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Individual versus Aggregate Income Elasticities for Heterogeneous Populations

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Author Info
Michal Paluch
Alois Kneip
Werner Hildenbrand ()
Abstract

This paper deals with different concepts of income elasticities of demand for a heterogenous population and the relationship between individual and aggregate elasticities is analyzed. In general, the aggregate elasticity is not equal to the mean of individual elasticities. The difference depends on the heterogeneity of the population and is quantified by a covariance term. Sign and magnitude of this term are determined by an empirical analysis based on the U.K. Family Expenditure Survey. It is shown that the relevant quantities can be identified from cross-section data and, without imposing restrictive structural assumptions, can be estimated by nonparametric techniques. It turns out that the aggregate elasticity significantly overestimates the mean of individual elasticities for many commodity groups.

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File URL: ftp://web.bgse.uni-bonn.de/pub/RePEc/bon/bonedp/bgse13_2007.pdf
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Publisher Info
Paper provided by University of Bonn, Germany in its series Bonn Econ Discussion Papers with number bgse13_2007.

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Length: 34
Date of creation: Aug 2007
Date of revision:
Handle: RePEc:bon:bonedp:bgse13_2007

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Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
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Web page: http://www.bgse.uni-bonn.de/index.php?id=494

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Related research
Keywords: household demand; aggregation; heterogeneity; nonparametric methods;

Find related papers by JEL classification:
D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods

This paper has been announced in the following NEP Reports:

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Lewbel, Arthur, 1992. "Aggregation with Log-Linear Models," Review of Economic Studies, Blackwell Publishing, vol. 59(3), pages 635-42, July. [Downloadable!] (restricted)
  2. Manisha Chakrabarty & Anke Schmalenbach & Jeffrey Racine, 2006. "On the distributional effects of income in an aggregate consumption relation," Canadian Journal of Economics, Canadian Economics Association, vol. 39(4), pages 1221-1243, November. [Downloadable!] (restricted)
    Other versions:
  3. Jürgen Arns & Kaushik Bhattacharya, 2005. "Modelling Aggregate Consumption Growth with Time-Varying Parameters," Bonn Econ Discussion Papers bgse15_2005, University of Bonn, Germany. [Downloadable!]
  4. Rosa L. Matzkin, 2003. "Nonparametric Estimation of Nonadditive Random Functions," Econometrica, Econometric Society, vol. 71(5), pages 1339-1375, 09. [Downloadable!] (restricted)
  5. Hildenbrand, Werner & Kneip, Alois, 2005. "Aggregate behavior and microdata," Games and Economic Behavior, Elsevier, vol. 50(1), pages 3-27, January. [Downloadable!] (restricted)
  6. Lewbel, Arthur, 1989. "Nesting the AIDS and Translog Demand System," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 30(2), pages 349-56, May. [Downloadable!] (restricted)
  7. Peter Hall & Jeff Racine & Qi Li, 2004. "Cross-Validation and the Estimation of Conditional Probability Densities," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 1015-1026, December. [Downloadable!] (restricted)
  8. Campbell, John Y & Mankiw, N Gregory, 1990. "Permanent Income, Current Income, and Consumption," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(3), pages 265-79, July.
    Other versions:
  9. Li, Qi & Racine, Jeffrey S, 2008. "Nonparametric Estimation of Conditional CDF and Quantile Functions With Mixed Categorical and Continuous Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 423-434. [Downloadable!] (restricted)
  10. Davidson, James E H, et al, 1978. "Econometric Modelling of the Aggregate Time-Series Relationship between Consumers' Expenditure and Income in the United Kingdom," Economic Journal, Royal Economic Society, vol. 88(352), pages 661-92, December. [Downloadable!] (restricted)
  11. Stefan Hoderlein & Enno Mammen, 2007. "Identification of Marginal Effects in Nonseparable Models Without Monotonicity," Econometrica, Econometric Society, vol. 75(5), pages 1513-1518, 09. [Downloadable!] (restricted)
  12. Racine, Jeff & Li, Qi, 2004. "Nonparametric estimation of regression functions with both categorical and continuous data," Journal of Econometrics, Elsevier, vol. 119(1), pages 99-130, March. [Downloadable!] (restricted)
  13. Blundell, Richard & Pashardes, Panos & Weber, Guglielmo, 1993. "What Do We Learn About Consumer Demand Patterns from Micro Data?," American Economic Review, American Economic Association, vol. 83(3), pages 570-97, June. [Downloadable!] (restricted)
  14. Lewbel, Arthur, 1990. "Income distribution movements and aggregate money illusion," Journal of Econometrics, Elsevier, vol. 43(1-2), pages 35-42. [Downloadable!] (restricted)
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