ISBN-10:
1584880759
ISBN-13:
9781584880752
Pub. Date:
02/26/2002
Publisher:
Taylor & Francis
Analysis of Failure and Survival Data / Edition 1

Analysis of Failure and Survival Data / Edition 1

by Peter J. Smith

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Product Details

ISBN-13: 9781584880752
Publisher: Taylor & Francis
Publication date: 02/26/2002
Series: Chapman & Hall/CRC Texts in Statistical Science Series , #53
Edition description: New Edition
Pages: 266
Product dimensions: 6.25(w) x 9.25(h) x 0.70(d)

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 Data

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