Modeling Survival Data Using Frailty Models

Description

This book presents the basic concepts of survival analysis and frailty models, covering both fundamental and advanced topics. It focuses on applications of statistical tools in biology and medicine, highlighting the latest frailty-model methodologies and applications in these areas. After explaining the basic concepts of survival analysis, the book goes on to discuss shared, bivariate, and correlated frailty models and their applications. It also features nine datasets that have been analyzed using the R statistical package. Covering recent topics, not addressed elsewhere in the literature, this book is of immense use to scientists, researchers, students and teachers. Front Matter ....Pages i-xxiv Front Matter ....Pages 1-1 Introduction to Survival Analysis (David D. Hanagal)....Pages 3-18 Some Parametric Models (David D. Hanagal)....Pages 19-47 Nonparametric and Semiparametric Models (David D. Hanagal)....Pages 49-70 Front Matter ....Pages 71-71 The Frailty Concept (David D. Hanagal)....Pages 73-83 Various Frailty Models (David D. Hanagal)....Pages 85-121 Estimation Methods for Shared Frailty Models (David D. Hanagal)....Pages 123-134 Analysis of Survival Data in Shared Frailty Models (David D. Hanagal)....Pages 135-151 Tests of Hypotheses in Frailty Models (David D. Hanagal)....Pages 153-163 Shared Gamma Frailty Models (David D. Hanagal)....Pages 165-190 Shared Gamma Frailty Models Based on Reversed Hazard (David D. Hanagal)....Pages 191-211 Comparison of Gamma and Inverse Gaussian Frailty Models (David D. Hanagal)....Pages 213-248 Front Matter ....Pages 249-249 Correlated Frailty Models (David D. Hanagal)....Pages 251-268 Correlated Gamma and Inverse Gaussian Frailty Models (David D. Hanagal)....Pages 269-278 Correlated Frailty Models Based on Reversed Hazard (David D. Hanagal)....Pages 279-292 Back Matter ....Pages 293-295