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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
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    References listed on IDEAS

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    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. 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.
    4. 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.
    5. Bewley, R. A., 1983. "Tests of restrictions in large demand systems," European Economic Review, Elsevier, vol. 20(1-3), pages 257-269, January.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
    14. 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.
    15. repec:cup:etheor:v:12:y:1996:i:3:p:409-31 is not listed on IDEAS
    16. 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..
    17. 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.
    18. 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.
    19. 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.
    20. Chambers,Robert G., 1988. "Applied Production Analysis," Cambridge Books, Cambridge University Press, number 9780521314275.
    21. 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.
    22. 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.
    23. 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.
    24. 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.
    25. 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.
    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.
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    5. 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.
    6. 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.
    7. 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.
    8. 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.

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