IDEAS home Printed from https://ideas.repec.org/a/jae/japmet/v16y2001i6p709-726.html
   My bibliography  Save this article

Estimating economic relationships subject to firm- and time-varying equality and inequality constraints

Author

Listed:
  • Christopher J. O'Donnell

    (School of Economics, University of New England NSW 2351, Australia)

  • Alicia N. Rambaldi

    (University of Queensland, Brisbane, QLD 4072, Australia)

  • Howard E. Doran

    (School of Economics, University of New England NSW 2351, Australia)

Abstract

Applied econometricians often fail to impose economic regularity constraints in the exact form economic theory prescribes. We show how the Singular Value Decomposition (SVD) Theorem and Markov Chain Monte Carlo (MCMC) methods can be used to rigorously impose time- and firm-varying equality and inequality constraints. To illustrate the technique we estimate a system of translog input demand functions subject to all the constraints implied by economic theory, including observation-varying symmetry and concavity constraints. Results are presented in the form of characteristics of the estimated posterior distributions of functions of the parameters. Copyright © 2001 John Wiley & Sons, Ltd.

Suggested Citation

  • Christopher J. O'Donnell & Alicia N. Rambaldi & Howard E. Doran, 2001. "Estimating economic relationships subject to firm- and time-varying equality and inequality constraints," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(6), pages 709-726.
    • Handle: RePEc:jae:japmet:v:16:y:2001:i:6:p:709-726
    as

    Download full text from publisher

    File URL: http://qed.econ.queensu.ca:80/jae/2001-v16.6/
    File Function: Supporting data files and programs
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Giancarlo Moschini & Karl D. Meilke, 1989. "Modeling the Pattern of Structural Change in U.S. Meat Demand," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 71(2), pages 253-261.
    2. Selvanathan, E A, 1989. "A Note on the Stochastic Approach to Index Numbers," Journal of Business & Economic Statistics, American Statistical Association, vol. 7(4), pages 471-474, October.
    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. Chib, Siddhartha & Greenberg, Edward, 1996. "Markov Chain Monte Carlo Simulation Methods in Econometrics," Econometric Theory, Cambridge University Press, vol. 12(3), pages 409-431, August.
    5. James S. Eales & Laurian J. Unnevehr, 1988. "Demand for Beef and Chicken Products: Separability and Structural Change," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 70(3), pages 521-532.
    6. Chalfant, James A, 1987. "A Globally Flexible, Almost Ideal Demand System," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(2), pages 233-242, April.
    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. Griffiths, William E. & O'Donnell, Christopher J. & Cruz, Agustina Tan, 2000. "Imposing regularity conditions on a system of cost and factor share equations," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 44(1), pages 1-21.
    9. 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.
    10. Chambers,Robert G., 1988. "Applied Production Analysis," Cambridge Books, Cambridge University Press, number 9780521314275.
    11. Clements, Kenneth W & Izan, H Y, 1987. "The Measurement of Inflation: A Stochastic Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(3), pages 339-350, July.
    12. C. Richard Shumway, 1989. "Testing Structure and Behavior with First- and Second-order Taylor Series Expansions," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 37(1), pages 95-109, March.
    13. Blanciforti, Laura Ann & Green, Richard, 1983. "The Almost Ideal Demand System: A Comparison and Application to Food Groups," Journal of Agricultural Economics Research, United States Department of Agriculture, Economic Research Service, vol. 35(3), pages 1-10, July.
    14. Geweke, John, 1986. "Exact Inference in the Inequality Constrained Normal Linear Regression Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 1(2), pages 127-141, April.
    15. Brian W. Gould & Thomas L. Cox & Federico Perali, 1991. "Demand for Food Fats and Oils: The Role of Demographic Variables and Government Donations," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 73(1), pages 212-221.
    16. Bewley, R. A., 1983. "Tests of restrictions in large demand systems," European Economic Review, Elsevier, vol. 20(1-3), pages 257-269, January.
    17. Julian M. Alston & James A. Chalfant, 1993. "The Silence of the Lambdas: A Test of the Almost Ideal and Rotterdam Models," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 75(2), pages 304-313.
    18. Villezca-Becerra, Pedro A. & Shumway, C. Richard, 1992. "Multiple-Output Production Modeled With Three Functional Forms," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 17(1), pages 1-16, July.
    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. Adolf Buse, 1998. "Testing Homogeneity in the Linearized Almost Ideal Demand System," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 80(1), pages 208-220.
    21. repec:cup:etheor:v:12:y:1996:i:3:p:409-31 is not listed on IDEAS
    22. Coelli, T J, 1996. "Measurement of Total Factor Productivity Growth and Biases in Technological Change in Western Australian Agriculture," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(1), pages 77-91, Jan.-Feb..
    23. V. Eldon Ball & Frank M. Gollop & Alison Kelly-Hawke & Gregory P. Swinand, 1999. "Patterns of State Productivity Growth in the U.S. Farm Sector: Linking State and Aggregate Models," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 81(1), pages 164-179.
    24. Doran, Howard E. & Rambaldi, Alicia N., 1997. "Applying linear time-varying constraints to econometric models: With an application to demand systems," Journal of Econometrics, Elsevier, vol. 79(1), pages 83-95, July.
    25. P. Tryfos & N. Tryphonopoulos, 1973. "Consumer Demand for Meat in Canada," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 55(4_Part_1), pages 647-652.
    26. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-326, June.
    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. Hendrik Wolff & Thomas Heckelei & Ron Mittelhammer, 2010. "Imposing Curvature and Monotonicity on Flexible Functional Forms: An Efficient Regional Approach," Computational Economics, Springer;Society for Computational Economics, vol. 36(4), pages 309-339, December.
    2. Caroline Khan & Mike G. Tsionas, 2021. "Constraints in models of production and cost via slack-based measures," Empirical Economics, Springer, vol. 61(6), pages 3347-3374, December.
    3. Christopher Parmeter & Kai Sun & Daniel Henderson & Subal Kumbhakar, 2014. "Estimation and inference under economic restrictions," Journal of Productivity Analysis, Springer, vol. 41(1), pages 111-129, February.
    4. Wolff, Hendrik & Heckelei, Thomas & Mittelhammer, Ronald C., 2004. "Imposing Monotonicity And Curvature On Flexible Functional Forms," 2004 Annual meeting, August 1-4, Denver, CO 20256, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    5. Kai Sun & Ruhul Salim, 2020. "A semiparametric stochastic input distance frontier model with application to the Indonesian banking industry," Journal of Productivity Analysis, Springer, vol. 54(2), pages 139-156, December.
    6. Fengxia Dong & Thomas L. Marsh & Kyle W. Stiegert, 2006. "State Trading Enterprises in a Differentiated Product Environment: The Case of Global Malting Barley Markets," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 88(1), pages 90-103.
    7. O'Donnell, Christopher J., 2006. "Some Econometric Options For Dealing With Unknown Functional Form," 2006 Conference (50th), February 8-10, 2006, Sydney, Australia 137787, Australian Agricultural and Resource Economics Society.
    8. Mike Tsionas & Christopher F. Parmeter & Valentin Zelenyuk, 2021. "Bridging the Divide? Bayesian Artificial Neural Networks for Frontier Efficiency Analysis," CEPA Working Papers Series WP082021, School of Economics, University of Queensland, Australia.

    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. O'Donnell, Christopher J., 2000. "Estimating The Characteristics Of Homogeneous Functionsusing Flexible Functional Forms," 2000 Conference (44th), January 23-25, 2000, Sydney, Australia 123713, Australian Agricultural and Resource Economics Society.
    2. Alejandro Onofri & Lilyan E. Fulginiti, 2005. "Public Inputs and Productivty in the Agricultural Sector: A Dynamic Dual Approach," Others 0502011, University Library of Munich, Germany.
    3. Hendrik Wolff & Thomas Heckelei & Ron Mittelhammer, 2010. "Imposing Curvature and Monotonicity on Flexible Functional Forms: An Efficient Regional Approach," Computational Economics, Springer;Society for Computational Economics, vol. 36(4), pages 309-339, December.
    4. O'Donnell, Christopher J. & Coelli, Timothy J., 2005. "A Bayesian approach to imposing curvature on distance functions," Journal of Econometrics, Elsevier, vol. 126(2), pages 493-523, June.
    5. William A. Barnett & Isaac Kalonda Kanyama, 2013. "Time-varying parameters in the almost ideal demand system and the Rotterdam model: will the best specification please stand up?," Applied Economics, Taylor & Francis Journals, vol. 45(29), pages 4169-4183, October.
    6. Griffiths, William E. & O'Donnell, Christopher J. & Cruz, Agustina Tan, 2000. "Imposing regularity conditions on a system of cost and factor share equations," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 44(1), pages 1-21.
    7. William A. Barnett & Isaac Kalonda Kanyama, 2013. "Time-varying parameters in the almost ideal demand system and the Rotterdam model: will the best specification please stand up?," Applied Economics, Taylor & Francis Journals, vol. 45(29), pages 4169-4183, October.
    8. Nguyen, Duong T.M. & McLaren, Keith Robert & Zhao, Xueyan, 2008. "Multi-Output Broadacre Agricultural Production: Estimating A Cost Function Using Quasi-Micro Farm Level Data From Australia," 2008 Conference (52nd), February 5-8, 2008, Canberra, Australia 6009, Australian Agricultural and Resource Economics Society.
    9. Holt, Matthew T. & Goodwin, Barry K., 2009. "The Almost Ideal and Translog Demand Systems," MPRA Paper 15092, University Library of Munich, Germany.
    10. Barnett, William A. & Serletis, Apostolos, 2008. "Consumer preferences and demand systems," Journal of Econometrics, Elsevier, vol. 147(2), pages 210-224, December.
    11. James A. Chalfant & Richard S. Gray & Kenneth J. White, 1991. "Evaluating Prior Beliefs in a Demand System: The Case of Meat Demand in Canada," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 73(2), pages 476-490.
    12. 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.
    13. Yeboah, Godfred & Maynard, Leigh J., 2004. "The Impact Of Bse, Fmd, And U.S. Export Promotion Expenditures On Japanese Meat Demand," 2004 Annual meeting, August 1-4, Denver, CO 19978, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    14. Sauer, J., 2007. "Monotonicity and Curvature – A Bootstrapping Approach," Proceedings “Schriften der Gesellschaft für Wirtschafts- und Sozialwissenschaften des Landbaues e.V.”, German Association of Agricultural Economists (GEWISOLA), vol. 42, March.
    15. Paul Cashin, 1991. "A Model Of The Disaggregated Demand For Meat In Australia," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 35(3), pages 263-283, December.
    16. Jung, Jione & Koo, Won W., 2002. "Demand For Meat And Fish Products In Korea," 2002 Annual meeting, July 28-31, Long Beach, CA 19895, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    17. Hanrahan, Kevin F. & Westhoff, Patrick C. & Young, Robert E., II, 2001. "Trade Allocation Modeling: Comparing The Results From Armington And Locally Regular Ai Demand System Specifications Of A Uk Beef Import Demand Allocation Model," 2001 Annual meeting, August 5-8, Chicago, IL 20510, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    18. Burton, Michael & Young, Trevor, 1990. "Changes in Consumer Preferences For Meat in Great Britain: Non-Parametric and Parametric Analysis," Manchester Working Papers in Agricultural Economics 232820, University of Manchester, School of Economics, Agricultural Economics Department.
    19. 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.
    20. Sauer, Johannes, 2006. "Monotonicity And Curvature - A Bootstrapping Approach," 46th Annual Conference, Giessen, Germany, October 4-6, 2006 14948, German Association of Agricultural Economists (GEWISOLA).

    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:jae:japmet:v:16:y:2001:i:6:p:709-726. 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: Wiley-Blackwell Digital Licensing or Christopher F. Baum (email available below). General contact details of provider: http://www.interscience.wiley.com/jpages/0883-7252/ .

    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.