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Maximum Likelihood in the Frequency Domain: A Time to Build Example

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  • Lawrence J. Christiano
  • Robert J. Vigfusson

Abstract

A well known result is that the Gaussian log-likelihood can be expressed as the sum over different frequency components. This implies that the likelihood ratio statistic has a similar linear decomposition. We exploit these observations to devise diagnostic methods that are useful for interpreting maximum likelihood parameter estimates and likelihood ratio tests. We apply the methods to the estimation and testing of two real business cycle models. The standard real business cycle model is rejected in favor of an alternative in which capital investment requires a planning period

Suggested Citation

  • Lawrence J. Christiano & Robert J. Vigfusson, 1999. "Maximum Likelihood in the Frequency Domain: A Time to Build Example," NBER Working Papers 7027, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:7027
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    1. Lars Peter Hansen & Thomas J. Sargent, 1980. "Methods for estimating continuous time Rational Expectations models from discrete time data," Staff Report 59, Federal Reserve Bank of Minneapolis.
    2. Watson, Mark W, 1993. "Measures of Fit for Calibrated Models," Journal of Political Economy, University of Chicago Press, vol. 101(6), pages 1011-1041, December.
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    4. Rouwenhorst, K. Geert, 1991. "Time to build and aggregate fluctuations : A reconsideration," Journal of Monetary Economics, Elsevier, vol. 27(2), pages 241-254, April.
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    6. Hansen, Lars Peter & Sargent, Thomas J., 1980. "Formulating and estimating dynamic linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 7-46, May.
    7. Christiano, Lawrence J & Eichenbaum, Martin, 1992. "Current Real-Business-Cycle Theories and Aggregate Labor-Market Fluctuations," American Economic Review, American Economic Association, vol. 82(3), pages 430-450, June.
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    Cited by:

    1. Lars E.O. Svensson & Michael Woodford, 2004. "Implementing Optimal Policy through Inflation-Forecast Targeting," NBER Chapters,in: The Inflation-Targeting Debate, pages 19-92 National Bureau of Economic Research, Inc.
    2. Michael Reiter & Ulrich Woitek, 1999. "Are There Classical Business Cycles?," Working Papers 1999_05, Business School - Economics, University of Glasgow.
    3. Lawrence J. Christiano & Michele Boldrin & Jonas D. M. Fisher, 2001. "Habit Persistence, Asset Returns, and the Business Cycle," American Economic Review, American Economic Association, vol. 91(1), pages 149-166, March.
    4. Patrick Francois & Huw Lloyd-Ellis, 2004. "Investment Cycles," Macroeconomics 0405005, University Library of Munich, Germany, revised 05 May 2004.
    5. Lars Jonung, 2005. "Proceedings of the 2004 first annual DG ECFIN research conference on “Business Cycles and Growth in Europeâ€," European Economy - Economic Papers 2008 - 2015 227, Directorate General Economic and Financial Affairs (DG ECFIN), European Commission.
    6. Yong-gook Jung, 2013. "A new strategy to estimate time-to-build completion rates," Economics Bulletin, AccessEcon, vol. 33(2), pages 1073-1081.

    More about this item

    JEL classification:

    • E2 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment
    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity

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