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Estimating high-dimensional demand systems in the presence of many binding non-negativity constraints

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  • Millimet, Daniel L.
  • Tchernis, Rusty

Abstract

Two econometric issues arise in the structural estimation of consumer or producer demand systems in the presence of many binding non-negativity constraints. Firstly, most existing methods entail the evaluation of multivariate probability integrals. Secondly, the issue of statistical coherency must be addressed. We circumvent both of these issues using Gibbs' Sampling, along with data augmentation and rejection sampling. We illustrate our method using several simulated data sets.

Suggested Citation

  • Millimet, Daniel L. & Tchernis, Rusty, 2008. "Estimating high-dimensional demand systems in the presence of many binding non-negativity constraints," Journal of Econometrics, Elsevier, vol. 147(2), pages 384-395, December.
    • Handle: RePEc:eee:econom:v:147:y:2008:i:2:p:384-395
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    1. 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.
    2. William A. Barnett & Michael Wolfe, 2004. "Semi-nonparametric Bayesian Estimation of the Asymptotically Ideal Production Model1," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 303-349, Emerald Group Publishing Limited.
    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. repec:fth:stanho:e-90-11 is not listed on IDEAS
    5. Christensen, Laurits R & Jorgenson, Dale W & Lau, Lawrence J, 1975. "Transcendental Logarithmic Utility Functions," American Economic Review, American Economic Association, vol. 65(3), pages 367-383, June.
    6. Arthur Lewbel, 1997. "Constructing Instruments for Regressions with Measurement Error when no Additional Data are Available, with an Application to Patents and R&D," Econometrica, Econometric Society, vol. 65(5), pages 1201-1214, September.
    7. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
    8. 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.
    9. 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.
    10. Terrell, Dek, 1996. "Incorporating Monotonicity and Concavity Conditions in Flexible Functional Forms," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(2), pages 179-194, March-Apr.
    11. Raja Chakir & Alain Bousquet & Norbert Ladoux, 2004. "Modeling corner solutions with panel data: Application to the industrial energy demand in France," Empirical Economics, Springer, vol. 29(1), pages 193-208, January.
    12. 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.
    13. Diansheng Dong & Brian W. Gould & Harry M. Kaiser, 2004. "Food Demand in Mexico: An Application of the Amemiya-Tobin Approach to the Estimation of a Censored Food System," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 86(4), pages 1094-1107.
    14. Lee, Lung-Fei & Pitt, Mark M., 1987. "Microeconometric models of rationing, imperfect markets, and non-negativity constraints," Journal of Econometrics, Elsevier, vol. 36(1-2), pages 89-110.
    15. Hausman, Jerry A, 1985. "The Econometrics of Nonlinear Budget Sets," Econometrica, Econometric Society, vol. 53(6), pages 1255-1282, November.
    16. Michael R. Ransom, 1985. "A Comment on Consumer Demand Systems with Binding Non-Negativity Constraints," Working Papers 572, Princeton University, Department of Economics, Industrial Relations Section..
    17. Steven T. Yen & Biing-Hwan Lin & David M. Smallwood, 2003. "Quasi- and Simulated-Likelihood Approaches to Censored Demand Systems: Food Consumption by Food Stamp Recipients in the United States," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 85(2), pages 458-478.
    18. repec:hoo:wpaper:e-90-11 is not listed on IDEAS
    19. Christopher J. O'Donnell & C. Richard Shumway & V. Eldon Ball, 1999. "Input Demands and Inefficiency in U.S. Agriculture," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 81(4), pages 865-880.
    20. David E. Sahn, 2005. "Consistent Estimation of Censored Demand Systems Using Panel Data," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 87(3), pages 660-672.
    21. Gourieroux, C & Laffont, J J & Monfort, A, 1980. "Coherency Conditions in Simultaneous Linear Equation Models with Endogenous Switching Regimes," Econometrica, Econometric Society, vol. 48(3), pages 675-695, April.
    22. Ransom, Michael R., 1987. "A comment on consumer demand systems with binding non-negativity constraints," Journal of Econometrics, Elsevier, vol. 34(3), pages 355-359, March.
    23. Amos Golan & Jeffrey M. Perloff & Edward Z. Shen, 2001. "Estimating A Demand System With Nonnegativity Constraints: Mexican Meat Demand," The Review of Economics and Statistics, MIT Press, vol. 83(3), pages 541-550, August.
    24. Arndt, Channing, 1999. "Demand For Herbicide In Corn: An Entropy Approach Using Micro-Level Data," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 24(01), pages 1-18, July.
    25. Chihwa Kao & Lung-fei Lee & Mark M. Pitt, 2001. "Simulated Maximum Likelihood Estimation of the Linear Expenditure System with Binding Non-Negativity Constraints," Annals of Economics and Finance, Society for AEF, vol. 2(1), pages 215-235, May.
    26. Thomas MaCurdy & David Green & Harry Paarsch, 1990. "Assessing Empirical Approaches for Analyzing Taxes and Labor Supply," Journal of Human Resources, University of Wisconsin Press, vol. 25(3), pages 415-490.
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    Cited by:

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    3. Obafèmi P. Koutchadé & Alain Carpentier & Fabienne Femenia, 2021. "Modeling Corners, Kinks, and Jumps in Crop Acreage Choices: Impacts of the EU Support to Protein Crops," American Journal of Agricultural Economics, John Wiley & Sons, vol. 103(4), pages 1502-1524, August.
    4. Kasteridis, Panagiotis & Yen, Steven, 2012. "U.S. demand for organic and conventional vegetables: a Bayesian censored system approach," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 56(3), pages 1-21.
    5. Jean-Pierre H. Dubé, 2018. "Microeconometric Models of Consumer Demand," NBER Working Papers 25215, National Bureau of Economic Research, Inc.
    6. Ferrier, Peyton & Zhen, Chen, 2014. "Explaining the Shift from Preserved to Fresh Vegetable Consumption," 2014 Annual Meeting, July 27-29, 2014, Minneapolis, Minnesota 170555, Agricultural and Applied Economics Association.
    7. Golan, Amos & LaFrance, Jeffrey T & Perloff, Jeffrey M. & Seabold, Skipper, 2017. "Estimating a Demand System with Choke Prices," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt4qt9q8vr, Department of Agricultural & Resource Economics, UC Berkeley.
    8. Koji Miyawaki & Yasuhiro Omori & Akira Hibiki, 2016. "Exact Estimation of Demand Functions under Block-Rate Pricing," Econometric Reviews, Taylor & Francis Journals, vol. 35(3), pages 311-343, March.
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