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Modelling fertility: a semi-parametric approach

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Author Info
Oberhofer, Walter
Reichsthaler, Thomas
Abstract

This article presents a categorical model of fertility based on the statistical theory of the Generalised Linear Model (GLM). Focussing on the individual probability of giving birth to a child, we derive distributions which can be embedded in a GLM framework. A major advance of that methodology is the knowledge of the distribution of the random variable, which leads to a Maximum Likelihood estimation procedure. The approach takes into account the smooth shapes of parameter development over the age of the mother as well as over time. The estimation of this semi-parametric approach is done using the Local-Likelihood-method. The presented method provides stable results of the fertility, especially for smaller populations. This is illustrated by using a data set which consists of less than 100,000 inhabitants.

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Paper provided by University of Regensburg, Department of Economics in its series Regensburger Diskussionsbeiträge zur Wirtschaftswissenschaft with number 396.

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Date of creation: 30 Jun 2006
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Handle: RePEc:bay:rdwiwi:677

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Related research
Keywords: Geburtenentwicklung; Semiparametrische Schätzung; Verallgemeinertes lineares Modell;

Find related papers by JEL classification:
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods

References listed on IDEAS
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  1. Birdsall, Nancy, 1988. "Economic approaches to population growth," Handbook of Development Economics, in: Hollis Chenery† & T.N. Srinivasan (ed.), Handbook of Development Economics, edition 1, volume 1, chapter 12, pages 477-542 Elsevier. [Downloadable!] (restricted)
  2. Schultz, T. Paul, 1993. "Demand for children in low income countries," Handbook of Population and Family Economics, in: M. R. Rosenzweig & Stark, O. (ed.), Handbook of Population and Family Economics, edition 1, volume 1, chapter 8, pages 349-430 Elsevier. [Downloadable!] (restricted)
  3. Alho, Juha M., 1990. "Stochastic methods in population forecasting," International Journal of Forecasting, Elsevier, vol. 6(4), pages 521-530, December. [Downloadable!] (restricted)
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