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Proportional Hazards Regression

  • Book
  • © 2008

Overview

Authors:
  1. John O'Quigley

    1. Institut Curie, 75005, France

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  • This text differs from most recent works in that it is mostly concerned with methodological issues rather than the analysis itself
  • Includes supplementary material: sn.pub/extras

Part of the book series: Statistics for Biology and Health (SBH)

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-xvii
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  2. Introduction

    Pages 1-11

  3. Background: Probability

    Pages 13-62

  4. Background: General inference

    Pages 63-101

  5. Background: Survival analysis

    Pages 103-127

  6. Marginal survival

    Pages 129-150

  7. Regression models and subject heterogeneity

    Pages 151-202

  8. Inference: Estimating equations

    Pages 203-230

  9. Inference: Functions of Brownian motion

    Pages 231-266

  10. Inference: Likelihood

    Pages 267-293

  11. Inference: Stochastic integrals

    Pages 295-309

  12. Inference: Small samples

    Pages 311-330

  13. Inference: Changepoint models

    Pages 331-358

  14. Explained variation

    Pages 359-405

  15. Explained randomness

    Pages 407-436

  16. Survival given covariates

    Pages 437-461

  17. Proofs of theorems, lemmas and corollaries

    Pages 463-475

  18. Back Matter

    Pages 477-542
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Keywords

About this book

Proportional hazards models and their extensions (models with ti- dependent covariates, models with time dependent regression co- cients, models with random coe?cients and any mixture of these) can be used to characterize just about any applied problem to which the techniques of survival analysis are appropriate. This simple obser- tion enables us to ?nd an elegant statistical expression for all plausible practical situations arising in the analysis of survival data. We have a single unifying framework. In consequence, a solid understanding of the framework itself o?ers the statistician the ability to tackle the thorniestofquestionswhichmayarisewhendealingwithsurvivaldata. The main goal of this text is not to present or review the very s- stantial amount of research that has been carried out on proportional hazards and related models. Rather, the goal is to consider the many questions which are of interest in a regression analysis of survival data (prediction, goodness of ?t, model construction, inference and int- pretation in the presence of misspeci?ed models) from the standpoint of the proportional hazards and the non-proportional hazards models.

Reviews

From the reviews:

"The book is clearly intended to be student-friendly. Each chapter begins with a section called Summary and a following one called motivation; each chapter ends with some exercises and class projects. … It is very carefully written, with detailed explanation and discussion everywhere. … I believe that the book can be thoroughly recommended to the student starting his research in the field and to the practitioner who needs to understand some of the theory." (Martin Crowder, International Statistical Review, Vol. 76 (3), 2008)

Authors and Affiliations

  • Institut Curie, 75005, France

    John O'Quigley

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