The graduation of fertility distributions by polynomial functions
Bibliographic Data
| ID | 20970353 |
|---|---|
| Authors | W Brass (corresponding author) |
| Year | 1960 |
| Volume | 14 |
| Issue | 2 |
| Pages | 148-162 |
| Publication date | 1960-11-01 |
| Open Access | No |
| Type | ARTICLE |
| Venue | Population Studies (JOURNAL) |
| Journal identifiers | ISSN: 0032-4728 • E-ISSN: 1477-4747 |
| Publisher | Informa UK Limited (PUBLISHER • GB) |
| DOI | 10.1080/00324728.1960.10406045 |
| OpenAlex | W1978449293 |
| Language | EN |
| Citations received | 13 |
| References cited | 2 |
There are a number of situations in which it is useful to graduate fertility distributions; for example when the data are obtained from small samples of the population, or when it is desired to translate age-specific fertility rates into ratios of total children ever born per woman in an age group or vice versa. Usually it is convenient to work with rates for five-year age groups of women since the effects of errors due to age mis-statements and chance fluctuations are thus reduced. This paper presents a method for graduating fertility rates for five-year age groups of women, by means of polynomial functions which are constrained to have the shape required at the limits of reproduction, but otherwise depend on parameters which are estimated from the data. The choice of the number of parameters and the technique for fitting the polynomials will depend on the particular problem. Formule for applying the methods in the most common situations are derived. In all cases the graduated values are obtained as linear combinations of the observed rates with constant multipliers which are determined by the problem. The accuracy of the graduations is indicated and the uses of the formule are illustrated by applications to recorded data
Age groups · Constant (computer programming) · Family planning · Fertility · Graduation (instrument) · Mathematical analysis · Polynomial · Population · Research methodology · Statistics · Total fertility rate · Computer Science · Demography · Insurance, Mortality, Demography, Risk Management · Mathematics · Probability and Statistical Research · Statistical Distribution Estimation and Applications
Proximate determinants of fertility in the Kathmandu valley, Nepal
Developing strategies for deriving small population fertility rates
Modeling fertility in modern populations
A new relational method for smoothing and projecting age-specific fertility rates
Modeling fertility curves in Africa
Demographic Models
Estimating detailed distributions from grouped sociodemographic data
Estimation of vital rates for Ghana
Constructing fertility tables for Soviet populations
A Gompertz fit that fits
Experiments in Modelling Recent Danish Fertility Curves
Some Models of Age-Specific Fertility Rates
The evolution of demographic methods
| Citations per year | 0.23 |
|---|---|
| Citation span | 1969 - 2022 (54) |
| Highly cited | No |