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Analysis of Multivariate Survival Data
ISBN-13:
9781461213048
Veröffentl:
2012
Seiten:
542
Autor:
Philip Hougaard
Serie:
Statistics for Biology and Health
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
Survival data or more general time-to-event data occur in many areas, including medicine, biology, engineering, economics, and demography, but previously standard methods have requested that all time variables are univariate and independent. This book extends the field by allowing for multivariate times. As the field is rather new, the concepts and the possible types of data are described in detail. Four different approaches to the analysis of such data are presented from an applied point of view.
Introduction.- Univariate survival data.- Dependence structures.- Bivariate dependence measures.- Probability aspects of multi-state models.- Statistical inference for multi-state models.- Shared frailty models.- Statistical inference for shared frailty models.- Shared frailty models for recurrent events.- Multivariate frailty models.- Instantaneous and short-term frailty models.- Competing risks models.- Marginal and copula modelling.- Multivariate non-parametric estimates.- Summary.- Mathematical results.- Iterative solutions.- References.- Index.
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