manton/Cohen: Forecasting Product Liability Claims: Epidemiology and Modeling in the Manville Asbestos Case Sun: The Statistical Analysis of Interval-censored Failure Time Data Therneau/Grambsch: Modeling Survival Data: Extending the Cox Model Ting: Dose Finding in Drug Development Vittinghoff/Glidden/Shiboski/McCulloch: Regression Methods in Biostatistics: Linear, Logistic, Survival, and Repeated Measures Models Wu/Ma/Casella: Statistical Genetics of Quantitative Traits: Linkage, Maps, and QTL Zhang/Singer: Recursive Partitioning in the Health Sciences Zuur/Ieno/Smith: Analysing Ecological Data

Odd O. Aalen • Ørnulf Borgan • Håkon K. Gjessing

Survival and Event History Analysis A Process Point of View

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Odd O. Aalen Department of Biostatistics Institute of Basic Medical Sciences University of Oslo Oslo, Norway [email protected]

Ørnulf Borgan Department of Mathematics University of Oslo Oslo, Norway [email protected]

Håkon K. Gjessing Norwegian Institute of Public Health Oslo, Norway and Section for Medical Statistics University of Bergen Bergen, Norway [email protected] Series Editors M. Gail National Cancer Institute Rockville, MD 20892 USA K. Krickeberg Le Chatelet F-63270 Manglieu France J. Samet Department of Epidemiology School of Public Health Johns Hopkins University 615 Wolfe Street Baltimore, MD