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The Nonlinear Skeletons in the Closet

Author

Listed:
  • William A. Barnett

    (University of Kansas)

  • Barry E. Jones

    (Binghamton University - SUNY)

  • Milka Kirova

    (Washington University)

  • Travis Nesmith

    (Federal Reserve Board)

  • Meenakshi Pasupathy

    (Bernard Baruch School - CUNY)

Abstract

Although nonlinearity is the rule in economic theory, nonlinearity tends to make life difficult for econometricians. While there have been many advances in nonlinear econometrics in recent years, some problems produced by nonlinearity remain 'skeletons in the closet' in empirical economic research. In this paper, we open the door to that closet and take a look at two of the biggest skeletons. For a deeper look into that closet, see the just-published book by W. A. Barnett and Jane Binner (2004), Functional Structure and Approximation in Econometrics, North Holland, Elsevier Science.

Suggested Citation

  • William A. Barnett & Barry E. Jones & Milka Kirova & Travis Nesmith & Meenakshi Pasupathy, 2004. "The Nonlinear Skeletons in the Closet," Econometrics 0405003, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpem:0405003
    Note: Type of Document - doc; pages: 45. This paper is forthcoming in Michael Belongia and Jane Binner (eds), Money, Measurement, and Computation, Palgrave.
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    1. Hinich, Melvin J. & Patterson, Douglas M., 1985. "Identification of the coefficients in a non-linear : time series of the quadratic type," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 269-288.
    2. William A. Barnett, 2004. "Tastes and Technology: Curvature Is Not Sufficient for Regularity," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 429-433, Emerald Group Publishing Limited.
    3. 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..
    4. William A. Barnett & A. Ronald Gallant & Melvin J. Hinich & Jochen A. Jungeilges & Daniel T. Kaplan, 2004. "Robustness of Nonlinearity and Chaos Tests to Measurement Error, Inference Method, and Sample Size," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 529-548, Emerald Group Publishing Limited.
    5. William Barnett & Apostolos Serletis & W. Erwin Diewert, 2005. "The Theory of Monetary Aggregation (book front matter)," Macroeconomics 0511008, University Library of Munich, Germany.
    6. William A. Barnett & A. Ronald Gallant & Melvin J. Hinich & Jochen A. Jungeilges & Daniel T. Kaplan, 2004. "A Single-Blind Controlled Competition Among Tests for Nonlinearity and Chaos," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 581-615, Emerald Group Publishing Limited.
    7. Johansen, Søren, 1995. "A Stastistical Analysis of Cointegration for I(2) Variables," Econometric Theory, Cambridge University Press, vol. 11(1), pages 25-59, February.
    8. 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.
    9. Paruolo, Paolo, 1996. "On the determination of integration indices in I(2) systems," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 313-356.
    10. 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.
    11. 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.
    12. M. D. Godfrey, 1965. "An Exploratory Study of the Bi‐Spectrum of Economic Time Series," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 14(1), pages 48-69, March.
    13. William A. Barnett & Yijun He & ., 1999. "Stabilization Policy as Bifurcation Selection: Would Keynesian Policy Work if the World Really were Keynesian?," Macroeconomics 9906008, University Library of Munich, Germany.
    14. 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.
    15. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
    16. 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.
    17. repec:cup:etheor:v:8:y:1992:i:2:p:188-202 is not listed on IDEAS
    18. 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.
    19. Thomas Mayer (ed.), 1990. "Monetary Theory," Books, Edward Elgar Publishing, number 572.
    20. Richard G. Anderson & Barry E. Jones & Travis D. Nesmith, 1996. "Monetary aggregation theory and statistical index numbers," Working Papers 1996-007, Federal Reserve Bank of St. Louis.
    21. 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.
    22. William Barnett, 2005. "Monetary Aggregation," Macroeconomics 0503017, University Library of Munich, Germany.
    23. Hong, Yongmiao, 1996. "Consistent Testing for Serial Correlation of Unknown Form," Econometrica, Econometric Society, vol. 64(4), pages 837-864, July.
    24. Granger, C. W. J., 1981. "Some properties of time series data and their use in econometric model specification," Journal of Econometrics, Elsevier, vol. 16(1), pages 121-130, May.
    25. William A. Barnett & Apostolos Serletis, 2000. "A Dispersion-Dependency Diagnostic Test for Aggregation Error: With Applications to Monetary Economics and Income Distribution," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 167-194, Emerald Group Publishing Limited.
    26. Melvin J. Hinich, 1982. "Testing For Gaussianity And Linearity Of A Stationary Time Series," Journal of Time Series Analysis, Wiley Blackwell, vol. 3(3), pages 169-176, May.
    27. Barnett, William A., 1990. "Developments in monetary aggregation theory," Journal of Policy Modeling, Elsevier, vol. 12(2), pages 205-257.
    28. 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.
    29. William A. Barnett & Edward K. Offenbacher & Paul A. Spindt, 2000. "The New Divisia Monetary Aggregates," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 360-388, Emerald Group Publishing Limited.
    30. 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.
    31. Lee, Tae-Hwy & Tse, Yiuman, 1996. "Cointegration tests with conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 73(2), pages 401-410, August.
    32. William A. Barnett, 2000. "The User Cost of Money," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 6-10, Emerald Group Publishing Limited.
    33. Fisher, Douglas & Serletis, Apostolos, 1989. "Velocity and the growth of money in the United States, 1970-1985," Journal of Macroeconomics, Elsevier, vol. 11(3), pages 323-332.
    34. 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.
    35. Barnett, William A. & He, Yijun, 2002. "Stabilization Policy As Bifurcation Selection: Would Stabilization Policy Work If The Economy Really Were Unstable?," Macroeconomic Dynamics, Cambridge University Press, vol. 6(5), pages 713-747, November.
    36. Richard A. Ashley & Douglas M. Patterson & Melvin J. Hinich, 1986. "A Diagnostic Test For Nonlinear Serial Dependence In Time Series Fitting Errors," Journal of Time Series Analysis, Wiley Blackwell, vol. 7(3), pages 165-178, May.
    37. King, Robert G. & Plosser, Charles I. & Stock, James H. & Watson, Mark W., 1991. "Stochastic Trends and Economic Fluctuations," American Economic Review, American Economic Association, vol. 81(4), pages 819-840, September.
    38. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    39. King, Robert G & Watson, Mark W, 1996. "Money, Prices, Interest Rates and the Business Cycle," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 35-53, February.
    40. William Barnett & Barry E. Jones & Travis D. Nesmith, 2008. "Divisia Second Moments: An Application of Stochastic Index Number Theory," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200803, University of Kansas, Department of Economics, revised Jul 2008.
    41. William A. Barnett & Jane Binner & W. Erwin Diewert, 2005. "Functional Structure and Approximation in Econometrics (book front matter)," Econometrics 0511006, University Library of Munich, Germany.
    42. 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.
    43. William A. Barnett & Yijun He, 2004. "New Phenomena Identified in a Stochastic Dynamic Macroeconometric Model: A Bifurcation Perspective," Computing in Economics and Finance 2004 145, Society for Computational Economics.
    44. 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.
    45. Brock, W.A. & Dechert, W.D. & LeBaron, B. & Scheinkman, J.A., 1995. "A Test for Independence Based on the Correlation Dimension," Working papers 9520, Wisconsin Madison - Social Systems.
    46. 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.
    47. Serletis, Apostolos & King, Martin, 1993. "The role of money in Canada," Journal of Macroeconomics, Elsevier, vol. 15(1), pages 91-107.
    48. 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.
    49. Rahbek, Anders & Christian Kongsted, Hans & Jorgensen, Clara, 1999. "Trend stationarity in the I(2) cointegration model," Journal of Econometrics, Elsevier, vol. 90(2), pages 265-289, June.
    50. Diewert, W. E. & Wales, T. J., 1988. "A normalized quadratic semiflexible functional form," Journal of Econometrics, Elsevier, vol. 37(3), pages 327-342, March.
    51. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
    52. Johansen, Soren, 1992. "Testing weak exogeneity and the order of cointegration in UK money demand data," Journal of Policy Modeling, Elsevier, vol. 14(3), pages 313-334, June.
    53. 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.
    54. T. Subba Rao & M. M. Gabr, 1980. "A Test For Linearity Of Stationary Time Series," Journal of Time Series Analysis, Wiley Blackwell, vol. 1(2), pages 145-158, March.
    55. Brock, William A. & Sayers, Chera L., 1988. "Is the business cycle characterized by deterministic chaos?," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 71-90, July.
    56. Barnett,William A. & Geweke,John & Shell,Karl (ed.), 1989. "Economic Complexity: Chaos, Sunspots, Bubbles, and Nonlinearity," Cambridge Books, Cambridge University Press, number 9780521355636, October.
    57. 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.
    58. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-1580, November.
    59. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    60. Friedman, Benjamin M & Kuttner, Kenneth N, 1992. "Money, Income, Prices, and Interest Rates," American Economic Review, American Economic Association, vol. 82(3), pages 472-492, June.
    61. repec:cup:macdyn:v:6:y:2002:i:5:p:713-47 is not listed on IDEAS
    62. Barnett, William A. & Jones, Barry E. & Nesmith, Travis D., 2008. "Divisia Second Moments," MPRA Paper 9111, University Library of Munich, Germany.
    63. Johansen, Søren, 1992. "A Representation of Vector Autoregressive Processes Integrated of Order 2," Econometric Theory, Cambridge University Press, vol. 8(2), pages 188-202, June.
    64. 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.
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    Cited by:

    1. William Barnett, 2006. "Is Macroeconomics a Science? Foreword to Apostolos Serletis, Money and the Economy," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200601, University of Kansas, Department of Economics.
    2. Barnett, William A., 2006. "Is Macroeconomics a Science?," MPRA Paper 415, University Library of Munich, Germany.

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    More about this item

    Keywords

    nonlinearity; curvature; regularity; cointegration; bispectrum; chaos; bifurcation;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • E37 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Forecasting and Simulation: Models and Applications
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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