Statistical Modelling of Survival Data with Random Effects: H-Likelihood Approach

Description

This book provides a groundbreaking introduction to the likelihood inference for correlated survival data via the hierarchical (or h-) likelihood in order to obtain the (marginal) likelihood and to address the computational difficulties in inferences and extensions. The approach presented in the book overcomes shortcomings in the traditional likelihood-based methods for clustered survival data such as intractable integration. The text includes technical materials such as derivations and proofs in each chapter, as well as recently developed software programs in R (“frailtyHL”), while the real-world data examples together with an R package, “frailtyHL” in CRAN, provide readers with useful hands-on tools. Reviewing new developments since the introduction of the h-likelihood to survival analysis (methods for interval estimation of the individual frailty and for variable selection of the fixed effects in the general class of frailty models) and guiding future directions, the book is of interest to researchers in medical and genetics fields, graduate students, and PhD (bio) statisticians. Front Matter ....Pages i-xiv Introduction (Il Do Ha, Jong-Hyeon Jeong, Youngjo Lee)....Pages 1-5 Classical Survival Analysis (Il Do Ha, Jong-Hyeon Jeong, Youngjo Lee)....Pages 7-36 H-Likelihood Approach to Random-Effect Models (Il Do Ha, Jong-Hyeon Jeong, Youngjo Lee)....Pages 37-65 Simple Frailty Models (Il Do Ha, Jong-Hyeon Jeong, Youngjo Lee)....Pages 67-104 Multicomponent Frailty Models (Il Do Ha, Jong-Hyeon Jeong, Youngjo Lee)....Pages 105-123 Competing Risks Frailty Models (Il Do Ha, Jong-Hyeon Jeong, Youngjo Lee)....Pages 125-171 Variable Selection for Frailty Models (Il Do Ha, Jong-Hyeon Jeong, Youngjo Lee)....Pages 173-197 Mixed-Effects Survival Models (Il Do Ha, Jong-Hyeon Jeong, Youngjo Lee)....Pages 199-227 Joint Model for Repeated Measures and Survival Data (Il Do Ha, Jong-Hyeon Jeong, Youngjo Lee)....Pages 229-243 Further Topics (Il Do Ha, Jong-Hyeon Jeong, Youngjo Lee)....Pages 245-260 Back Matter ....Pages 261-283