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Imposing Curvature and Monotonicity on Flexible Functional Forms: An Efficient Regional Approach

  • Hendrik Wolff
  • Thomas Heckelei
  • Ron C. Mittelhammer

Abstract In many areas of economic analysis, economic theory restricts the shape as well as other characteristics of functions used to represent economic constructs. Obvious examples are the monotonicity and curvature conditions that apply to utility, profit, and cost functions. Commonly, these regularity conditions are imposed either locally or globally. Here we extend and improve upon currently available estimation methods for imposing regularity conditions by imposing regularity on a connected subset of the regressor space. This method offers important advantages over the local approach by imposing theoretical consistency not only locally, at a given evaluation point but also within the whole empirically relevant region of the domain associated with the function being estimated. The method also provides benefits relative to the global approach, through higher flexibility, which generally leads to a better model fit to the sample data compared to the global imposition of regularity. Specific contributions of this paper are (a) to increase the computational speed and tractability of imposing regularity conditions in estimation, (b) to provide regularity preserving point estimates, (c) to avoid biases existent in previous applications, and (d) to illustrate the benefits of the regional approach via numerical simulation results

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Paper provided by Econometric Society in its series Econometric Society 2004 North American Summer Meetings with number 450.

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Date of creation: 11 Aug 2004
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Handle: RePEc:ecm:nasm04:450
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  1. 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.
  2. Barnett, William A., 1985. "The minflex-laurent translog flexible functional form," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 33-44.
  3. Ait-Sahalia, Yacine & Duarte, Jefferson, 2003. "Nonparametric option pricing under shape restrictions," Journal of Econometrics, Elsevier, vol. 116(1-2), pages 9-47.
  4. C. L Chua & W. E. Griffiths & C. J O'Donnell, 2001. "Bayesian Model Averaging in Consumer Demand Systems with Inequality Constraints," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 49(3), pages 269-291, November.
  5. Ryan, David L & Wales, Terence J, 1998. "A Simple Method for Imposing Local Curvature in Some Flexible Consumer-Demand Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(3), pages 331-38, July.
  6. Tim J. Coelli & Chris O'Donnell, 2003. "A Bayesian Approach To Imposing Curvature On Distance Functions," CEPA Working Papers Series WP032003, School of Economics, University of Queensland, Australia.
  7. Matzkin, Rosa L., 1986. "Restrictions of economic theory in nonparametric methods," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 42, pages 2523-2558 Elsevier.
  8. William Barnett & Meenakshi Pasupathy, 2012. "Regularity Of The Generalized Quadratic Production Model: A Counterexample," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201235, University of Kansas, Department of Economics, revised Sep 2012.
  9. Koop, G. & Osiewalski, J. & Steel, M.F.J., 1994. "Bayesian efficiency analysis with a flexible form : The aim cost function," Discussion Paper 1994-13, Tilburg University, Center for Economic Research.
  10. repec:inr:wpaper:153156 is not listed on IDEAS
  11. Tripathi, G., 1997. "Semiparametric Efficiency Bounds Under Shape Restrictions," Working papers 9720, Wisconsin Madison - Social Systems.
  12. Barnett, William A & Kirova, Milka & Pasupathy, Meenakshi, 1995. "Estimating Policy-Invariant Deep Parameters in the Financial Sector When Risk and Growth Matter," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(4), pages 1402-29, November.
  13. Griffiths, W.E., 2001. "Bayesian Inference in the Seemingly Unrelated Regressions Models," Department of Economics - Working Papers Series 793, The University of Melbourne.
  14. Griffiths, William E. & O'Donnell, Christopher J. & Cruz, Agustina Tan, 1999. "Imposing Regularity Conditions On A System Of Cost And Factor Share Equations," Working Papers 12925, University of New England, School of Economics.
  15. Chotikapanich, D. & Griffiths, W.E. & Skeels, C.L., 2001. "Sample Size Requirements for Estimation in SUR Models," Department of Economics - Working Papers Series 794, The University of Melbourne.
  16. Koop, Gary & Osiewalski, Jacek & Steel, Mark F. J., 1997. "Bayesian efficiency analysis through individual effects: Hospital cost frontiers," Journal of Econometrics, Elsevier, vol. 76(1-2), pages 77-105.
  17. Andrew N. Kleit & Dek Terrell, 2001. "Measuring Potential Efficiency Gains From Deregulation Of Electricity Generation: A Bayesian Approach," The Review of Economics and Statistics, MIT Press, vol. 83(3), pages 523-530, August.
  18. 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.
  19. Terrell, Dek, 1996. "Incorporating Monotonicity and Concavity Conditions in Flexible Functional Forms," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(2), pages 179-94, March-Apr.
  20. Douglas Fisher & Adrian R. Fleissig & Apostolos Serletis, 2001. "An empirical comparison of flexible demand system functional forms," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(1), pages 59-80.
  21. Evans, David S & Heckman, James J, 1984. "A Test for Subadditivity of the Cost Function with an Application to the Bell System," American Economic Review, American Economic Association, vol. 74(4), pages 615-23, September.
  22. Salvanes, K.G. & Tjotta, S., 1998. "A NOte on the Importance of Testing for Regularities for Estimated Flexible Functional Forms," Norway; Department of Economics, University of Bergen 177, Department of Economics, University of Bergen.
  23. Lau, Lawrence J., 1986. "Functional forms in econometric model building," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 3, chapter 26, pages 1515-1566 Elsevier.
  24. repec:ubc:bricol:91-21 is not listed on IDEAS
  25. Chib, Siddhartha & Greenberg, Edward, 1996. "Markov Chain Monte Carlo Simulation Methods in Econometrics," Econometric Theory, Cambridge University Press, vol. 12(03), pages 409-431, August.
  26. Fleissig, Adrian R. & Kastens, Terry & Terrell, Dek, 1997. "Semi-nonparametric estimates of substitution elasticities," Economics Letters, Elsevier, vol. 54(3), pages 209-215, July.
  27. 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.
  28. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
  29. Lee C. Adkins & Dan S. Rickman & Abid Hameed, 2003. "Bayesian Estimation of Regional Production for CGE Modeling," Journal of Regional Science, Wiley Blackwell, vol. 43(4), pages 641-661.
  30. Tripathi, Gautam, 2000. "Local Semiparametric Efficiency Bounds Under Shape Restrictions," Econometric Theory, Cambridge University Press, vol. 16(05), pages 729-739, October.
  31. Barnett, William A., 2002. "Tastes and technology: curvature is not sufficient for regularity," Journal of Econometrics, Elsevier, vol. 108(1), pages 199-202, May.
  32. Ivaldi, Marc, et al, 1996. "Comparing Fourier and Translog Specifications of Multiproduct Technology: Evidence from an Incomplete Panel of French Farmers," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 649-67, Nov.-Dec..
  33. Barnett, William A. & Geweke, John & Wolfe, Michael, 1991. "Seminonparametric Bayesian estimation of the asymptotically ideal production model," Journal of Econometrics, Elsevier, vol. 49(1-2), pages 5-50.
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