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

  • Fabienne Féménia
  • Alexandre Gohin

The econometric estimation of zero censored demand system faces major difficulties. The virtual price approach pioneered by Lee and Pitt (1986) in an econometric framework is theoretically consistent but empirically feasible only for homothetic demand system. It may even 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.

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Paper provided by INRA UMR SMART in its series Working Papers SMART - LERECO with number 09-12.

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Date of creation: 2009
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Handle: RePEc:rae:wpaper:200912
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  1. Neary, J.P & Roberts, K.W.S, 1978. "The Theory of Household Behaviour under Rationing," The Warwick Economics Research Paper Series (TWERPS) 132, University of Warwick, Department of Economics.
  2. Lee, Lung-Fei & Pitt, Mark M, 1986. "Microeconometric Demand Systems with Binding Nonnegativity Constraints: The Dual Approach," Econometrica, Econometric Society, vol. 54(5), pages 1237-42, September.
  3. 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.
  4. 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.
  5. 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.
  6. Moschini, Giancarlo, 1999. "Imposing Local Curvature Conditions in Flexible Demand Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(4), pages 487-90, October.
  7. 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.
  8. van Soest, A.H.O. & Kooreman, P., 1990. "Coherency of the indirect translog demand system with binding nonnegativity constraints," Other publications TiSEM 67e4b635-f504-401e-9a07-8, Tilburg University, School of Economics and Management.
  9. A. Ronald Gallant & Gene H. Golub, 1982. "Imposing Curvature Restrictions on Flexible Functional Forms," Discussion Papers 538, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  10. 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.
  11. Golan, Amos & Judge, George G. & Miller, Douglas, 1996. "Maximum Entropy Econometrics," Staff General Research Papers 1488, Iowa State University, Department of Economics.
  12. George Judge & Marco Van_Akkeren, 2000. "Generalized Moment Based Estimation and Inference," Econometric Society World Congress 2000 Contributed Papers 0073, Econometric Society.
  13. 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.
  14. Barnett, William A., 2002. "Tastes and technology: curvature is not sufficient for regularity," Journal of Econometrics, Elsevier, vol. 108(1), pages 199-202, May.
  15. Jon Haveman & David Hummels, 2004. "Alternative hypotheses and the volume of trade: the gravity equation and the extent of specialization," Canadian Journal of Economics, Canadian Economics Association, vol. 37(1), pages 199-218, February.
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