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Estimation of Technical Change and Price Elasticities: A Categorical Time-varying Coefficient Approach

Author

Listed:
  • Guohua Feng
  • Jiti Gao
  • Xiaohui Zhang
Abstract
In this paper we outline new procedure for estimating technical change and price elasticities. Specifically, we propose a categorical time-varying coefficient translog cost function, where each coefficient is expressed as a nonparametric function of a categorical time variable, thereby allowing each time period to have its own set of coefficients. Our application to U.S. electricity firms reveals that compared with the traditional time trend representation of technical change that has remained a cornerstone of the productivity literature, this model offers two advantages: (1) it is capable of producing estimates of productivity growth that closely track those obtained using the Tornqvist approximation to the Divisia index; and (2) it can solve a well-known problem commonly referred to as "the problem of trending elasticities", i.e. estimated price elasticities show little temporal variation even when in fact they do.

Suggested Citation

  • Guohua Feng & Jiti Gao & Xiaohui Zhang, 2016. "Estimation of Technical Change and Price Elasticities: A Categorical Time-varying Coefficient Approach," Monash Econometrics and Business Statistics Working Papers 2/16, Monash University, Department of Econometrics and Business Statistics.
    • Handle: RePEc:msh:ebswps:2016-2
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    1. Melvyn A. Fuss, 1994. "Productivity Growth in Canadian Telecommunications," Canadian Journal of Economics, Canadian Economics Association, vol. 27(2), pages 371-392, May.
    2. QI Li & Desheng Ouyang & Jeffrey S. Racine, 2013. "Categorical semiparametric varying‐coefficient models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 28(4), pages 551-579, June.
    3. Jiti Gao & Peter C.B. Phillips, 2013. "Functional Coefficient Nonstationary Regression with Non- and Semi-Parametric Cointegration," Monash Econometrics and Business Statistics Working Papers 16/13, Monash University, Department of Econometrics and Business Statistics.
    4. Zvi Griliches, 1998. "Productivity, R&D, and the Data Constraint," NBER Chapters, in: R&D and Productivity: The Econometric Evidence, pages 347-374, National Bureau of Economic Research, Inc.
    5. Abel, Andrew B & Eberly, Janice C, 1994. "A Unified Model of Investment under Uncertainty," American Economic Review, American Economic Association, vol. 84(5), pages 1369-1384, December.
    6. Rungsuriyawiboon, Supawat & Stefanou, Spiro E., 2007. "Dynamic Efficiency Estimation: An Application to U.S. Electric Utilities," Journal of Business & Economic Statistics, American Statistical Association, vol. 25, pages 226-238, April.
    7. Barten, A. P., 1969. "Maximum likelihood estimation of a complete system of demand equations," European Economic Review, Elsevier, vol. 1(1), pages 7-73.
    8. Apostolos Serletis & Guohua Feng, 2015. "Imposing Theoretical Regularity on Flexible Functional Forms," Econometric Reviews, Taylor & Francis Journals, vol. 34(1-2), pages 198-227, February.
    9. Henderson, Daniel J. & Kumbhakar, Subal C. & Li, Qi & Parmeter, Christopher F., 2015. "Smooth coefficient estimation of a seemingly unrelated regression," Journal of Econometrics, Elsevier, vol. 189(1), pages 148-162.
    10. Orbe, Susan & Ferreira, Eva & Rodriguez-Poo, Juan, 2003. "An algorithm to estimate time-varying parameter SURE models under different types of restriction," Computational Statistics & Data Analysis, Elsevier, vol. 42(3), pages 363-383, March.
    11. Durlauf, Steven N. & Kourtellos, Andros & Minkin, Artur, 2001. "The local Solow growth model," European Economic Review, Elsevier, vol. 45(4-6), pages 928-940, May.
    12. Severin Borenstein & James Bushnell, 2015. "The US Electricity Industry After 20 Years of Restructuring," Annual Review of Economics, Annual Reviews, vol. 7(1), pages 437-463, August.
    13. Kwoka, John E., 2002. "Vertical economies in electric power: evidence on integration and its alternatives," International Journal of Industrial Organization, Elsevier, vol. 20(5), pages 653-671, May.
    14. Chen, Jia & Gao, Jiti & Li, Degui, 2012. "Semiparametric trending panel data models with cross-sectional dependence," Journal of Econometrics, Elsevier, vol. 171(1), pages 71-85.
    15. Hall, Bronwyn H. & Mairesse, Jacques, 1995. "Exploring the relationship between R&D and productivity in French manufacturing firms," Journal of Econometrics, Elsevier, vol. 65(1), pages 263-293, January.
    16. Kira R. Fabrizio & Nancy L. Rose & Catherine D. Wolfram, 2007. "Do Markets Reduce Costs? Assessing the Impact of Regulatory Restructuring on US Electric Generation Efficiency," American Economic Review, American Economic Association, vol. 97(4), pages 1250-1277, September.
    17. Charles R. Hulten & Edwin R. Dean & Michael J. Harper, 2001. "New Developments in Productivity Analysis," NBER Books, National Bureau of Economic Research, Inc, number hult01-1.
    18. Gao, Jiti, 2007. "Nonlinear time series: semiparametric and nonparametric methods," MPRA Paper 39563, University Library of Munich, Germany, revised 01 Sep 2007.
    19. Laurits R. Christensen & Dale W. Jorgenson, 1970. "U.S. Real Product And Real Factor Input, 1929–1967," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 16(1), pages 19-50, March.
    20. Farrell, Lisa & Walker, Ian, 1999. "The welfare effects of lotto: evidence from the UK," Journal of Public Economics, Elsevier, vol. 72(1), pages 99-120, April.
    21. John Haltiwanger & Russell Cooper & Laura Power, 1999. "Machine Replacement and the Business Cycle: Lumps and Bumps," American Economic Review, American Economic Association, vol. 89(4), pages 921-946, September.
    22. Giorgio E. Primiceri, 2005. "Time Varying Structural Vector Autoregressions and Monetary Policy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(3), pages 821-852.
    23. John Kwoka, 2008. "Restructuring the U.S. Electric Power Sector: A Review of Recent Studies," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 32(3), pages 165-196, May.
    24. Atkinson, Scott E & Halvorsen, Robert, 1984. "Parametric Efficiency Tests, Economies of Scale, and Input Demand in U.S. Electric Power Generation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(3), pages 647-662, October.
    25. Gerald Granderson & Finn Forsund, 2014. "Rate of return regulation and the Le Chatelier principle," Journal of Productivity Analysis, Springer, vol. 41(2), pages 263-275, April.
    26. Jushan Bai, 2009. "Panel Data Models With Interactive Fixed Effects," Econometrica, Econometric Society, vol. 77(4), pages 1229-1279, July.
    27. Baltagi, Badi H & Griffin, James M, 1988. "A General Index of Technical Change," Journal of Political Economy, University of Chicago Press, vol. 96(1), pages 20-41, February.
    28. Jeffrey M Wooldridge, 2010. "Econometric Analysis of Cross Section and Panel Data," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232588, April.
    29. Jiti Gao & Peter C.B. Phillips, 2013. "Functional Coefficient Nonstationary Regression," Cowles Foundation Discussion Papers 1911, Cowles Foundation for Research in Economics, Yale University.
    30. D. W. Jorgenson & Z. Griliches, 1967. "The Explanation of Productivity Change," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 34(3), pages 249-283.
    31. Diewert, W E & Wales, T J, 1992. "Quadratic Spline Models for Producer's Supply and Demand Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(3), pages 705-722, August.
    32. BARTEN, Anton P., 1969. "Maximum likelihood estimation of a complete system of demand equations," LIDAM Reprints CORE 34, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    33. Gal Hochman & Deepak Rajagopal & David Zilberman, 2010. "Are Biofuels the Culprit? OPEC, Food, and Fuel," American Economic Review, American Economic Association, vol. 100(2), pages 183-187, May.
    34. Feng, Guohua & Serletis, Apostolos, 2008. "Productivity trends in U.S. manufacturing: Evidence from the NQ and AIM cost functions," Journal of Econometrics, Elsevier, vol. 142(1), pages 281-311, January.
    35. Greene, William H., 1980. "On the estimation of a flexible frontier production model," Journal of Econometrics, Elsevier, vol. 13(1), pages 101-115, May.
    36. Dale W. Jorgenson, 1991. "Productivity and Economic Growth," NBER Chapters, in: Fifty Years of Economic Measurement: The Jubilee of the Conference on Research in Income and Wealth, pages 19-118, National Bureau of Economic Research, Inc.
    37. Nakamura, Shinichiro, 1990. "A Nonhomothetic Generalized Leontief Cost Function Based on Pooled Data," The Review of Economics and Statistics, MIT Press, vol. 72(4), pages 649-656, November.
    38. Jean-Jacques Laffont & Jean Tirole, 1993. "A Theory of Incentives in Procurement and Regulation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262121743, April.
    39. Li, Qi & Racine, Jeffrey S., 2010. "Smooth Varying-Coefficient Estimation And Inference For Qualitative And Quantitative Data," Econometric Theory, Cambridge University Press, vol. 26(6), pages 1607-1637, December.
    40. Kevin Fox, 1998. "Non-Parametric Estimation of Technical Progress," Journal of Productivity Analysis, Springer, vol. 10(3), pages 235-250, November.
    41. Chu, Chi-Yang & Henderson, Daniel J. & Parmeter, Christopher F., 2017. "On discrete Epanechnikov kernel functions," Computational Statistics & Data Analysis, Elsevier, vol. 116(C), pages 79-105.
    42. Charles R. Hulten, 2001. "Total Factor Productivity: A Short Biography," NBER Chapters, in: New Developments in Productivity Analysis, pages 1-54, National Bureau of Economic Research, Inc.
    43. Christensen, Laurits R & Greene, William H, 1976. "Economies of Scale in U.S. Electric Power Generation," Journal of Political Economy, University of Chicago Press, vol. 84(4), pages 655-676, August.
    44. Clifford M. Hurvich & Jeffrey S. Simonoff & Chih‐Ling Tsai, 1998. "Smoothing parameter selection in nonparametric regression using an improved Akaike information criterion," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 60(2), pages 271-293.
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    More about this item

    Keywords

    semiparametric method; categorical time-varying coefficient model; technical change and productivity;
    All these keywords.

    JEL classification:

    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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