IDEAS home Printed from https://ideas.repec.org/a/eee/econom/v147y2008i2p384-395.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4076(08)00152-8
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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. 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.
    5. 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.
    6. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
    7. 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.
    8. Mark M. Pitt & Daniel L. Millimet, 1999. "Estimation of Coherent Demand Systems with Many Binding Non-Negativity Constraints," Working Papers 99-4, Brown University, Department of Economics.
    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. 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.
    16. Hausman, Jerry A, 1985. "The Econometrics of Nonlinear Budget Sets," Econometrica, Econometric Society, vol. 53(6), pages 1255-1282, November.
    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. 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.
    23. 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(1), pages 1-18, July.
    24. 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.
    25. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Arthur Lewbel & Lars Nesheim, 2019. "Sparse demand systems: corners and complements," Boston College Working Papers in Economics 1005, Boston College Department of Economics.
    2. 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.
    3. 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.
    4. Mikkel Barslund, 2011. "Censored Demand System Estimation with Endogenous Expenditures in clustered samples: an application to food demand in urban Mozambique," LICOS Discussion Papers 28011, LICOS - Centre for Institutions and Economic Performance, KU Leuven.
    5. 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.
    6. Thomas, Alban & Chakir, Raja, 2020. "Unintended consequences of environmental policies: the case of set-aside and agricultural intensification," TSE Working Papers 20-1066, Toulouse School of Economics (TSE).
    7. Jean-Pierre H. Dubé, 2018. "Microeconometric Models of Consumer Demand," NBER Working Papers 25215, National Bureau of Economic Research, Inc.
    8. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mark M. Pitt & Daniel L. Millimet, 1999. "Estimation of Coherent Demand Systems with Many Binding Non-Negativity Constraints," Working Papers 99-4, Brown University, Department of Economics.
    2. 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.
    3. Davis, Christopher G. & Blayney, Donald & Dong, Diansheng & Yen, Steven T. & Johnson, Rachel J., 2011. "Will Changing Demographics Affect U.S. Cheese Demand?," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 43(2), pages 259-273, May.
    4. 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.
    5. Thomas, Alban & Chakir, Raja, 2020. "Unintended consequences of environmental policies: the case of set-aside and agricultural intensification," TSE Working Papers 20-1066, Toulouse School of Economics (TSE).
    6. Raja Chakir & Alban Thomas, 2003. "Simulated maximum likelihood estimation of demand systems with corner solutions and panel data application to industrial energy demand," Revue d'économie politique, Dalloz, vol. 113(6), pages 773-799.
    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. Nitin Mehta, 2015. "A Flexible Yet Globally Regular Multigood Demand System," Marketing Science, INFORMS, vol. 34(6), pages 843-863, November.
    9. Bousquet, Alain & Ivaldi, Marc, 1998. "An individual choice model of energy mix," Resource and Energy Economics, Elsevier, vol. 20(3), pages 263-286, September.
    10. Arthur Lewbel & Lars Nesheim, 2019. "Sparse demand systems: corners and complements," Boston College Working Papers in Economics 1005, Boston College Department of Economics.
    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. 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(1), pages 1-18, July.
    13. Malaga, Jaime E. & Pan, Suwen & Duch-Carvallo, Teresa, 2009. "Did Mexican Meat Demand Change under NAFTA?," 2009 Conference, August 16-22, 2009, Beijing, China 51430, International Association of Agricultural Economists.
    14. Xiaonan Liu & Jeffrey T. LaFrance & Hayley H. Chouinard & Thomas L. Marsh, 2013. "A Generalized Utility Model with Binding Non-Negativity Constraints: Demand for Beer," 2013 Papers pli830, Job Market Papers.
    15. Bousquet, Alain & Ladoux, Norbert, 2006. "Flexible versus designated technologies and interfuel substitution," Energy Economics, Elsevier, vol. 28(4), pages 426-443, July.
    16. Jean-Pierre H. Dubé, 2018. "Microeconometric Models of Consumer Demand," NBER Working Papers 25215, National Bureau of Economic Research, Inc.
    17. Gould, Brian W. & Yen, Steven T., 2002. "Food Demand In Mexico: A Quasi-Maximum Likelihood Approach," 2002 Annual meeting, July 28-31, Long Beach, CA 19667, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    18. Barnett, William A. & Serletis, Apostolos, 2008. "Consumer preferences and demand systems," Journal of Econometrics, Elsevier, vol. 147(2), pages 210-224, December.
    19. Dong, Diansheng & Kaiser, Harry M., 2003. "Estimation of a Censored AIDS Model: A Simulated Amemiya-Tobin Approach," Research Bulletins 122113, Cornell University, Department of Applied Economics and Management.
    20. Biing‐Hwan Lin & Steven T. Yen & Diansheng Dong & David M. Smallwood, 2010. "Economic Incentives For Dietary Improvement Among Food Stamp Recipients," Contemporary Economic Policy, Western Economic Association International, vol. 28(4), pages 524-536, October.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:econom:v:147:y:2008:i:2:p:384-395. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jeconom .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.