IDEAS home Printed from https://ideas.repec.org/p/kan/wpaper/201214.html
   My bibliography  Save this paper

Technology Modeling: Curvature is not Sufficient for Regularity

Author

Listed:
  • William Barnett

    (Department of Economics, University of Kansas)

  • Milka Kirova

    (Washington University in St.Louis)

  • Meenakshi Pasupathy

    (Washington University in St.Louis)

Abstract

We estimate the generalized McFadden (generalized quadratic) production function by GMM for a manufacturing firm that uses risky monetary assets among its inputs and for a bank that produces risky monetary assets as outputs. We impose curvature globally and monotonicity at a point, as is the capability of the model. We find that monotonicity is violated at many data points away from the one point at which it is imposed. We conclude that the model's inability to impose monotonicity globally is a serious limitation, despite the ability to impose curvature globally.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • William Barnett & Milka Kirova & Meenakshi Pasupathy, 2012. "Technology Modeling: Curvature is not Sufficient for Regularity," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201214, University of Kansas, Department of Economics, revised Sep 2012.
  • Handle: RePEc:kan:wpaper:201214
    as

    Download full text from publisher

    File URL: http://www2.ku.edu/~kuwpaper/2009Papers/201214.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    2. James M. Poterba & Julio J. Rotemberg, 1986. "Money in the Utility Function: An Empirical Implementation," Working papers 408, Massachusetts Institute of Technology (MIT), Department of Economics.
    3. 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.
    4. Belongia, Michael T & Chalfant, James A, 1989. "The Changing Empirical Definition of Money: Some Estimates from a Model of the Demand for Money Substitutes," Journal of Political Economy, University of Chicago Press, vol. 97(2), pages 387-397, April.
    5. William A. Barnett, 2000. "Economic Monetary Aggregates: An Application of Index Number and Aggregation Theory," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 11-48, Emerald Group Publishing Limited.
    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. Feenstra, Robert C., 1986. "Functional equivalence between liquidity costs and the utility of money," Journal of Monetary Economics, Elsevier, vol. 17(2), pages 271-291, March.
    8. 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.
    9. W.A. Barnett & J.M. Binner, 2004. "The Global Properties of the Minflex Laurent, Generalized Leontief, and Translog Flexible Functional Forms," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 79-97, Emerald Group Publishing Limited.
    10. Koop, Gary & Osiewalski, Jacek & Steel, Mark F J, 1994. "Bayesian Efficiency Analysis with a Flexible Form: The AIM Cost Function," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(3), pages 339-346, July.
    11. Diewert, W. E., 1973. "Functional forms for profit and transformation functions," Journal of Economic Theory, Elsevier, vol. 6(3), pages 284-316, June.
    12. William A. Barnett & Milka Kirova & Meenakshi Pasupathy, 2000. "Estimating Policy-Invariant Deep Parameters in the Financial Sector When Risk and Growth Matter," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 530-557, Emerald Group Publishing Limited.
    13. Swofford, James L & Whitney, Gerald A, 1987. "Nonparametric Tests of Utility Maximization and Weak Separability for Consumption, Leisure and Money," The Review of Economics and Statistics, MIT Press, vol. 69(3), pages 458-464, August.
    14. Murray, John D & White, Robert W, 1983. "Economies of Scale and Economies of Scope in Multiproduct Financial Institutions: A Study of British Columbia Credit Unions," Journal of Finance, American Finance Association, vol. 38(3), pages 887-902, June.
    15. Mullineaux, Donald J, 1978. "Economies of Scale and Organizational Efficiency in Banking: A Profit-Function Approach," Journal of Finance, American Finance Association, vol. 33(1), pages 259-280, March.
    16. Wales, Terence J., 1977. "On the flexibility of flexible functional forms : An empirical approach," Journal of Econometrics, Elsevier, vol. 5(2), pages 183-193, March.
    17. W.A. Barnett, 2004. "Definitions of Second-Order Approximation and of Flexible Functional Form," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 75-78, Emerald Group Publishing Limited.
    18. William A. Barnett & Michael Wolfe, 2004. "The Global Properties of the Two Minflex Laurent Flexible Functional Forms," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 141-157, Emerald Group Publishing Limited.
    19. Barnett, William A. & Lee, Yul W. & Wolfe, Michael D., 1985. "The three-dimensional global properties of the minflex laurent, generalized leontief, and translog flexible functional forms," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 3-31.
    20. Feldstein, Martin & Stock, James H., 1996. "Measuring money growth when financial markets are changing," Journal of Monetary Economics, Elsevier, vol. 37(1), pages 3-27, February.
    21. Benston, George J & Hanweck, Gerald A & Humphrey, David B, 1982. "Scale Economies in Banking: A Restructuring and Reassessment," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 14(4), pages 435-456, November.
    22. William A. Barnett & Ge Zhou, 2004. "Financial Firm's Production and Supply-Side Monetary Aggregation Under Dynamic Uncertainty," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 381-427, Emerald Group Publishing Limited.
    23. Barnett,William A. & Powell,James & Tauchen,George E. (ed.), 1991. "Nonparametric and Semiparametric Methods in Econometrics and Statistics," Cambridge Books, Cambridge University Press, number 9780521424318.
    24. Diewert, W. E. & Wales, T. J., 1988. "A normalized quadratic semiflexible functional form," Journal of Econometrics, Elsevier, vol. 37(3), pages 327-342, March.
    25. K. Alec Chrystal & Ronald MacDonald, 1994. "Empirical evidence on the recent behavior and usefulness of simple-sum and weighted measures of the money stock," Proceedings, Federal Reserve Bank of St. Louis, issue Mar, pages 73-109.
    26. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    27. Drake, Leigh & Chrystal, K Alec, 1994. "Company-Sector Money Demand: New Evidence on the Existence of a Stable Long-Run Relationship for the United Kingdom," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 26(3), pages 479-494, August.
    28. William A. Barnett & Douglas Fisher & Apostolos Serletis, 2006. "Consumer Theory and the Demand for Money," World Scientific Book Chapters, in: Money And The Economy, chapter 1, pages 3-43, World Scientific Publishing Co. Pte. Ltd..
    29. J. P. Gould, 1968. "Adjustment Costs in the Theory of Investment of the Firm," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(1), pages 47-55.
    30. Hansen, Lars Peter & Singleton, Kenneth J, 1982. "Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 50(5), pages 1269-1286, September.
    31. Rotemberg, Julio J & Driscoll, John C & Poterba, James M, 1995. "Money, Output, and Prices: Evidence from a New Monetary Aggregate," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(1), pages 67-83, January.
    32. William A. Barnett & Melvin Hinich & Piyu Yue, 2000. "Monitoring Monetary Aggregates Under Risk Aversion," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 217-244, Emerald Group Publishing Limited.
    33. William A. Barnett & Jeong Ho Hahm, 2004. "Financial Firm Production of Monetary Services: A Generalized Symmetric Barnett Variable Profit Function Approach," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 351-380, Emerald Group Publishing Limited.
    34. William Barnett, 2005. "Monetary Aggregation," Macroeconomics 0503017, University Library of Munich, Germany.
    35. Daniel L. Thornton & Piyu Yue, 1992. "An extended series of divisia monetary aggregates," Review, Federal Reserve Bank of St. Louis, issue Nov, pages 35-52.
    36. Clark, Jeffrey A, 1984. "Estimation of Economies of Scale in Banking Using a Generalized Functional Form," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 16(1), pages 53-68, February.
    37. Berger, Allen N. & Hanweck, Gerald A. & Humphrey, David B., 1987. "Competitive viability in banking : Scale, scope, and product mix economies," Journal of Monetary Economics, Elsevier, vol. 20(3), pages 501-520, December.
    38. Bernanke, Ben S, 1983. "The Determinants of Investment: Another Look," American Economic Review, American Economic Association, vol. 73(2), pages 71-75, May.
    39. Hancock, Diana, 1985. "The Financial Firm: Production with Monetary and Nonmonetary Goods," Journal of Political Economy, University of Chicago Press, vol. 93(5), pages 859-880, October.
    40. Barnett,William A. & Powell,James & Tauchen,George E. (ed.), 1991. "Nonparametric and Semiparametric Methods in Econometrics and Statistics," Cambridge Books, Cambridge University Press, number 9780521370905.
    41. PHLIPS, Louis & SPINNEWYN, Frans, 1982. "Rationality versus myopia in dynamic demand systems," LIDAM Reprints CORE 468, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    42. Belongia, Michael T, 1996. "Measurement Matters: Recent Results from Monetary Economics Reexamined," Journal of Political Economy, University of Chicago Press, vol. 104(5), pages 1065-1083, October.
    43. William C. Brainard, 1994. "Financial firm's production and supply-side monetary aggregation under dynamic uncertainty: commentary," Proceedings, Federal Reserve Bank of St. Louis, issue Mar, pages 166-168.
    44. Caves, Douglas W & Christensen, Laurits R, 1980. "Global Properties of Flexible Functional Forms," American Economic Review, American Economic Association, vol. 70(3), pages 422-432, June.
    45. Pindyck, Robert S & Rotemberg, Julio J, 1983. "Dynamic Factor Demands and the Effects of Energy Price Shocks," American Economic Review, American Economic Association, vol. 73(5), pages 1066-1079, December.
    46. Blackorby, Charles & Primont, Daniel & Russell, R. Robert, 1977. "On testing separability restrictions with flexible functional forms," Journal of Econometrics, Elsevier, vol. 5(2), pages 195-209, March.
    47. Guilkey, David K & Lovell, C A Knox & Sickles, Robin C, 1983. "A Comparison of the Performance of Three Flexible Functional Forms," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(3), pages 591-616, October.
    48. Olivier Jean Blanchard & Stanley Fischer, 1989. "Lectures on Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262022834, December.
    49. Diewert, W. E. & Wales, T. J., 1995. "Flexible functional forms and tests of homogeneous separability," Journal of Econometrics, Elsevier, vol. 67(2), pages 259-302, June.
    50. Robert E. Lucas & Jr., 1967. "Adjustment Costs and the Theory of Supply," Journal of Political Economy, University of Chicago Press, vol. 75, pages 321-321.
    51. Diewert, W E, 1980. "Capital and the Theory of Productivity Measurement," American Economic Review, American Economic Association, vol. 70(2), pages 260-267, May.
    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. William Barnett & Barry E. Jones & Milka Kirova & Travis D. Nesmith & Meenakshi Pasupathy1, 2004. "The Nonlinear Skeletons in the Closet," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200403, University of Kansas, Department of Economics, revised May 2004.
    2. William A. Barnett & Melvin J. Hinich & Piyu Yue, 2011. "The Exact Theoretical Rational Expectations Monetary Aggregate," World Scientific Book Chapters, in: Financial Aggregation And Index Number Theory, chapter 2, pages 53-84, World Scientific Publishing Co. Pte. Ltd..
    3. William A. Barnett & Yi Liu, 2000. "Beyond the Risk-neutral Utility Function," Palgrave Macmillan Books, in: Michael T. Belongia & Jane M. Binner (ed.), Divisia Monetary Aggregates, chapter 1, pages 11-27, Palgrave Macmillan.
    4. William Barnett & Meenakshi Pasupathy, 2003. "Regularity of the Generalized Quadratic Production Model: A Counterexample," Econometric Reviews, Taylor & Francis Journals, vol. 22(2), pages 135-154.
    5. Barnett, William A. & Serletis, Apostolos, 2008. "Consumer preferences and demand systems," Journal of Econometrics, Elsevier, vol. 147(2), pages 210-224, December.
    6. William A. Barnett, 2000. "Which Road Leads to Stable Money Demand?," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 577-592, Emerald Group Publishing Limited.
    7. William A. Barnett & Yi Liu & Haiyang Xu & Mark Jensen, 1996. "The CAPM Risk Adjustment Needed for Exact Aggregation over Financial Assets," Econometrics 9602003, University Library of Munich, Germany.
    8. William A. Barnett & Yi Liu, 1996. "The CAPM-Extended Divisia Monetary Aggregate with Exact Tracking under Risk," Finance 9602001, University Library of Munich, Germany.
    9. William A. Barnett & Ikuyasu Usui, 2007. "The Theoretical Regularity Properties of the Normalized Quadratic Consumer Demand Model," International Symposia in Economic Theory and Econometrics, in: Functional Structure Inference, pages 107-127, Emerald Group Publishing Limited.
    10. Barnett, William A. & Chauvet, Marcelle, 2011. "How better monetary statistics could have signaled the financial crisis," Journal of Econometrics, Elsevier, vol. 161(1), pages 6-23, March.
    11. Serletis, Apostolos & Xu, Libo, 2020. "Functional monetary aggregates, monetary policy, and business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 121(C).
    12. Barnett, William A. & Erwin Diewert, W. & Zellner, Arnold, 2011. "Introduction to measurement with theory," Journal of Econometrics, Elsevier, vol. 161(1), pages 1-5, March.
    13. Barnett, William A. & Serletis, Apostolos, 2008. "Measuring Consumer Preferences and Estimating Demand Systems," MPRA Paper 12318, University Library of Munich, Germany.
    14. Mark Jensen, 1997. "Revisiting the flexibility and regularity properties of the asymptotically ideal production model," Econometric Reviews, Taylor & Francis Journals, vol. 16(2), pages 179-203.
    15. Chang, Dongfeng & Serletis, Apostolos, 2012. "Imposing local curvature in the QUAIDS," Economics Letters, Elsevier, vol. 115(1), pages 41-43.
    16. Serletis, Apostolos & Rangel-Ruiz, Ricardo, 2005. "Microeconometrics and measurement matters: Some results from monetary economics for Canada," Journal of Macroeconomics, Elsevier, vol. 27(2), pages 307-330, June.
    17. Baccar, Sourour, 1995. "Reliability of the Translog Cost Function : Some Theory & an Application to the Demand of Energy in French Manufacturing," MPRA Paper 53987, University Library of Munich, Germany.
    18. Hilmer, Christiana E. & Holt, Matthew T., 2000. "A Comparison Of Resampling Techniques When Parameters Are On A Boundary: The Bootstrap, Subsample Bootstrap, And Subsample Jackknife," 2000 Annual meeting, July 30-August 2, Tampa, FL 21810, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    19. William Barnett & Ousmane Seck, 2006. "Rotterdam vs Almost Ideal Models: Will the Best Demand Specification Please Stand Up?," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200605, University of Kansas, Department of Economics.
    20. Richard G. Anderson & Barry E. Jones & Travis D. Nesmith, 1997. "Special report: The monetary services index project of the Federal Reserve Bank of St. Louis: introduction to the St. Louis monetary services index project," Review, Federal Reserve Bank of St. Louis, issue Jan, pages 25-30.

    More about this item

    JEL classification:

    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables

    Statistics

    Access and download statistics

    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:kan:wpaper:201214. 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: Professor Zongwu Cai (email available below). General contact details of provider: https://edirc.repec.org/data/deuksus.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.