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Characterizing Some Gorman Engel Curves

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  • Lewbel, Arthur

Abstract

This paper characterizes all utility derived demand systmes having Engel curves that are linear in both income and an arbitrary function of income. This class encompasses virtually all utility derived demand systems that have been estimated in the past using ag gregate data with explicit treatment of the problem of aggregation ac ross individuals. It includes extensions of the PIGLOG and PIGL class es that have similar properties to these classes, but allow for more general Engel curve shapes. This paper extends W. M. Gorman's study o f these forms primarily by characterizing systems of rank two. The ap plication of the characterized systems to problems of nesting, separa bility, flexibility, Engel curve analysis, estimation, and aggregatio n are briefly discussed. Copyright 1987 by The Econometric Society.

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  • Lewbel, Arthur, 1987. "Characterizing Some Gorman Engel Curves," Econometrica, Econometric Society, vol. 55(6), pages 1451-1459, November.
  • Handle: RePEc:ecm:emetrp:v:55:y:1987:i:6:p:1451-59
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    Cited by:

    1. van Daal, Jan & Merkies, Arnold H Q M, 1989. "A Note on the Quadratic Expenditure Model," Econometrica, Econometric Society, vol. 57(6), pages 1439-1443, November.
    2. Shiyuan Chen & Sally Wallace, 2009. "Food Consumption in Jamaica: A Household and Social Behavior," International Center for Public Policy Working Paper Series, at AYSPS, GSU paper0901, International Center for Public Policy, Andrew Young School of Policy Studies, Georgia State University.
    3. Alexandre Belloni & Victor Chernozhukov & Denis Chetverikov & Iv'an Fern'andez-Val, 2011. "Conditional Quantile Processes based on Series or Many Regressors," Papers 1105.6154, arXiv.org, revised Jul 2017.
    4. Gabriela Flores & Jaya Krishnakumar & Sudip Ranjan Basu, 2004. "Demand System Estimations and Welfare Comparisons: Application to Indian Household Data," Research Papers by the Institute of Economics and Econometrics, Geneva School of Economics and Management, University of Geneva 2004.13, Institut d'Economie et Econométrie, Université de Genève.
    5. Sudip Ranjan Basu & Jaya Krishnakumar & Gabriela Flores, 2004. "Spatial Distribution of Welfare Across States and Different Socio-Economic Groups in Rural and Urban India," Research Papers by the Institute of Economics and Econometrics, Geneva School of Economics and Management, University of Geneva 2004.14, Institut d'Economie et Econométrie, Université de Genève.
    6. Ligon, Ethan, 2016. "All \lambda-separable Frisch demands and corresponding utility functions," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt1w13q2f1, Department of Agricultural & Resource Economics, UC Berkeley.
    7. Anton Bondarev, 2008. "Evaluation of Demand Functions for foodstuffs in Russian Economy in 1999–2004," Research Paper Series, Gaidar Institute for Economic Policy, issue 118P, pages 166-166.
    8. Chambers, Robert G. & Pope, Rulon D., 1993. "A Virtually Ideal Production System: Specifying and Estimating the VIPS Model," Working Papers 197785, University of Maryland, Department of Agricultural and Resource Economics.
    9. Rulon D. Pope & Jeffrey T. LaFrance & Timothy K. M.Beatty, 2004. "Building Gorman's Nest," Econometric Society 2004 Australasian Meetings 26, Econometric Society.
    10. Laisney, François, 1991. "Mikroökonometrische Untersuchung von Aggregationsproblemen: Eine partielle Übersicht," ZEW Discussion Papers 91-03, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
    11. Barnett, William A. & Serletis, Apostolos, 2008. "Measuring Consumer Preferences and Estimating Demand Systems," MPRA Paper 12318, University Library of Munich, Germany.
    12. Soregaroli, Claudio & Huff, Karen & Meilke, Karl D., 2002. "Demand System Choice Based On Testing The Engel Curve Specification," Working Papers 34139, University of Guelph, Department of Food, Agricultural and Resource Economics.
    13. LaFrance, J. T. & Beatty, T. K. M. & Pope, R. D. & Agnew, G. K., 2002. "Information theoretic measures of the income distribution in food demand," Journal of Econometrics, Elsevier, vol. 107(1-2), pages 235-257, March.
    14. Richard E. Just & Rulon D. Pope, 2012. "Cost Function Estimation with Proportional Errors in Variables," International Econometric Review (IER), Econometric Research Association, vol. 4(2), pages 59-81, September.
    15. Douglas Fisher & Adrian R. Fleissig & Apostolos Serletis, 2006. "An Empirical Comparison of Flexible Demand System Functional Forms," World Scientific Book Chapters,in: Money And The Economy, chapter 13, pages 247-277 World Scientific Publishing Co. Pte. Ltd..
    16. Jean-Marc Robin, 1999. "Econométrie des systèmes de demande," Économie et Statistique, Programme National Persée, vol. 324(1), pages 135-142.

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