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Maximum likelihood in the frequency domain: a time to build example

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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 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.

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  • Lawrence J. Christiano & Robert J. Vigfusson, 1999. "Maximum likelihood in the frequency domain: a time to build example," Working Paper Series WP-99-4, Federal Reserve Bank of Chicago.
    • Handle: RePEc:fip:fedhwp:wp-99-4
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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, 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.

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    More about this item

    Keywords

    Business cycles; Investments;

    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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