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Estimating censored and non homothetic demand systems : the generalized maximum entropy appoach

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  • Fabienne Femenia

    (ESR - Unité de recherche d'Économie et Sociologie Rurales - INRA - Institut National de la Recherche Agronomique)

  • Alexandre Gohin

    (ESR - Unité de recherche d'Économie et Sociologie Rurales - INRA - Institut National de la Recherche Agronomique)

Abstract

The econometric estimation of zero censored demand system faces major difficulties. The virtual price approach pioneered by Lee and Pitt in an econometric framework is theoretically consistent but empirically feasible only for homothetic demand system and even may fail to converge depending on initial conditions. In this paper we propose to expand on this approach by relying on the generalized maximum entropy concept instead of the Maximum Likelihood paradigm. The former is robust to the error distribution while the latter must stick with a normality assumption. Accordingly the econometric specification of censored demand systems with virtual prices is made easier even with non homothetic preferences defined over several goods. Illustrative Monte Carlo sampling results show its relative performance.

Suggested Citation

  • Fabienne Femenia & Alexandre Gohin, 2007. "Estimating censored and non homothetic demand systems : the generalized maximum entropy appoach," Post-Print hal-02814735, HAL.
    • Handle: RePEc:hal:journl:hal-02814735
    Note: View the original document on HAL open archive server: https://hal.inrae.fr/hal-02814735
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    1. William A. Barnett, 2004. "Tastes and Technology: Curvature Is Not Sufficient for Regularity," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 429-433, Emerald Group Publishing Limited.
    2. Wales, T. J. & Woodland, A. D., 1983. "Estimation of consumer demand systems with binding non-negativity constraints," Journal of Econometrics, Elsevier, vol. 21(3), pages 263-285, April.
    3. Soest, Arthur van & Kapteyn, Arie & Kooreman, Peter, 1993. "Coherency and regularity of demand systems with equality and inequality constraints," Journal of Econometrics, Elsevier, vol. 57(1-3), pages 161-188.
    4. Low, Patrick & Piermartini, Roberta & Richtering, Jurgen, 2005. "Multilateral solutions to the erosion of non-reciprocal preferences in NAMA," WTO Staff Working Papers ERSD-2005-05, World Trade Organization (WTO), Economic Research and Statistics Division.
    5. van Akkeren, Marco & Judge, George & Mittelhammer, Ron, 2002. "Generalized moment based estimation and inference," Journal of Econometrics, Elsevier, vol. 107(1-2), pages 127-148, March.
    6. William Barnett & Meenakshi Pasupathy, 2003. "Regularity of the Generalized Quadratic Production Model: A Counterexample," Econometric Reviews, Taylor & Francis Journals, vol. 22(2), pages 135-154.
    7. Romer, Paul, 1994. "New goods, old theory, and the welfare costs of trade restrictions," Journal of Development Economics, Elsevier, vol. 43(1), pages 5-38, February.
    8. Neary, J. P. & Roberts, K. W. S., 1980. "The theory of household behaviour under rationing," European Economic Review, Elsevier, vol. 13(1), pages 25-42, January.
    9. Joseph Francois & Bernard Hoekman & Miriam Manchin, 2006. "Preference Erosion and Multilateral Trade Liberalization," The World Bank Economic Review, World Bank, vol. 20(2), pages 197-216.
    10. Van Soest, Arthur & Kooreman, Peter, 1990. "Coherency of the indirect translog demand system with binding nonnegativity constraints," Journal of Econometrics, Elsevier, vol. 44(3), pages 391-400, June.
    11. Jon Haveman & David Hummels, 2004. "Alternative hypotheses and the volume of trade: the gravity equation and the extent of specialization," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 37(1), pages 199-218, February.
    12. Moschini, Giancarlo, 1999. "Imposing Local Curvature Conditions in Flexible Demand Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(4), pages 487-490, October.
    13. Mustafizur Rahman & Wasel Bin Shadat, 2005. "NAMA Negotiations in the WTO and Preference Erosion: Concerns of Bangladesh and Other Regional LDCs," CPD Working Paper 51, Centre for Policy Dialogue (CPD).
    14. Gallant, A. Ronald & Golub, Gene H., 1984. "Imposing curvature restrictions on flexible functional forms," Journal of Econometrics, Elsevier, vol. 26(3), pages 295-321, December.
    15. Golan, Amos & Judge, George G. & Miller, Douglas, 1996. "Maximum Entropy Econometrics," Staff General Research Papers Archive 1488, Iowa State University, Department of Economics.
    16. Lee, Lung-Fei & Pitt, Mark M, 1986. "Microeconometric Demand Systems with Binding Nonnegativity Constraints: The Dual Approach," Econometrica, Econometric Society, vol. 54(5), pages 1237-1242, September.
    17. Steven T. Yen & Biing-Hwan Lin, 2006. "A Sample Selection Approach to Censored Demand Systems," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 88(3), pages 742-749.
    18. Fuss, Melvyn & McFadden, Daniel (ed.), 1978. "Production Economics: A Dual Approach to Theory and Applications," Elsevier Monographs, Elsevier, edition 1, number 9780444850133.
    19. Antoine Bouët & Lionel Fontagné & Sébastien Jean, 2005. "Is Erosion of Tariff Preferences a Serious Concern?," Working Papers 2005-14, CEPII research center.
    20. Golan, Amos & Judge, George & Perloff, Jeffrey, 1997. "Estimation and inference with censored and ordered multinomial response data," Journal of Econometrics, Elsevier, vol. 79(1), pages 23-51, July.
    21. Mustafizur Rahman & Wasel Bin Shadat, 2006. "NAMA Negotiations in the WTO and Preference Erosion," South Asia Economic Journal, Institute of Policy Studies of Sri Lanka, vol. 7(2), pages 179-203, September.
    22. Channing Arndt & Songquan Liu & Paul Preckel, 1999. "On dual approaches to demand systems estimation in the presence of binding quantity constraints," Applied Economics, Taylor & Francis Journals, vol. 31(8), pages 999-1008.
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    Cited by:

    1. James FETZER, 2009. "Partial Equilibrium Modeling of Trade Zeros," EcoMod2009 21500031, EcoMod.

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    More about this item

    Keywords

    CENSORED DEMAND SYSTEM; VIRTUAL PRICE; GENERALIZED MAXIMUM ENTROPY;
    All these keywords.

    JEL classification:

    • C34 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Truncated and Censored Models; Switching Regression Models
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis

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