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First Hitting Time Regression Models: Lifetime Data Analysis Based on Underlying Stochastic Processes (Mathematical Models and Methods in Reliability Set, Band 4) - Hardcover

Caroni, Chrysseis

 
9781848218895: First Hitting Time Regression Models: Lifetime Data Analysis Based on Underlying Stochastic Processes (Mathematical Models and Methods in Reliability Set, Band 4)
Hardcover
ISBN 10: 1848218893 ISBN 13: 9781848218895
Verlag: Wiley-ISTE, 2017

Inhaltsangabe

This book aims to promote regression methods for analyzing lifetime (or time-to-event) data that are based on a representation of the underlying process, and are therefore likely to offer greater scientific insight compared to purely empirical methods.

In contrast to the rich statistical literature, the regression methods actually employed in lifetime data analysis are limited, particularly in the biomedical field where D. R. Cox’s famous semi-parametric proportional hazards model predominates. Practitioners should become familiar with more flexible models. The first hitting time regression models (or threshold regression) presented here represent observed events as the outcome of an underlying stochastic process. One example is death occurring when the patient’s health status falls to zero, but the idea has wide applicability – in biology, engineering, banking and finance, and elsewhere. The central topic is the model based on an underlying Wiener process, leading to lifetimes following the inverse Gaussian distribution. Introducing time-varying covariates and many other extensions are considered. Various applications are presented in detail.

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Über die Autorin bzw. den Autor

Chrysseis Caroni is Professor in the Department of Mathematics, National Technical University of Athens, Greece. She holds a PhD in Statistics from Southampton University, UK. Her research focuses on reliability and survival analysis, and on methods for detecting outliers.

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Verlag
Wiley-ISTE
Erscheinungsdatum
2017
Sprache
Englisch
ISBN 10 
1848218893
ISBN 13 
9781848218895
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
208
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