IDEAS home Printed from https://ideas.repec.org/p/ags/ucdavw/93743.html
   My bibliography  Save this paper

A Nonlinear Generalized Additive Error Model of Production and Cost

Author

Listed:
  • Paris, Quirino
  • Caputo, Michael R.

Abstract

In 1944, Marschak and Andrews published a seminal paper on how to obtain consistent estimates of a production technology. The original formulation of the econometric model regarded the joint estimation of the production function together with the first-order necessary conditions for profit-maximizing behavior. In the seventies, with the advent of econometric duality, the preference seemed to have shifted to a dual approach. Recently, however, Mundlak resurrected the primal-versus-dual debate with a provocative paper titled “Production Function Estimation: Reviving the Primal.” In that paper, the author asserts that the dual estimator, unlike the primal approach, is not efficient because it fails to utilize all the available information. In this paper we demonstrate that efficient estimates of the production technology can be obtained only by jointly estimating all the relevant primal and dual relations. Thus, the primal approach of Mundlak and the dual approach of McElroy become nested special cases of the general specification. In the process of putting to rest the primal-versus-dual debate, we solve also the nonlinear errors-in-variables problem when all the variables are measured with error.

Suggested Citation

  • Paris, Quirino & Caputo, Michael R., 2004. "A Nonlinear Generalized Additive Error Model of Production and Cost," Working Papers 93743, University of California, Davis, Department of Agricultural and Resource Economics.
  • Handle: RePEc:ags:ucdavw:93743
    DOI: 10.22004/ag.econ.93743
    as

    Download full text from publisher

    File URL: https://ageconsearch.umn.edu/record/93743/files/04-017.pdf
    Download Restriction: no

    File URL: https://libkey.io/10.22004/ag.econ.93743?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Sexton, Richard J. & Wilson, Brooks M. & Wann, Joyce J., 1989. "Some Tests Of The Economic Theory Of Cooperatives: Methodology And Application To Cotton Ginning," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 14(1), pages 1-11, July.
    2. repec:cor:louvrp:-12 is not listed on IDEAS
    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. Davidson, Russell & MacKinnon, James G., 1993. "Estimation and Inference in Econometrics," OUP Catalogue, Oxford University Press, number 9780195060119.
    5. Fuss, Melvyn & McFadden, Daniel, 1978. "Production Economics: A Dual Approach to Theory and Applications (II): Applications of the Theory of Production," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, volume 2, number fuss1978a.
    6. Schmidt, Peter, 1988. "Estimation of a fixed-effect Cobb-Douglas system using panel data," Journal of Econometrics, Elsevier, vol. 37(3), pages 361-380, March.
    7. Fuss, Melvyn & McFadden, Daniel (ed.), 1978. "Production Economics: A Dual Approach to Theory and Applications," Elsevier Monographs, Elsevier, edition 1, number 9780444850133.
    8. Leamer, Edward E, 1987. "Errors in Variables in Linear Systems," Econometrica, Econometric Society, vol. 55(4), pages 893-909, July.
    9. Klepper, Steven & Leamer, Edward E, 1984. "Consistent Sets of Estimates for Regressions with Errors in All Variables," Econometrica, Econometric Society, vol. 52(1), pages 163-183, January.
    10. McElroy, Marjorie B, 1987. "Additive General Error Models for Production, Cost, and Derived Demand or Share Systems," Journal of Political Economy, University of Chicago Press, vol. 95(4), pages 737-757, August.
    11. Fuller, Wayne A., 1980. "The use of indicator variables in computing predictions," Journal of Econometrics, Elsevier, vol. 12(2), pages 231-243, February.
    12. Fuss, Melvyn & McFadden, Daniel, 1978. "Production Economics: A Dual Approach to Theory and Applications (I): The Theory of Production," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, volume 1, number fuss1978.
    13. ZELLNER, Arnold & KMENTA, Jan & DREZE, Jacques H., 1966. "Specification and estimation of Cobb-Douglas production function models," LIDAM Reprints CORE 12, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    14. Griliches, Zvi, 1974. "Errors in Variables and Other Unobservables," Econometrica, Econometric Society, vol. 42(6), pages 971-998, November.
    Full references (including those not matched with items on IDEAS)

    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. Paris, Quirino & Caputo, Michael R., 2004. "Efficient Estimates of a Model of Production and Cost," Working Papers 93742, University of California, Davis, Department of Agricultural and Resource Economics.
    2. Michael Caputo & Quirino Paris, 2005. "An Atemporal Microeconomic Theory and an Empirical Test of Price-Induced Technical Progress," Journal of Productivity Analysis, Springer, vol. 24(3), pages 259-281, November.
    3. Rulon D. Pope & Jeffrey T. LaFrance & Richard E. Just, 2007. "Imperfect Price Deflation in Production Systems," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 89(3), pages 738-754.
    4. Barnett, William A. & Serletis, Apostolos, 2008. "Consumer preferences and demand systems," Journal of Econometrics, Elsevier, vol. 147(2), pages 210-224, December.
    5. 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.
    6. Sadorsky, P. A., 1989. "Measuring Resource Scarcity in Non-renewable Resources with Inequality Constrained Estimation," Queen's Institute for Economic Research Discussion Papers 275216, Queen's University - Department of Economics.
    7. Aguiar, Victor H. & Kashaev, Nail & Allen, Roy, 2023. "Prices, profits, proxies, and production," Journal of Econometrics, Elsevier, vol. 235(2), pages 666-693.
    8. Harrigan, James, 1997. "Technology, Factor Supplies, and International Specialization: Estimating the Neoclassical Model," American Economic Review, American Economic Association, vol. 87(4), pages 475-494, September.
    9. McDonald, John & Snooks, G. D., 1986. "Domesday Economy: A New Approach to Anglo-Norman History," OUP Catalogue, Oxford University Press, number 9780198285243.
    10. Brown, Bryan W. & Walker, Mary Beth, 1995. "Stochastic specification in random production models of cost-minimizing firms," Journal of Econometrics, Elsevier, vol. 66(1-2), pages 175-205.
    11. 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.
    12. Moschini, GianCarlo, 2001. "Production risk and the estimation of ex-ante cost functions," Journal of Econometrics, Elsevier, vol. 100(2), pages 357-380, February.
    13. Ivaldi, Marc & McCullough, Gerard, 2005. "Welfare Trade-Offs in US Rail Mergers," CEPR Discussion Papers 5000, C.E.P.R. Discussion Papers.
    14. Pope, Rulon D. & Just, Richard E., 1996. "Empirical implementation of ex ante cost functions," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 231-249.
    15. Ryu, Hang Keun, 2011. "Subjective model selection rules versus passive model selection rules," Economic Modelling, Elsevier, vol. 28(1-2), pages 459-472, January.
    16. Guyomard, Herve & Mahe, Louis Adrien Pascal, 1993. "Producer Behaviour Under Strict Rationing and Quai-Fixed Factors," Bulletins 7489, University of Minnesota, Economic Development Center.
    17. Paul Schreyer & María Belén Zinni, 2021. "Productivity Measurement, R&D Assets, and Mark‐Ups in OECD Countries," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 67(4), pages 787-809, December.
    18. Levent Kutlu & Shasha Liu & Robin C. Sickles, 2022. "Cost, Revenue, and Profit Function Estimates," Springer Books, in: Subhash C. Ray & Robert G. Chambers & Subal C. Kumbhakar (ed.), Handbook of Production Economics, chapter 16, pages 641-679, Springer.
    19. Msafiri D. Mbaga & Robert Romain & Bruno Larue & Luc Lebel, 2003. "Assessing Technical Efficiency of Québec Dairy Farms," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 51(1), pages 121-137, March.
    20. Ryu, Hang Keun, 2011. "Subjective model selection rules versus passive model selection rules," Economic Modelling, Elsevier, vol. 28(1), pages 459-472.

    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:ags:ucdavw:93743. 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: AgEcon Search (email available below). General contact details of provider: https://edirc.repec.org/data/daucdus.html .

    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.