Frailty Models in Survival Analysis (Hardcover, 1st)

Introduction
Goals and outline
Examples

Survival Analysis
Basic concepts in survival analysis
Censoring and truncation
Parametric models
Estimation of survival and hazard functions
Regression models
Identifiability problems

Univariate Frailty Models
The concept of univariate frailty
Discrete frailty model
Gamma frailty model
Log-normal frailty model
Inverse Gaussian frailty model
Positive stable frailty model
PVF frailty model
Compound Poisson frailty model
Quadratic hazard frailty model
Levy-type frailty models
Log-t frailty model
Univariate frailty cure models
Missing covariates in proportional hazard models

Shared Frailty Models
Marginal versus frailty model
The concept of shared frailty
Shared gamma frailty model
Shared log-normal frailty model
Shared positive stable frailty model
Shared compound Poisson/PVF frailty model
Shared frailty models more general
Dependence measures
Limitations of the shared frailty model

Correlated Frailty Models
The concept of correlated frailty
Correlated gamma frailty model
Correlated log-normal frailty model
MCMC methods for the correlated log-normal frailty model
Correlated compound Poisson frailty model
Correlated quadratic hazard frailty model
Other correlated frailty models
Bivariate frailty cure models
Comparison of different estimation strategies
Dependent competing risks in frailty models

Copula Models
Shared gamma frailty copula
Correlated gamma frailty copula
General correlated frailty copula
Cross-ratio function

Different Aspects of Frailty Modeling
Dependence and interaction between frailty and observed covariates
Cox model with general Gaussian random effects
Nested frailty models
Recurrent event time data
Tests for heterogeneity
Log-rank test in frailty models
Time-dependent frailty models
Identifiability of frailty models
Applications of frailty models
Software for frailty models

Appendix

References

Index