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A Monte Carlo Investigation of the Box-Cox Model and a Nonlinear Least Squares Alternative


  • Showalter, Mark H


This paper reports a Monte Carlo study of the Box-Cox model and a nonlinear least squares alternative. Key results include the following: the transformation parameter in the Box-Cox model appears to be inconsistently estimated in the presence of conditional heteroskedasticity; the constant term in both the Box-Cox and the nonlinear least squares models is poorly estimated in small samples; conditional mean forecasts tend to underestimate their true value in the Box-Cox model when the transformation parameter is not equal to one; and conditional heteroskedasticity tends to worsen the bias in the Box-Cox predicted values. Copyright 1994 by MIT Press.

Suggested Citation

  • Showalter, Mark H, 1994. "A Monte Carlo Investigation of the Box-Cox Model and a Nonlinear Least Squares Alternative," The Review of Economics and Statistics, MIT Press, vol. 76(3), pages 560-570, August.
  • Handle: RePEc:tpr:restat:v:76:y:1994:i:3:p:560-70

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    1. repec:fth:harver:1528 is not listed on IDEAS
    2. Mera, Koichi, 1973. "II. Regional production functions and social overhead capital: An analysis of the Japanese case," Regional and Urban Economics, Elsevier, vol. 3(2), pages 157-185, May.
    3. Robert Ford & Pierre Poret, 1991. "Infrastructure and Private-Sector Productivity," OECD Economics Department Working Papers 91, OECD Publishing.
    4. Aschauer, David Alan, 1989. "Is public expenditure productive?," Journal of Monetary Economics, Elsevier, vol. 23(2), pages 177-200, March.
    5. John A. Tatom, 1991. "Public capital and private sector performance," Review, Federal Reserve Bank of St. Louis, issue May, pages 3-15.
    6. Bernstein, Jeffrey I. & Nadiri, M. Ishaq, 1990. "Product Demand, Cost Of Production, Spillovers And The Social Rate Or Return To R&D," Working Papers 90-53, C.V. Starr Center for Applied Economics, New York University.
    7. Alicia H. Munnell, 1990. "How does public infrastructure affect regional economic performance?," Conference Series ; [Proceedings], Federal Reserve Bank of Boston, vol. 34, pages 69-112.
    8. Ernst R. Berndt & Bengt Hansson, 1991. "Measuring the Contribution of Public Infrastructure Capital in Sweden," NBER Working Papers 3842, National Bureau of Economic Research, Inc.
    9. Randall W. Eberts, 1986. "Estimating the contribution of urban public infrastructure to regional growth," Working Paper 8610, Federal Reserve Bank of Cleveland.
    10. Alan J. Auerbach, 1983. "Corporate Taxation in the United States," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 14(2), pages 451-514.
    11. Ballard, Charles L & Shoven, John B & Whalley, John, 1985. "General Equilibrium Computations of the Marginal Welfare Costs of Taxes in the United States," American Economic Review, American Economic Association, vol. 75(1), pages 128-138, March.
    12. John Scott, 1984. "Firm versus Industry Variability in R&D Intensity," NBER Chapters,in: R&D, Patents, and Productivity, pages 233-248 National Bureau of Economic Research, Inc.
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    Cited by:

    1. Asplund, Marcus, 2000. "What Fraction of a Capital Investment Is Sunk Costs?," Journal of Industrial Economics, Wiley Blackwell, vol. 48(3), pages 287-304, September.
    2. Jason Abrevaya, 2002. "Computing Marginal Effects In The Box-Cox Model," Econometric Reviews, Taylor & Francis Journals, vol. 21(3), pages 383-393.
    3. Kazumitsu Nawata, 2013. "A new estimator of the Box-Cox transformation model using moment conditions," Economics Bulletin, AccessEcon, vol. 33(3), pages 2287-2297.
    4. James Bugden, 2013. "Renovations and the Repeat-Sales House Price Index," Working Papers 2013.08, School of Economics, La Trobe University.
    5. Gormley, Fionnuala M. & Meade, Nigel, 2007. "The utility of cash flow forecasts in the management of corporate cash balances," European Journal of Operational Research, Elsevier, vol. 182(2), pages 923-935, October.
    6. Nawata, K. & Kawabuchi, K., 2013. "Evaluation of the DPC-based inclusive payment system in Japan for cataract operations by a new model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 93(C), pages 76-85.
    7. Manning, Willard G., 1998. "The logged dependent variable, heteroscedasticity, and the retransformation problem," Journal of Health Economics, Elsevier, vol. 17(3), pages 283-295, June.
    8. Kazumitsu Nawata, 2015. "Robust estimation based on the third-moment restriction of the error terms for the Box-Cox transformation model: An estimator consistent under heteroscedasticity," Economics Bulletin, AccessEcon, vol. 35(2), pages 1056-1064.

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