Life Table Techniques and Their Applications

PrefaceChapter 1 Introduction 1 The Anatomy of a Mortality Table 2 Types of Life Tables Problems and Complements Bibliographic NotesChapter 2 Mechanics of Life Table Construction 1 The Complete Life Table 2 Abridged Life Tables Problems and Complements Bibliographic NotesChapter 3 The Mathematical Basis of the Life Table 1 Mortality Patterns 2 The Abridged Life Table 3 Some Mathematical Relationships Among the Life Table Functions 4 The Life Table from the Perspective of Markov Processes 5 Heterogeneity in Mortality Experiences of Individuals Problems and Complements Bibliographic NotesChapter 4 Life Tables Based on Survey or Observational Data 1 Nature of Data 2 Mechanics 3 Different Ways of Handling Censoring Times 4 The Reduced Sample Method 5 Product-Limit Estimate of the Survival Function 6 An Example of Life Table Construction with Grouped Data Problems and Complements Bibliographic NotesChapter 5 Statistical Comparison of Life Tables 1 Some Data Features 2 Two-Sample Tests 3 k-Sample Tests 4 Post-Stratification Problems and Complements Bibliographic NotesChapter 6 Multiple-Decrement Life Tables I 1 Computation of Cause-of-Death Life Tables 2 Cause Elimination Problems and Complements Bibliographic NotesChapter 7 Multiple-Decrement Life Tables II: Analysis of Follow-up Data 1 Ungrouped Data: An Example 2 Grouped Data 3 Cumulative Probability of Failure Problems and Complements Bibliographic NotesChapter 8 Multiple-Decrement Life Tables III: General Theory 1 Some Basic Notions 2 Expected Proportion of Deaths from a Given Cause 3 The Distribution of Age at Death 4 The Probability of Eventually Dying from Cause Cα, at an Age ≥ x 5 The Effect of a Particular Cause of Death on Mortality Pattern 6 Follow-Up Studies Problems and Complements Bibliographic NotesChapter 9 Multistate Life Tables 1 Theory 2 Applications Problems and Complements Bibliographic NotesChapter 10 Survival Distributions 1 Basic Concepts of Survival Time Distributions 2 Some Survival Distributions 3 Maximum Likelihood Estimation and Likelihood Ratio Tests 4 Censoring Problems and Complements Bibliographic NotesChapter 11 Exponential, Piece wise Exponential, and General Linear Models 1 Sampling from the Exponential Distribution 2 Piecewise Exponential 3 Application of the General Linear Model Approach Problems and Complements Bibliographic NotesChapter 12 Proportional Hazards and Related Models 1 Basic Ideas 2 Estimation and Testing Hypotheses 3 Estimation of the Survival Function 4 Data Analysis Using the Proportional Hazards Model Problems and Complements Bibliographic NotesChapter 13 Parametric Regression 1 Exponential Distribution 2 Maximum Likelihood Methods 3 Weibull Regression Models 4 Log-Normal Regression Models 5 Log-Logistic Regression Models 6 Other Fully Parameterized Regression Models 7 A General Approach 8 Model Life Tables Bibliographic NotesReferencesAuthor IndexSubject Index