Analysis of Survival Data with Dependent Censoring

Description

This book introduces readers to copula-based statistical methods for analyzing survival data involving dependent censoring. Primarily focusing on likelihood-based methods performed under copula models, it is the first book solely devoted to the problem of dependent censoring. The book demonstrates the advantages of the copula-based methods in the context of medical research, especially with regard to cancer patients’ survival data. Needless to say, the statistical methods presented here can also be applied to many other branches of science, especially in reliability, where survival analysis plays an important role. The book can be used as a textbook for graduate coursework or a short course aimed at (bio-) statisticians. To deepen readers’ understanding of copula-based approaches, the book provides an accessible introduction to basic survival analysis and explains the mathematical foundations of copula-based survival models. Front Matter ....Pages i-xiii Setting the Scene (Takeshi Emura, Yi-Hau Chen)....Pages 1-8 Introduction to Survival Analysis (Takeshi Emura, Yi-Hau Chen)....Pages 9-26 Copula Models for Dependent Censoring (Takeshi Emura, Yi-Hau Chen)....Pages 27-40 Analysis of Survival Data Under an Assumed Copula (Takeshi Emura, Yi-Hau Chen)....Pages 41-55 Gene Selection and Survival Prediction Under Dependent Censoring (Takeshi Emura, Yi-Hau Chen)....Pages 57-70 Future Developments (Takeshi Emura, Yi-Hau Chen)....Pages 71-73 Back Matter ....Pages 75-84