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.
Author(s): David D. Hanagal
Series: Industrial And Applied Mathematics
Publisher: Springer
Year: 2019
Language: English
Pages: 307
Tags: Statistics For Life Sciences, Medicine, Health Sciences, Survival Data
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
