Classical Competing Risks (Hardcover)

CONTINUOUS FAILURE TIMES AND THEIR CAUSES
Basic Probability Functions
Some Small Data Sets
Hazard Functions
Regression Models
PARAMETRIC LIKELIHOOD INFERENCE
The Likelihood for Competing Risks
Model Checking
Inference
Some Examples
Masked Systems
LATENT FAILURE TIMES: PROBABILITY DISTRIBUTIONS
Basic Probability Functions
Some Examples
Marginal vs. Sub-Distributions
Independent Risks
A Risk-Removal Model
LIKELIHOOD FUNCTIONS FOR UNIVARIATE SURVIVAL DATA
Discrete and Continuous Failure Times
Discrete Failure Times: Estimation
Continuous Failure Times: Random Samples
Continuous Failure Times: Explanatory Variables
Discrete Failure Times Again
Time-Dependent Covariates
DISCRETE FAILURE TIMES IN COMPETING RISKS
Basic Probability Functions
Latent Failure Times
Some Examples Based on Bernoulli Trials
Likelihood Functions
HAZARD-BASED METHODS FOR CONTINUOUS FAILURE TIMES
Latent Failure Times vs. Hazard Modelling
Some Examples of Hazard Modelling
Nonparametric Methods for Random Samples
Proportional Hazards and Partial Likelihood
LATENT FAILURE TIMES: IDENTIFIABILITY CRISES
The Cox-Tsiatis Impasse
More General Identifiability Results
Specified Marginals
Discrete Failure Times
Regression Case
Censoring of Survival Data
Parametric Identifiability
MARTINGALE COUNTING PROCESSESES IN SURVIVAL DATA
Introduction
Back to Basics: Probability Spaces and Conditional Expectation
Filtrations
Martingales
Counting Processes
Product Integrals
Survival Data
Non-parametric Estimation
Non-parametric Testing
Regression Models
Epilogue
APPENDIX 1: Numerical Maximisation of Likelihood Functions
APPENDIX 2: Bayesian Computation
Bibliography
Index