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Analysis of Failure and Survival Data

By Peter J. Smith

Series Editor: Chris Chatfield, Jim Zidek, Jim Lindsey

Chapman and Hall/CRC – 2002 – 264 pages

Series: Chapman & Hall/CRC Texts in Statistical Science

Purchasing Options:

  • INVD:
    978-1-42-005773-7
    February 25th 2002
    Out-of-print
  • Add to CartPaperback: $92.95
    978-1-58488-075-2
    February 26th 2002

Description

Analysis of Failure and Survival Data is an essential textbook for graduate-level students of survival analysis and reliability and a valuable reference for practitioners. It focuses on the many techniques that appear in popular software packages, including plotting product-limit survival curves, hazard plots, and probability plots in the context of censored data. The author integrates S-Plus and Minitab output throughout the text, along with a variety of real data sets so readers can see how the theory and methods are applied. He also incorporates exercises in each chapter that provide valuable problem-solving experience.

In addition to all of this, the book also brings to light the most recent linear regression techniques. Most importantly, it includes a definitive account of the Buckley-James method for censored linear regression, found to be the best performing method when a Cox proportional hazards method is not appropriate.

Applying the theories of survival analysis and reliability requires more background and experience than students typically receive at the undergraduate level. Mastering the contents of this book will help prepare students to begin performing research in survival analysis and reliability and provide seasoned practitioners with a deeper understanding of the field.

Reviews

" This book begins with a broad and basic introduction to methods for handling censored failure time data, applying these to both medical and reliability data. It then focuses intensively on the Buckley-James generalizations of the linear model for censored data. This is in contrast to most texts in this field, which focus the discussion of regression models on the theory and application of the proportional hazards (Cox) model. This book is of interest both as an easily comprehended introduction to survival analysis (with medical and reliability applications) and as an in-depth reference on the Buckley-James linear failure time model. … For a researcher with little background in failure time methods and with an interest in focusing on the extension of linear models to censored data, Analysis of Failure and Survival Data could be a useful contribution."

-Technometrics, November 2002

"…the depth and breadth of the coverage constitutes the novel and useful contribution of this text to the current collection of texts on survival analysis… Students new to the concepts of censored data analysis will find the first nine chapters informative and useful, and research specialists in survival analysis will find the last two chapters enlightening and broadening… Throughout the book, the material is presented clearly, and emphasis is placed on explaining the ideas that drive the methodology. …Also refreshing is the use of non-biomedical examples for illustrations…"

- Journal of the American Statistical Association, September 2003

"Throughout the text the author helpfully highlights definitions and important results and his style of writing is clear. …this is a good book for a reader who is new to the area. …Certainly I am pleased to have a copy on my shelves."

-A. C. Kimber, Biometrics, December 2002

Contents

SURVIVAL DISTRIBUTIONS

Basic Concepts

Survival Functions

Using Data to Estimate the Survival Function

Mean Time to Failure

Towards the Hazard Function

Life Expectancy at Age t

HAZARD MODELS

The Constant Hazard Model

The Power Hazard Model\

Exponential Hazards

Other Hazards

IFR

RELIABILITY OF SYSTEMS

Coherent Systems and Structure Functions

Simple Reliability

Independent Components

Paths and Cuts

Associated Components

Time Dependent Reliability

DATA PLOTS

Empirical Survivor Function

Sample Quantile Function

Probability Plots

Hazard Plots

CENSORING AND LIFETABLES

Truncation

Type I Censoring

Type II Censoring

Lifetable Estimates

Greenwood's Formula

THE PRODUCT-LIMIT ESTIMATOR

Notation

Self-Consistency

Standard Errors

Redistribute-to-the-Right Algorithm

Hazard Plotting

QQ-Plots for Censored Data

PARAMETRIC SURVIVAL MODELS UNDER CENSORING

Likelihood: Type I Censoring

Likelihood: Type II Censoring

Likelihood: Random Censoring

Maximum Likelihood Procedures

The Exponential Model

The Weibull Model

PARAMETRIC REGRESSION MODELS

Basic Concepts of Proportional Hazards

Proportional Hazards for Weibull Data

Basic Concepts of Accelerated Lifetimes

Accelerated Lifetimes for Weibull Data

Diagnostics for Choosing Between Models

Model Fitting

COX PROPORTIONAL HAZARDS

The Cox Model

Maximum Likelihood Procedures

P = 1 and the Log-Rank Test

Estimating Baseline Survival

LINEAR REGRESSION WITH CENSORED DATA

Introduction

Miller's Method

Koul-Susarla-Van Ryzin Estimators

Buckley-James Regression Methods

Multivariate Designs

Properties of Buckley-James Estimators

Renovation and Least Squares

BUCKLEY-JAMES DIAGNOSTICS AND APPLICATIONS

Censored Regression Diagnostics

Applications to Heart Transplant Data

Plots of Renovated Data

Each chapter also contains exercises.

Name: Analysis of Failure and Survival Data (Paperback)Chapman and Hall/CRC 
Description: By Peter J. SmithSeries Editor: Chris Chatfield, Jim Zidek, Jim Lindsey. Analysis of Failure and Survival Data is an essential textbook for graduate-level students of survival analysis and reliability and a valuable reference for practitioners. It focuses on the many techniques that appear in popular software packages,...
Categories: Statistical Theory & Methods, Statistics for the Biological Sciences, SPC/Reliability/Quality Control