This is the first volume to present a comprehensive treatment of the theory and application of life table techniques. The emphasis is placed on applications, and the theory is presented in such a way that individuals with minimal knowledge of calculus and matrix algebra can follow the argument.
Inhalt
Preface
Chapter 1 Introduction
1 The Anatomy of a Mortality Table
2 Types of Life Tables
Problems and Complements
Bibliographic Notes
Chapter 2 Mechanics of Life Table Construction
1 The Complete Life Table
2 Abridged Life Tables
Problems and Complements
Bibliographic Notes
Chapter 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 Notes
Chapter 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 Notes
Chapter 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 Notes
Chapter 6 Multiple-Decrement Life Tables I
1 Computation of Cause-of-Death Life Tables
2 Cause Elimination
Problems and Complements
Bibliographic Notes
Chapter 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 Notes
Chapter 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 Ca, at an Age = x
5 The Effect of a Particular Cause of Death on Mortality Pattern
6 Follow-Up Studies
Problems and Complements
Bibliographic Notes
Chapter 9 Multistate Life Tables
1 Theory
2 Applications
Problems and Complements
Bibliographic Notes
Chapter 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 Notes
Chapter 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 Notes
Chapter 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 Notes
Chapter 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 Notes
References
Author Index
Subject Index