Analysis of Failure and Survival Data

ISBN-13: 9781584880752 / Angielski / Miękka / 2002 / 264 str.

P. Smith; Peter J. Smith

Opis

Analysis of Failure and Survival Data is an essential textbook for stu dents and practitioners of survival analysis and reliability. It integ rates the use of contemporary statistical software output throughout t he text along with a variety of real data sets so readers can see how theories and techniques are applied. It also incorporates exercises in each chapter so they can test their understanding of the material whi le gaining valuable problem-solving experience. The book also brings t o light the most recent linear regression techniques. Mastering the co ntents of this book will help prepare students to begin performing res earch in survival analysis and provide seasoned practitioners with a d eeper understanding of the field.

Recenzje

" 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

Spis treści

SURVIVAL DISTRIBUTIONSBasic ConceptsSurvival FunctionsUsing Data to Estimate the Survival FunctionMean Time to FailureTowards the Hazard FunctionLife Expectancy at Age t HAZARD MODELSThe Constant Hazard ModelThe Power Hazard Model\Exponential HazardsOther HazardsIFR RELIABILITY OF SYSTEMSCoherent Systems and Structure FunctionsSimple ReliabilityIndependent ComponentsPaths and CutsAssociated ComponentsTime Dependent Reliability DATA PLOTSEmpirical Survivor FunctionSample Quantile FunctionProbability PlotsHazard Plots CENSORING AND LIFETABLESTruncationType I CensoringType II CensoringLifetable EstimatesGreenwood's Formula THE PRODUCT-LIMIT ESTIMATORNotationSelf-ConsistencyStandard ErrorsRedistribute-to-the-Right AlgorithmHazard PlottingQQ-Plots for Censored Data PARAMETRIC SURVIVAL MODELS UNDER CENSORINGLikelihood: Type I CensoringLikelihood: Type II CensoringLikelihood: Random CensoringMaximum Likelihood ProceduresThe Exponential ModelThe Weibull Model FITTING PARAMETRIC REGRESSION MODELSBasic Concepts of Proportional HazardsProportional Hazards for Weibull DataBasic Concepts of Accelerated LifetimesAccelerated Lifetimes for Weibull DataDiagnostics for Choosing Between ModelsModel Fitting COX PROPORTIONAL HAZARDSThe Cox ModelMaximum Likelihood ProceduresP = 1 and the Log-Rank TestEstimating Baseline Survival LINEAR REGRESSION WITH CENSORED DATAIntroductionMiller's MethodKoul-Susarla-Van Ryzin EstimatorsBuckley-James Regression MethodsMultivariate DesignsProperties of Buckley-James EstimatorsRenovation and Least Squares BUCKLEY-JAMES DIAGNOSTICS AND APPLICATIONSCensored Regression DiagnosticsApplications to Heart Transplant DataPlots of Renovated Data

O autorze

Smith, Peter J.