The Cox Model and Its Applications

Front Cover
Springer, Apr 11, 2016 - Mathematics - 124 pages
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.
 

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Contents

Several Classical Data Examples for Survival Analysis
1
2 Elements of Survival Analysis
9
3 The Cox Proportional Hazards Model
35
4 The AFT GPH LT Frailty and GLPH Models
53
5 CrossEffect Models of Survival Functions
63
6 The Simple CrossEffect Model
71
7 GoodnessofFit for the Cox Model
81
8 Remarks on Computations in Parametric and Semiparametric Estimation
101
9 Cox Model for Degradation and Failure Time Data
109
References
115
Index
121
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About the author (2016)

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.