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Estimation of Quadratic Expenditure Systems Using German Household Budget Data

  • Karsten Kohn

    ()

    (University of Mannheim)

  • Martin Missong

    ()

    (Christian-Albrechts-University at Kiel)

Drawing on household budget data from the German Income and Consumption Surveys of 1988 and 1993, we estimate demographicaily structured Quadratic Expenditure Systems. Both Full Information Maximum Likelihood methods and a Limited Information approach as proposed recently by Ding and Hadri (1996) are employed. The quadratic specification is found to significantly improve the model fit as compared to the linear one used in previous demand studies for Germany. Price elasticities of demand for different household types are analyzed at distinct income levels, and ratios of estimated subsistence expenditures are compared to both institutional and empirical equivalence scales.

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Article provided by Justus-Liebig University Giessen, Department of Statistics and Economics in its journal Journal of Economics and Statistics.

Volume (Year): 223 (2003)
Issue (Month): 4 (July)
Pages: 422-448

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Handle: RePEc:jns:jbstat:v:223:y:2003:i:4:p:422-448
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  1. Walter Krug, 2000. "Zum Aufbau eines Systems von Haushaltsstichproben in der amtlichen Statistik," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), Justus-Liebig University Giessen, Department of Statistics and Economics, vol. 220(6), pages 731-741.
  2. Lluch, Constantino, 1973. "The extended linear expenditure system," European Economic Review, Elsevier, vol. 4(1), pages 21-32, April.
  3. Howe, Howard, 1975. "Development of the extended linear expenditure system from simple saving assumptions," European Economic Review, Elsevier, vol. 6(3), pages 305-310, July.
  4. Barnes, Roberta & Gillingham, Robert, 1984. "Demographic Effects in Demand Analysis: Estimation of the Quadratic Expenditure System Using Microdata," The Review of Economics and Statistics, MIT Press, vol. 66(4), pages 591-601, November.
  5. Ding, Hua & Hadri, Kaddour, 1996. "Chinese emprical evidence on the linear and quadratic expenditure systems," Discussion Papers 9611, Exeter University, Department of Economics.
  6. James Banks & Richard Blundell & Arthur Lewbel, 1997. "Quadratic Engel Curves And Consumer Demand," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 527-539, November.
  7. Heien, Dale & Wessells, Cathy Roheim, 1990. "Demand Systems Estimation with Microdata: A Censored Regression Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(3), pages 365-71, July.
  8. Howe, Howard & Pollak, Robert A & Wales, Terence J, 1979. "Theory and Time Series Estimation of the Quadratic Expenditure System," Econometrica, Econometric Society, vol. 47(5), pages 1231-47, September.
  9. Harvey, A C, 1976. "Estimating Regression Models with Multiplicative Heteroscedasticity," Econometrica, Econometric Society, vol. 44(3), pages 461-65, May.
  10. Lewbel, Arthur, 1985. "A Unified Approach to Incorporating Demographic or Other Effects into Demand Systems," Review of Economic Studies, Wiley Blackwell, vol. 52(1), pages 1-18, January.
  11. Barten, A. P., 1969. "Maximum likelihood estimation of a complete system of demand equations," European Economic Review, Elsevier, vol. 1(1), pages 7-73.
  12. Pollak, Robert A & Wales, Terence J, 1978. "Estimation of Complete Demand Systems from Household Budget Data: The Linear and Quadratic Expenditure Systems," American Economic Review, American Economic Association, vol. 68(3), pages 348-59, June.
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