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Statistical Models and Methods for Lifetime Data

ISBN-10: 0471372153

ISBN-13: 9780471372158

Edition: 2nd 2003 (Revised)

Authors: Jerald F. Lawless

List price: $194.00
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Book details

List price: $194.00
Edition: 2nd
Copyright year: 2003
Publisher: John Wiley & Sons, Incorporated
Publication date: 11/27/2002
Binding: Hardcover
Pages: 664
Size: 6.44" wide x 9.35" long x 1.50" tall
Weight: 2.552
Language: English

Preface to Second Edition
Preface to First Edition
Basic Concepts and Models
Introduction
Lifetime Distributions
Continuous Models
Discrete Models
A General Formulation
Some Remarks on the Hazard Function
Some Important Models
The Exponential Distribution
The Weibull Distribution
The Log-Normal Distribution
The Log-Logistic Distribution
The Gamma Distribution
Log-Location-Scale Models
The Inverse Gaussian Distribution
Models with Piecewise Constant or Polynomial Hazard Functions
Some Other Models
Mixture Models
Regression Models
Multiple Lifetimes and Multiple Modes of Failure
Some Comments on Model Selection and Statistical Analysis
Bibliographic Notes
Computational Notes
Problems and Supplements
Observation Schemes, Censoring, and Likelihood
Introduction
Right Censoring and Maximum Likelihood
Some Types of Right Censoring
A General Formulation of Right Censoring
Likelihood Inference with Censored Data
Other Types of Incomplete Data
Intermittent Observation and Interval Censoring
Double Censoring
Remarks on Missing Data
Truncation and Selection Effects
Delayed Entry and Left Truncation
Retrospective Observation and Selection Effects
Information and Design Issues
Bibliographic Notes
Problems and Supplements
Some Nonparametric and Graphical Procedures
Introduction
Nonparametric Estimation of a Survivor Function and Quantiles
The Product-Limit Estimate
The Nelson-Aalen Estimate
Interval Estimation of Survival Probabilities or Quantiles
Asymptotic Properties of Estimators
Descriptive and Diagnostic Plots
Plots Involving Survivor or Cumulative Hazard Functions
Classic Probability Plots
Estimation of Hazard or Density Functions
General Remarks
Some Simple Procedures and an Example
Methods for Truncated and INterval Censored Data
Left-Truncated Data
Right-Truncated Data
Interval-Censored Data
Life Tables
Standard Life Table Methods
Theory for Life Table Methodology
Bibliographic Notes
Computational Notes
Problems and Supplements
Inference Procedures for Parametric Models
Inference Procedures for Exponential Distributions
Methods Based on Large-Sample Theory
Exact Methods for Certain Life Tests
Comparison of Distributions
Planning Experiments or Life Tests
Inference Procedures for Some Other Models
The Gamma Distribution
The Inverse Gaussian Distribution
Models with Polynomial-Based Hazard Functions
Grouped, Interval Censored, or Truncated Data
Grouped Lifetimes
Interval-Censored Data
Truncated Data
Mixture Models
Threshold Parameters
General Remarks
The Three-Parameter Weibull Distribution
The Two-Parameter Exponential Distribution
Prediction Intervals
Bibliographic Notes
Computational Notes
Problems and Supplements
Inference Procedures for Log-Location-Scale Distributions
Inference for Location-Scale Distributions
Likelihood-Based Methods
Exact Procedures Under Type 2 Censoring
Weibull and Extreme-Value Distributions
Likelihood-Based Inference Procedures
Exact Confidence Intervals Under Type 2 Censoring
Log-Normal and Log-Logistic Distributions
Inferences for Log-Normal and Normal Models
Inferences for Log-Logistic and Logistic Models
Examples
Comparison of Distributions
General Methods for Comparing (Log-) Location-Scale Distributions
Comparison of Weibull or Extreme Value Distributions
Comparison of Log-Normal or Log-Logistic Distributions
Models with Additional Shape Parameters
Introduction
The Generalized Log-Burr Distribution
The Generalized Log-Gamma Distribution
Planning Experiments or Life Tests
Information Calculations Under Type 1 or Type 2 Censoring
Formal Tests and Acceptance Procedures
An Example
Bibliographic Notes
Computational Notes
Problems and Supplements
Parametric Regression Models
Introduction
Log-Location-Scale (Accelerated Failure Time) Regression Models
Proportional Hazards Regression Models
Other Regression Models
Graphical Methods and Model Assessment
Looking for Models
Assessment of Fitted Models
Inference for Log-Location-Scale (Accelerated Failure Time) Models
Likelihood Methods
Weibull and Extreme Value Regression Models
Normal-Log-Normal and Logistic-Log-Logistic Regression Models
Some Comments on Least Squares, Robustness, and Efficiency
Experimental Design
Extensions of Log-Location-Scale Models
Families of Error Distributions
Variable Scale Parameters
Time-Varying Covariates
Some Other Models
Hazard-Based Models
Mechanistic Models
Transformations and Some Other Models
Bibliographic Notes
Computational Notes
Problems and Supplements
Semiparametric Multiplicative Hazards Regression Models
Methods for Continuous Multiplicative Hazards Models
Estimation and Tests for [beta]
Comparison of Two or More Lifetime Distributions
Justification and Properties of the Likelihood Function L([beta])
Adjustments for Tied Lifetimes
Estimation of H[subscript 0](t) or S[subscript 0](t)
Stratification
Left Truncation and Delayed Entry
Time-Varying Covariates
Model Checking
Examples
Methods for Grouped or Discrete Lifetimes
Regression Analysis of Grouped Lifetimes
Testing the Equality of Distributions with Grouped Data
Discrete-Time Hazard-Based Models
Semiparametric Maximum Likelihood
Estimation from Continuous Observation
Estimation from Incomplete Data
Bibliographic Notes
Computational Notes
Problems and Supplements
Rank-Type and Other Semiparametric Procedures for Log-Location-Scale Models
Rank Tests for Comparing Distributions
Linear Rank Tests for the m-Sample Problem
The Exponential Ordered Scores (Log Rank) Test with Censored Data
The Generalized Wilcoxon Test with Censored Data
Counting Process Formulation of m-Sample Tests
Discussion and Examples
Estimation for Semiparametric AFT Models
Rank-Based Procedures with Fixed Covariates
Rank-Type Procedures with Time-Varying Covariates
Discussion
Bibliographic Notes
Computational Notes
Problems and Supplements
Multiple Modes of Failure
Introduction
Basic Characteristics and Model Specification
Likelihood Function Formulation
Nonparametric Methods
Parametric Methods
Grouped or Discrete Data
Semiparametric Methods for Multiplicative Hazards Models
Estimation of Cumulative Incidence Functions
Bibliographic Notes
Problems and Supplements
Goodness-of-Fit Tests
Introduction
Some General Methods of Testing Fit
Tests Based on Comparing Empirical and Hypothesized Distributions
Model Expansion and Smooth Tests
Tests Based on Grouped Data
Tests of Fit for Specific Distributions
Tests of Fit for the Exponential Distribution
Tests of Fit for the Weibull and Extreme Value Distributions
Tests of Fit for the Normal and Log-Normal Distributions
Additional Remarks
Tests of Fit with Regression Models
General Remarks
Location-Scale Regression Models
Multiplicative Hazards Models
Bibliographic Notes
Problems and Supplements
Beyond Univariate Survival Analysis
Introduction
Multivariate Lifetime Distributions and Clustered Lifetimes
Multivariate Lifetime Distributions
Maximum Likelihood and Pseudolikelihood Methods
An Example
Sequences of Lifetimes
Some Models and Methods
An Example
General Event History Processes
Failure and Related Processes
Some Context and Objectives
Some Approaches to Modeling and Analysis
Bibliographic Notes
Computational Notes
Problems and Supplements
Appendices
Glossary of Notation and Abbreviations
Notation and Symbols
Abbreviations
Asymptotic Variance Formulas, Gamma Functions, and Order Statistics
Asymptotic Variance Formulas
Gamma Functions
Order Statistics
Large-Sample Theory for Likelihood and Estimating Function Methods
Maximum Likelihood Large-Sample Theory
Asymptotic Results and Large-Sample Methods
Marginal, Conditional, and Partial Likelihoods
Estimating Function Asymptotics
Computational Methods and Simulation
Optimization Methods for Maximum Likelihood
Simulation and Bootstrap Methods
Parametric Bootstrap
Nonparametric Bootstrap
Additional Remarks
Inference in Location-Scale Parameter Models
Equivariant Statistics
Pivotals and Ancillaries
Confidence Intervals
Regression Models
Martingales and Counting Processes
Martingales
Counting Processes and Survival Models
Data Sets
Transfusion-Related AIDS Data
Times to First Pulmonary Exacerbation
Breaking Strengths of Carbon Fibers
Lifetimes of Steel Specimens
VA Lung Cancer Survival Data
Survival Times for Persons with Lupus Nephritis
Primary Biliary Cirrhosis (PBC) Data
Diabetic Retinopathy Study Data
Stanford Heart Transplant Data
Colon Cancer Recurrence and Survival Data
References
Author Index
Subject Index