The Cox Model and Its Applications

ISBN-13: 9783662493311 / Angielski / Miękka / 2016 / 124 str.

Mikhail Nikulin; Hong-Dar Isaac Wu

Opis

This book will be of interest to readers active in the fields of survival analysis, genetics, ecology, biology, demography, reliability and quality control.
Since Sir David Cox s pioneering work in 1972, the proportional hazards model has become the most important model in survival analysis. The success of the Cox model stimulated further studies in semiparametric and nonparametric theories, counting process models, study designs in epidemiology, and the development of many other regression models that could offer more flexible or more suitable approaches in data analysis.Flexible semiparametric regression models are increasingly being used to relate lifetime distributions to time-dependent explanatory variables. Throughout the book, various recent statistical models are developed in close connection with specific data from experimental studies in clinical trials or from observational studies."

Recenzje

"This book discusses some important parametric models as well as several semiparametric regression models. ... The book is primarily aimed at students, biostatisticians, and researchers who are interested in the application of survival analysis and reliability theory in the areas of medicine, epidemiology, clinical trials, insurance, and social science. ... The chapters include figures and examples for better understanding. The book is well referenced." (Pooja Sethi, Doody's Book Reviews, July, 2016)

Spis treści

Introduction: Several Classical Data Examples for Survival Analysis.- Elements of Survival Analysis.- The Cox Proportional Hazards Model.- The AFT, GPH, LT, Frailty, and GLPH Models.- Cross-effect Models of Survival Functions.- The Simple Cross-effect Model.- Goodness-of-Fit for the Cox Model.- Remarks on Computations in Parametric and Semiparametric Estimation.- Cox Model for Degradation and Failure Time Data.- References.- Index.

O autorze

M.S. Nikulin received his Ph.D. at the V. Steklov Mathematical Institute in Moscow in (1973). He is a professor of statistics at the Bordeaux University since 1992. He is the author of 15 books and more than 200 papers.

Dr H.-D. I. Wu received his Ph.D. from the National Taiwan University and is currently an associate professor of statistics at the National Chung-Hsing University of Taiwan.