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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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    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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