Ebook: Mathematical Demography: Selected Papers

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Content:
Front Matter....Pages I-XI
Front Matter....Pages 1-5
Tables of Annuity Values Which Were Sanctioned by the Roman Law for the Purposes of the Lex Falcidia....Pages 7-9
Natural and Political Observations Mentioned in a Following Index, and Made Upon the Bills of Mortality....Pages 11-20
An Estimate of the Degrees of the Mortality of Mankind....Pages 21-26
A Treatise on the Valuation of Annuities and Assurances on Lives and Survivors....Pages 27-34
Statistical Applications of the Mortality Table....Pages 35-38
Formal Treatment of Aggregate Mortality Data....Pages 39-41
A Short Method for Constructing an Abridged Life Table....Pages 43-51
Short Methods of Constructing Abridged Life Tables....Pages 53-60
Life Tables for Natural Populations of Animals....Pages 61-74
Front Matter....Pages 75-77
An Illustration of Population Growth....Pages 79-82
A General Investigation into the Mortality and Multiplication of the Human Species....Pages 83-91
Relation Between Birth Rates and Death Rates....Pages 93-95
A Problem in Age-Distribution....Pages 97-100
The Stability of the Normal Age Distribution....Pages 101-107
Resolving a Historical Confusion in Population Analysis....Pages 109-129
On the Integral Equation of Renewal Theory....Pages 131-156
A New Method for Calculating Lotka’s r—The Intrinsic Rate of Growth in a Stable Population....Pages 157-160
The Fundamental Theorem of Natural Selection....Pages 161-166
How the Age Distribution of a Human Population is Determined....Pages 167-172
On the Reproduction of Organisms with Overlapping Generations....Pages 173-182
Front Matter....Pages 75-77
The Population Consequences of Life History Phenomena....Pages 183-192
Front Matter....Pages 193-194
The Probability of a Cessation of the Growth of Population in England and Wales during the Next Century....Pages 195-203
An Empirical Method for Calculating Future Population....Pages 205-213
Population Waves....Pages 215-219
On the Generation and Growth of a Population....Pages 221-225
On the Use of Matrices in Certain Population Mathematics....Pages 227-238
Matrix Representation of Changes in the Active Population....Pages 239-254
Weak Ergodicity....Pages 255-257
Ergodic Properties of Population I: The One Sex Model....Pages 259-271
Front Matter....Pages 273-278
On the Nature of the Function Expressive of the Law of Human Mortality....Pages 279-282
On the Law of Mortality....Pages 283-288
Calculation of Model Tables....Pages 289-300
Estimates of Fertility and Mortality Based on Reported Age Distributions and Reported Child Survival....Pages 301-305
Methods of Analysis and Estimation....Pages 307-313
Nuptiality, Fertility, and Reproductivity....Pages 315-322
Model Fertility Tables: Variations in the Age Structure of Childbearing in Human Populations....Pages 323-331
A Note on the Law of Population Growth....Pages 333-339
On the Rate of Growth of the Population of the United States since 1790 and its Mathematical Representation....Pages 341-347
The Measurement of Population Distribution....Pages 349-363
Front Matter....Pages 365-366
First Investigations on the Fecundability of a Woman....Pages 367-371
Front Matter....Pages 365-366
Theoretical Basis of Measures of Natural Fertility....Pages 373-382
A Note on the Structure of a Stochastic Model Considered by V. M. Dandekar....Pages 383-385
On the Time Required for Conception....Pages 387-395
Front Matter....Pages 397-398
On the Probability of the Extinction of Families....Pages 399-406
Extinction Probabilities in Branching Processes....Pages 407-409
Stochastic Processes and Population Growth....Pages 411-415
An Age-Dependent Birth and Death Process....Pages 417-421
On the Use of the Direct Matrix Product in Analyzing Certain Stochastic Population Models....Pages 423-428
Front Matter....Pages 429-431
Aspects of Recent Trends in Marriage in England and Wales....Pages 433-440
The Relations between Male and Female Reproduction Rates....Pages 441-451
The Measurement of Reproductivity....Pages 453-463
Stochastic Processes and Population Growth....Pages 465-468
Population Growth of the Sexes....Pages 469-480
On Future Population....Pages 481-483
The Standard Deviation of Sampling for Life Expectancy....Pages 485-489
Probability Distribution of Life Table Functions....Pages 491-499
Back Matter....Pages 501-516

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Content:
Front Matter....Pages I-XI
Front Matter....Pages 1-5
Tables of Annuity Values Which Were Sanctioned by the Roman Law for the Purposes of the Lex Falcidia....Pages 7-9
Natural and Political Observations Mentioned in a Following Index, and Made Upon the Bills of Mortality....Pages 11-20
An Estimate of the Degrees of the Mortality of Mankind....Pages 21-26
A Treatise on the Valuation of Annuities and Assurances on Lives and Survivors....Pages 27-34
Statistical Applications of the Mortality Table....Pages 35-38
Formal Treatment of Aggregate Mortality Data....Pages 39-41
A Short Method for Constructing an Abridged Life Table....Pages 43-51
Short Methods of Constructing Abridged Life Tables....Pages 53-60
Life Tables for Natural Populations of Animals....Pages 61-74
Front Matter....Pages 75-77
An Illustration of Population Growth....Pages 79-82
A General Investigation into the Mortality and Multiplication of the Human Species....Pages 83-91
Relation Between Birth Rates and Death Rates....Pages 93-95
A Problem in Age-Distribution....Pages 97-100
The Stability of the Normal Age Distribution....Pages 101-107
Resolving a Historical Confusion in Population Analysis....Pages 109-129
On the Integral Equation of Renewal Theory....Pages 131-156
A New Method for Calculating Lotka’s r—The Intrinsic Rate of Growth in a Stable Population....Pages 157-160
The Fundamental Theorem of Natural Selection....Pages 161-166
How the Age Distribution of a Human Population is Determined....Pages 167-172
On the Reproduction of Organisms with Overlapping Generations....Pages 173-182
Front Matter....Pages 75-77
The Population Consequences of Life History Phenomena....Pages 183-192
Front Matter....Pages 193-194
The Probability of a Cessation of the Growth of Population in England and Wales during the Next Century....Pages 195-203
An Empirical Method for Calculating Future Population....Pages 205-213
Population Waves....Pages 215-219
On the Generation and Growth of a Population....Pages 221-225
On the Use of Matrices in Certain Population Mathematics....Pages 227-238
Matrix Representation of Changes in the Active Population....Pages 239-254
Weak Ergodicity....Pages 255-257
Ergodic Properties of Population I: The One Sex Model....Pages 259-271
Front Matter....Pages 273-278
On the Nature of the Function Expressive of the Law of Human Mortality....Pages 279-282
On the Law of Mortality....Pages 283-288
Calculation of Model Tables....Pages 289-300
Estimates of Fertility and Mortality Based on Reported Age Distributions and Reported Child Survival....Pages 301-305
Methods of Analysis and Estimation....Pages 307-313
Nuptiality, Fertility, and Reproductivity....Pages 315-322
Model Fertility Tables: Variations in the Age Structure of Childbearing in Human Populations....Pages 323-331
A Note on the Law of Population Growth....Pages 333-339
On the Rate of Growth of the Population of the United States since 1790 and its Mathematical Representation....Pages 341-347
The Measurement of Population Distribution....Pages 349-363
Front Matter....Pages 365-366
First Investigations on the Fecundability of a Woman....Pages 367-371
Front Matter....Pages 365-366
Theoretical Basis of Measures of Natural Fertility....Pages 373-382
A Note on the Structure of a Stochastic Model Considered by V. M. Dandekar....Pages 383-385
On the Time Required for Conception....Pages 387-395
Front Matter....Pages 397-398
On the Probability of the Extinction of Families....Pages 399-406
Extinction Probabilities in Branching Processes....Pages 407-409
Stochastic Processes and Population Growth....Pages 411-415
An Age-Dependent Birth and Death Process....Pages 417-421
On the Use of the Direct Matrix Product in Analyzing Certain Stochastic Population Models....Pages 423-428
Front Matter....Pages 429-431
Aspects of Recent Trends in Marriage in England and Wales....Pages 433-440
The Relations between Male and Female Reproduction Rates....Pages 441-451
The Measurement of Reproductivity....Pages 453-463
Stochastic Processes and Population Growth....Pages 465-468
Population Growth of the Sexes....Pages 469-480
On Future Population....Pages 481-483
The Standard Deviation of Sampling for Life Expectancy....Pages 485-489
Probability Distribution of Life Table Functions....Pages 491-499
Back Matter....Pages 501-516
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