Life Table Techniques and Their Applications
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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.
Table of Contents
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 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 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
Product details
- No. of pages: 275
- Language: English
- Copyright: © Academic Press 1987
- Published: May 7, 1987
- Imprint: Academic Press
- eBook ISBN: 9781483288888
About the Editor
H. H. Winsborough
About the Authors
Krishnan Namboodiri
Affiliations and Expertise
Ohio State University, Columbus, U.S.A.
C. Suchindran
Affiliations and Expertise
University of North Carolina, Chapel Hill
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