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First Hitting Time Regression Models

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  • 200 Nombre de pages
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This book aims to promote regression methods for analyzing lifetime (or time-to-event) data that are based on a representation of... Lire la suite
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Description

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.



Auteur
Chrysseis Caroni, National Technical University of Athens, Greece.

Contenu

1. Introduction to Lifetime Data and Regression Models.

2. First Hitting Time Regression Models.

3. Model Fitting and Diagnostics.

4. Extensions to Inverse Gaussian First Hitting Time Regression Models.

5. Relationship of First Hitting Time Models to Proportional Hazards and Accelerated Failure Time Models.

6. Applications.

Informations sur le produit

Titre: First Hitting Time Regression Models
Sous-titre: Lifetime Data Analysis Based on Underlying Stochastic Processes
Auteur:
EAN: 9781119437222
ISBN: 978-1-119-43722-2
Format: eBook (epub)
Producteur: Wiley
Editeur: Wiley-Iste
Genre: Mathématiques
Parution: 17.07.2017
Protection contre la copie numérique: Adobe DRM
Taille de fichier: 5.6 MB
Nombre de pages: 200
Année: 2017