Analysis of Survival Data

In: Chapman and Hall/CRC Monographs on Statistics and Applied Probability v.21

Abstract

Cover -- Title Page -- Copyright Page -- Table of Contents -- Preface -- 1: The scope of survival analysis -- 1.1 Introduction -- 1.2 The definition of failure times -- 1.3 Censoring -- 1.4 Other methods of analysis -- 1.5 Some examples -- 1.6 Computing -- Bibliographic notes, 1 -- Further results and exercises, 1 -- 2: Distributions of failure time -- 2.1 Introduction -- 2.2 Hazard function -- 2.3 Some special distributions -- 2.4 Comparison of distributions -- Bibliographic notes, 2 -- Further results and exercises, 2 -- 3: Parametric statistical analysis: single sample -- 3.1 Introduction -- 3.2 The likelihood function -- 3.3 Likelihood theory: general considerations -- 3.4 Exponentially distributed failure times -- 3.5 Proportional hazards family -- 3.6 Likelihood estimation for the Weibull distribution -- 3.7 A test for exponentiality -- Bibliographic notes, 3 -- Further results and exercises, 3 -- 4: Single-sample nonparametric methods -- 4.1 Introduction -- 4.2 Product-limit estimator -- 4.3 Greenwood's formula -- 4.4 Actuarial estimator -- 4.5 Cumulative hazard estimators: goodness of fit -- 4.6 Bayesian nonparametric methods -- Bibliographic notes, 4 -- Further results and exercises, 4 -- 5: Dependence on explanatory variables: model formulation -- 5.1 Introduction -- 5.2 Accelerated life model -- 5.3 Proportional hazards model -- 5.4 Nonmultiplicative hazard-based model -- 5.5 Transferred origin model -- 5.6 Accelerated onset model -- 5.7 Treatments with a transient effect -- 5.8 Discussion -- Bibliographic notes, 5 -- Further results and exercises, 5 -- 6: Fully parametric analysis of dependency -- 6.1 Introduction -- 6.2 Exponential distribution -- 6.3 Accelerated life model -- 6.4 Proportional hazards model -- 6.5 Sensitivity analysis -- 6.6 Some less formal methods -- Bibliographic notes, 6 -- Further results and exercises, 6