Survival and Event History Analysis | Buch

Cover: 9780387202877 | Survival and Event History Analysis | A Process Point of View | Buch

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Sprache: Englisch

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Beschreibung

The aim of this book is to bridge the gap between standard textbook models and a range of models where the dynamic structure of the data manifests itself fully. The common denominator of such models is stochastic processes. The authors show how counting processes, martingales, and stochastic integrals fit very nicely with censored data. Beginning with standard analyses such as Kaplan-Meier plots and Cox regression, the presentation progresses to the additive hazard model and recurrent event data. Stochastic processes are also used as natural models for individual frailty; they allow sensible interpretations of a number of surprising artifacts seen in population data.

The stochastic process framework is naturally connected to causality. The authors show how dynamic path analyses can incorporate many modern causality ideas in a framework that takes the time aspect seriously.

To make the material accessible to the reader, a large number of practical examples, mainly frommedicine, are developed in detail. Stochastic processes are introduced in an intuitive and non-technical manner. The book is aimed at investigators who use event history methods and want a better understanding of the statistical concepts. It is suitable as a textbook for graduate courses in statistics and biostatistics.

Zusammenfassung

This book is practical and directed to people who want to apply the methods with reference to computer programs.

Inhaltsverzeichnis

An introduction to survival and event history analysis.- Stochastic processes in event history analysis.- Nonparametric analysis of survival and event history data.- Regression models.- Parametric counting process models.- Unobserved heterogeneity: The odd effects of frailty.- Multivariate frailty models.- Marginal and dynamic models for recurrent events and clustered survival data.- Causality.- First passage time models: Understanding the shape of the hazard rate.- Diffusion and L#x00E9;vy process models for dynamic frailty.

Erscheinungsjahr:	2008
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	Statistics for Biology and Health
Inhalt:	xviii 541 S.
ISBN-13:	9780387202877
ISBN-10:	0387202870
Sprache:	Englisch
Herstellernummer:	10942925
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Aalen, Odd Gjessing, Hakon Borgan, Ornulf
Hersteller:	Springer New York Springer US, New York, N.Y. Statistics for Biology and Health
Maße:	241 x 160 x 36 mm
Von/Mit:	Odd Aalen (u. a.)
Erscheinungsdatum:	12.08.2008
Gewicht:	0,998 kg

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