The Nonlinear Skeletons in the Closet
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.Download Info
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Paper provided by EconWPA in its series Econometrics with number 0405003.Length: 45 pages
Date of creation: 27 May 2004
Date of revision:
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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Web page: http://128.118.178.162
Related research
Keywords: nonlinearity; curvature; regularity; cointegration; bispectrum; chaos; bifurcation;Other versions of this item:
- 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.
- 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
- 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
This paper has been announced in the following NEP Reports:
- NEP-ALL-2004-06-02 (All new papers)
- NEP-ECM-2004-06-09 (Econometrics)
- NEP-HPE-2004-06-02 (History & Philosophy of Economics)
References
References listed on IDEASPlease report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- William A. Barnett & Yijun He & ., 1999.
"Stabilization Policy as Bifurcation Selection: Would Keynesian Policy Work if the World Really were Keynesian?,"
Macroeconomics
9906008, EconWPA.
- William Barnett & Yijun He, 2012. "Stabilization Policy as Bifurcation Selection: Would Keynesian Policy Work if the World Really Were Keynesian?," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201228, University of Kansas, Department of Economics, revised Sep 2012.
- Barnett, William A & Hahm, Jeong Ho, 1994. "Financial-Firm Production of Monetary Services: A Generalized Symmetric Barnett Variable-Profit-Function Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(1), pages 33-46, January.
- Engle, Robert F & Granger, Clive W J, 1987. "Co-integration and Error Correction: Representation, Estimation, and Testing," Econometrica, Econometric Society, vol. 55(2), pages 251-76, March.
- Barnett, William A. & Ronald Gallant, A. & Hinich, Melvin J. & Jungeilges, Jochen A. & Kaplan, Daniel T. & Jensen, Mark J., 1995. "Robustness of nonlinearity and chaos tests to measurement error, inference method, and sample size," Journal of Economic Behavior & Organization, Elsevier, vol. 27(2), pages 301-320, July.
- 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.
- Robert G. King & Mark W. Watson, 1995. "Money, prices, interest rates and the business cycle," Working Paper Series, Macroeconomic Issues 95-10, Federal Reserve Bank of Chicago.
- 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.
- William Barnett & Apostolos Serletis & W. Erwin Diewert, 2005. "The Theory of Monetary Aggregation (book front matter)," Macroeconomics 0511008, EconWPA.
- William A. Barnett & Jane Binner & W. Erwin Diewert, 2005. "Functional Structure and Approximation in Econometrics (book front matter)," Econometrics 0511006, EconWPA.
- Barnett, William A. & Lee, Yul W. & Wolfe, Michael, 1987. "The global properties of the two minflex Laurent flexible functional forms," Journal of Econometrics, Elsevier, vol. 36(3), pages 281-298, November.
- repec:fip:fedlpr:y:1994:i:mar:p:73-109 is not listed on IDEAS
- 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.
- Belongia, Michael T, 1996. "Measurement Matters: Recent Results from Monetary Economics Reexamined," Journal of Political Economy, University of Chicago Press, vol. 104(5), pages 1065-83, October.
- repec:att:wimass:9520 is not listed on IDEAS
- William A. Barnett & A. Ronald Gallant & Melvin J. Hinich & Jochen A. Jungeilges & Daniel T. Kaplan & Mark J. Jensen, 1996.
"A Single-Blind Controlled Competition among Tests for Nonlinearity and Chaos,"
Econometrics
9602005, EconWPA, revised 20 Sep 1996.
- Barnett, William A. & Gallant, A. Ronald & Hinich, Melvin J. & Jungeilges, Jochen A. & Kaplan, Daniel T. & Jensen, Mark J., 1997. "A single-blind controlled competition among tests for nonlinearity and chaos," Journal of Econometrics, Elsevier, vol. 82(1), pages 157-192.
- William Barnett & A. Ronald Gallant & Melvin J. Hinich & Jochen A. Jungeilges & Daniel T. Kaplan & Mark J. Jensen, 2012. "A Single-Blind Controlled Competition Among Tests For Nonlinearity And Chaos," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201219, University of Kansas, Department of Economics, revised Sep 2012.
- Johansen, Søren, 1995.
"A Stastistical Analysis of Cointegration for I(2) Variables,"
Econometric Theory,
Cambridge University Press, vol. 11(01), pages 25-59, February.
- Johansen, S., 1991. "A Statistical Analsysis of Cointegration for I(2) Variables," Papers 77, Helsinki - Department of Economics.
- Paruolo, Paolo, 1996. "On the determination of integration indices in I(2) systems," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 313-356.
- Serletis, Apostolos & King, Martin, 1993. "The role of money in Canada," Journal of Macroeconomics, Elsevier, vol. 15(1), pages 91-107.
- William Barnett & Meenakshi Pasupathy, 2003.
"Regularity of the Generalized Quadratic Production Model: A Counterexample,"
Econometric Reviews,
Taylor and Francis Journals, vol. 22(2), pages 135-154.
- 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.
- William A. Barnett & Meenakshi Pasupathy, 2001. "Regularity Of The Generalized Quadratic Production Model: A Counterexample," Econometrics 0112001, EconWPA.
- Caves, Douglas W & Christensen, Laurits R, 1980. "Global Properties of Flexible Functional Forms," American Economic Review, American Economic Association, vol. 70(3), pages 422-32, June.
- Robert G. King & Charles I. Plosser & James H. Stock & Mark W. Watson, 1991.
"Stochastic trends and economic fluctuations,"
Working Paper Series, Macroeconomic Issues
91-4, Federal Reserve Bank of Chicago.
- 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 819-40, September.
- Robert G. King & Charles I. Plosser & James H. Stock & Mark W. Watson, 1992. "Stochastic Trends and Economic Fluctuations," NBER Working Papers 2229, National Bureau of Economic Research, Inc.
- 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 387-97, April.
- Michael T. Belongia & James A. Chalfant, 1986. "The changing empirical definition of money: some estimates from a model of the demand for money substitutes," Working Papers 1986-006, Federal Reserve Bank of St. Louis.
- Barnett, William A. & Serletis, Apostolos, 1990. "A dispersion-dependency diagnostic test for aggregation error : With applications to monetary economics and income distribution," Journal of Econometrics, Elsevier, vol. 43(1-2), pages 5-34.
- Clara Jørgensen & Hans Christian Kongsted & Anders Rahbek, 1996.
"Trend-Stationarity in the I(2) Cointegration Model,"
Discussion Papers
96-12, University of Copenhagen. Department of Economics.
- 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.
- Diewert, W. E. & Wales, T. J., 1988. "A normalized quadratic semiflexible functional form," Journal of Econometrics, Elsevier, vol. 37(3), pages 327-342, March.
- William A. Barnett & Melvin Hinich & Piyu Yue, 1989. "Monitoring monetary aggregates under risk aversion," Proceedings, Federal Reserve Bank of St. Louis, pages 189-245.
- Diewert, W.E., 1995. "On the Stochastic Approach to Index Numbers," UBC Departmental Archives 95-31, UBC Department of Economics.
- William Barnett, 2005.
"Monetary Aggregation,"
Macroeconomics
0503017, EconWPA.
- William Barnett, 2005. "Monetary Aggregation," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200510, University of Kansas, Department of Economics, revised Mar 2005.
- W. Erwin Diewert & T.J. Wales, 1989.
"Flexible Functional Forms and Global Curvature Conditions,"
NBER Technical Working Papers
0040, National Bureau of Economic Research, Inc.
- Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
- Barnett, William A, 1997.
"Which Road Leads to Stable Money Demand?,"
Economic Journal,
Royal Economic Society, vol. 107(443), pages 1171-85, July.
- William A. Barnett, 1996. "Which Road Leads to Stable Money Demand?," Macroeconomics 9611001, EconWPA.
- repec:cup:etheor:v:8:y:1992:i:2:p:188-202 is not listed on IDEAS
- Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
- Diewert, W.E. & Wales, T.J., 1991.
"Flexible Functional Forms and Tests of Homogeneous Separability,"
UBC Departmental Archives
91-12, UBC Department of Economics.
- 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.
- Richard G. Anderson & Barry Jones & Travis Nesmith, 1996. "Monetary aggregation theory and statistical index numbers," Working Papers 1996-007, Federal Reserve Bank of St. Louis.
- Johansen, S., 1991.
"Testing Weak Exogeneity and the Order of Cointegration in UK Money Demand Data,"
Papers
78, Helsinki - Department of Economics.
- 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.
- Hong, Yongmiao, 1996. "Consistent Testing for Serial Correlation of Unknown Form," Econometrica, Econometric Society, vol. 64(4), pages 837-64, July.
- Barnett, William A., 1980. "Economic monetary aggregates an application of index number and aggregation theory," Journal of Econometrics, Elsevier, vol. 14(1), pages 11-48, September.
- 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.
- 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.
- 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 479-94, August.
- Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-80, November.
- William A. Barnett, 1990.
"Developments in monetary aggregation theory,"
Proceedings,
Federal Reserve Bank of Cleveland, pages 205-263.
- Barnett, William A., 1990. "Developments in monetary aggregation theory," Journal of Policy Modeling, Elsevier, vol. 12(2), pages 205-257.
- Barnett, William A & Lee, Yul W, 1985. "The Global Properties of the Miniflex Laurent, Generalized Leontief, and Translog Flexible Functional Forms," Econometrica, Econometric Society, vol. 53(6), pages 1421-37, November.
- Barnett, William A., 2002. "Tastes and technology: curvature is not sufficient for regularity," Journal of Econometrics, Elsevier, vol. 108(1), pages 199-202, May.
- Barnett, William A & Offenbacher, Edward K & Spindt, Paul A, 1984. "The New Divisia Monetary Aggregates," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 1049-85, December.
- 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.
- Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
- Friedman, Benjamin M & Kuttner, Kenneth N, 1992. "Money, Income, Prices, and Interest Rates," American Economic Review, American Economic Association, vol. 82(3), pages 472-92, June.
- repec:cup:macdyn:v:6:y:2002:i:5:p:713-47 is not listed on IDEAS
- Lee, Tae-Hwy & Tse, Yiuman, 1996. "Cointegration tests with conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 73(2), pages 401-410, August.
- Barnett, William A & Fisher, Douglas & Serletis, Apostolos, 1992. "Consumer Theory and the Demand for Money," Journal of Economic Literature, American Economic Association, vol. 30(4), pages 2086-2119, December.
- 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.
- William A. Barnett & Milka Kirova & Meenakshi Pasupathy, 1994. "Estimating policy-invariant deep parameters in the financial sector when risk and growth matter," Proceedings, Federal Reserve Bank of Cleveland, pages 1402-1440.
- 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.
- Hancock, Diana, 1985. "The Financial Firm: Production with Monetary and Nonmonetary Goods," Journal of Political Economy, University of Chicago Press, vol. 93(5), pages 859-80, October.
- Barnett, William A., 1978. "The user cost of money," Economics Letters, Elsevier, vol. 1(2), pages 145-149.
- Barnett, William A. & Jones, Barry E. & Nesmith, Travis D., 2008. "Divisia Second Moments," MPRA Paper 9111, University Library of Munich, Germany.
- 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(05), pages 713-747, November.
- Johansen, Søren, 1992. "A Representation of Vector Autoregressive Processes Integrated of Order 2," Econometric Theory, Cambridge University Press, vol. 8(02), pages 188-202, June.
- Hansen, Lars Peter & Singleton, Kenneth J, 1982. "Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 50(5), pages 1269-86, September.
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- Barnett, William A., 2006. "Is Macroeconomics a Science?," MPRA Paper 415, University Library of Munich, Germany.
- 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.
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