Introduction to the mathematics of demography:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Winsted, Conn. u.a.
1991
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| Series: | ACTEX publications
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. [225] - 227 |
| Physical Description: | VIII, 230 S. graph. Darst. |
| ISBN: | 0936031085 |
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| 245 | 1 | 0 | |a Introduction to the mathematics of demography |c Robert L. Brown |
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TABLE OF
CONTENTS
Preface vii
Chapter 1
DATA: SOURCES AND ERRORS
1.1 Introduction 1
1.2 The Collection of Demographic Statistics 2
1.3 Taking the Census 5
1.4 Sources of Errors and Their Corrections 7
1.4.1 Coverage Errors 7
1.4.2 Content or Response Errors 8
1.4.3 Misstatement of Age 9
1.4.4 Processing Errors 10
1.4.5 Sampling Errors 10
1.4.6 Gross Error Ratio/Net Error Ratio 12
1.5 Conclusion 13
1.6 Exercises 14
Chapter 2
MEASURES OF MORTALITY AND FERTILITY
2.1 Introduction 19
2.2 Crude Rates 20
2.3 Age Specific Mortality Rates 21
2.4 Adjusted Measures of Mortality 23
2.5 Measures of Infant Mortality 25
2.6 Age Specific Fertility Rates 26
2.7 Exercises 32
iv Table of Contents
Chapter 3 41
THE LIFE TABLE
3.1 Introduction 41
3.2 Life Table Values 42
3.3 The Continuous Case 46
3.4 Methods for Fractional Ages 52
3.4.1 Uniform Distribution of Deaths 53
3.4.2 Constant Force of Mortality 54
3.5 Exercises 58
Chapter 4 61
CONSTRUCTION OF LIFE TABLES FROM CENSUS DATA
4.1 Introduction 61
4.2 The 1979 81 U.S. Life Tables 64
4.2.1 Ages Under 2 Years 64
4.2.2 Ages 2 to 94 Years 66
4.2.3 Ages Over 94 Years 67
4.2.4 Derivation of Other Values 69
4.3 The 1985 87 Canadian Life Tables 71
4.3.1 Infant Tables 72
4.3.2 Adult Tables 75
4.4 Abridged Life Tables 80
4.5 Analysis of the Life Table by Cause of Death 85
4.6 Exercises 87
Chapter 5 93
STATIONARY POPULATION THEORY
5.1 Introduction 93
5.2 Analysis of the Survivorship Group 96
5.3 The Stationary Population 98
5.4 The Lexis Diagram 105
5.5 Further Applications 112
5.6 Exercises 116
Table of Contents v
Chapter 6 121
STABLE POPULATION THEORY
6.1 Introduction 121
6.2 The Foundations of Stable Population Theory 125
6.3 The Growth Rate r 129
6.4 Applications 137
6.5 Quasi Stable Populations 140
6.6 Exercises 141
Chapter 7 149
POPULATION PROJECTIONS
7.1 Inter Censal and Immediate Post Censal Estimates 149
7.1.1 Linear Interpolation 149
7.1.2 Polynomial Interpolation 150
7.1.3 Geometric Modeling 151
7.2 Population Projections: The Logistic Curve 153
7.3 Population Projections: The Component Method 158
7.4 Exercises 165
Chapter 8 173
USES OF CENSUS DATA
8.1 Introduction 173
8.2 A Practical Example: Funding Social Security 174
8.3 Conclusion 188
8.4 Exercises 189
Appendix A 193
THE 1979 81 U.S. LIFE TABLES
Life Table for Males 193
Life Table for Females 197
vi Table of Contents
Appendix B 201
THE 1985 87 CANADIAN LIFE TABLES
Life Table for the First Year of Life (Male) 201
Life Table for the First Year of Life (Female) 202
Adult Life Table (Male) 203
Adult Life Table (Female) 207
Appendix C 211
FURTHER DISCUSSION OF
STABLE POPULATION THEORY
Solving for r 211
Numerical Values of r 214
The Renewal Equation 215
Answers to Exercises 217
Bibliography 225
Index 228 |
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| indexdate | 2024-11-13T11:03:20Z |
| institution | BVB |
| isbn | 0936031085 |
| language | English |
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| physical | VIII, 230 S. graph. Darst. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
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| series2 | ACTEX publications |
| spelling | Brown, Robert L. 1949- Verfasser (DE-588)171855078 aut Introduction to the mathematics of demography Robert L. Brown Winsted, Conn. u.a. 1991 VIII, 230 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier ACTEX publications Literaturverz. S. [225] - 227 Démographie - Modèles mathématiques Mathematisches Modell Demography Mathematical models Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Demographie (DE-588)4011412-0 gnd rswk-swf Demographie (DE-588)4011412-0 s Mathematische Methode (DE-588)4155620-3 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003897209&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brown, Robert L. 1949- Introduction to the mathematics of demography Démographie - Modèles mathématiques Mathematisches Modell Demography Mathematical models Mathematische Methode (DE-588)4155620-3 gnd Demographie (DE-588)4011412-0 gnd |
| subject_GND | (DE-588)4155620-3 (DE-588)4011412-0 |
| title | Introduction to the mathematics of demography |
| title_auth | Introduction to the mathematics of demography |
| title_exact_search | Introduction to the mathematics of demography |
| title_full | Introduction to the mathematics of demography Robert L. Brown |
| title_fullStr | Introduction to the mathematics of demography Robert L. Brown |
| title_full_unstemmed | Introduction to the mathematics of demography Robert L. Brown |
| title_short | Introduction to the mathematics of demography |
| title_sort | introduction to the mathematics of demography |
| topic | Démographie - Modèles mathématiques Mathematisches Modell Demography Mathematical models Mathematische Methode (DE-588)4155620-3 gnd Demographie (DE-588)4011412-0 gnd |
| topic_facet | Démographie - Modèles mathématiques Mathematisches Modell Demography Mathematical models Mathematische Methode Demographie |
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