Survival Analysis: Proportional and Non-Proportional Hazards Regression

Cover
Springer Nature, 27.04.2021 - 475 Seiten

This book provides an extensive coverage of the methodology of survival analysis, ranging from introductory level material to deeper more advanced topics. The framework is that of proportional and non-proportional hazards models; a structure that is broad enough to enable the recovery of a large number of established results as well as to open the way to many new developments. The emphasis is on concepts and guiding principles, logical and graphical. Formal proofs of theorems, propositions and lemmas are gathered together at the end of each chapter separate from the main presentation.

The intended audience includes academic statisticians, biostatisticians, epidemiologists and also researchers in these fields whose focus may be more on the applications than on the theory. The text could provide the basis for a two semester course on survival analysis and, with this goal in mind, each chapter includes a section with a range of exercises as a teaching aid for instructors.


 

Inhalt

1 Introduction
1
2 Survival analysis methodology
19
3 Survival without covariates
48
4 Proportional hazards models
75
5 Proportional hazards models in epidemiology
96
6 Nonproportional hazards models
119
7 Modelbased estimating equations
141
8 Survival given covariate information
191
11 Hypothesis tests based on regression effect process
301
A Probability
351
B Stochastic processes
376
C Limit theorems
401
D Inferential tools
413
E Simulating data under the nonproportional hazards model
432
Further exercises and proofs
439
Bibliography
448

9 Regression effect process
215
10 Model construction guided by regression effect process
260

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Autoren-Profil (2021)

John O’Quigley is professor of statistics in the Department of Statistical Science, University College London. Professor O'Quigley's academic career began as MRC research scientist at the University of Leeds, U.K., a stint followed by several positions in France, the most recent being in the Laboratory of Probability, Statistics and Modelling, University of Paris – Sorbonne. The most significant part of Professor O’Quigley’s career has been spent in the United States, mainly in the Department of Mathematics, University of California San Diego during which time he was a tenured full professor of mathematics. He was also Director of the Laboratory for Mathematics and Statistics. Prior to that Professor O’Quigley was a researcher at the Fred Hutchinson Cancer Research Center and the Department of Biostatistics, University of Washington, Seattle. Several years were also spent as full professor at the University of Virginia Medical School as well as the Department of Mathematics at Lancaster University, U.K.

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