Analysis of Failure and Survival Data

Analysis of Failure and Survival Data

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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.show more

Product details

  • Paperback | 266 pages
  • 150.9 x 241.3 x 14.5mm | 381.02g
  • Taylor & Francis Inc
  • Chapman & Hall/CRC
  • Boca Raton, FL, United States
  • English
  • 2003.
  • 27 black & white illustrations
  • 1584880759
  • 9781584880752
  • 2,409,265

Review quote

"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 thearea. Certainly I am pleased to have a copy on my shelves." -A. C. Kimber, Biometrics, December 2002show more

Table of 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 FITTING 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 Datashow more