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On the computation of detection error probabilities under normality assumptions

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  • Okubo, Masakatsu

Abstract

This note describes a simple method for computing detection error probabilities under log-consumption models with i.i.d. Gaussian errors. The method is applicable to a class of models widely used in the literature, including the random walk, trend-stationary, long-run risk, and idiosyncratic risk models.

Suggested Citation

  • Okubo, Masakatsu, 2018. "On the computation of detection error probabilities under normality assumptions," Economics Letters, Elsevier, vol. 171(C), pages 106-109.
    • Handle: RePEc:eee:ecolet:v:171:y:2018:i:c:p:106-109
    DOI: 10.1016/j.econlet.2018.07.014
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    References listed on IDEAS

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    1. Lars Peter Hansen & Thomas J Sargent, 2014. "Beliefs, Doubts and Learning: Valuing Macroeconomic Risk," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 10, pages 331-377, World Scientific Publishing Co. Pte. Ltd..
    2. TallariniJr., Thomas D., 2000. "Risk-sensitive real business cycles," Journal of Monetary Economics, Elsevier, vol. 45(3), pages 507-532, June.
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    4. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    5. Massimiliano De Santis, 2007. "Individual Consumption Risk and the Welfare Cost of Business Cycles," American Economic Review, American Economic Association, vol. 97(4), pages 1488-1506, September.
    6. Lars Peter Hansen & Thomas J Sargent, 2014. "Doubts or Variability?," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 7, pages 217-256, World Scientific Publishing Co. Pte. Ltd..
    7. repec:bla:jfinan:v:59:y:2004:i:4:p:1481-1509 is not listed on IDEAS
    8. Lars Peter Hansen & Thomas J Sargent, 2014. "Fragile Beliefs and the Price of Uncertainty," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 9, pages 293-330, World Scientific Publishing Co. Pte. Ltd..
    9. Lars Peter Hansen & John C. Heaton & Nan Li, 2008. "Consumption Strikes Back? Measuring Long-Run Risk," Journal of Political Economy, University of Chicago Press, vol. 116(2), pages 260-302, April.
    10. Djeutem, Edouard, 2014. "Model uncertainty and the Forward Premium Puzzle," Journal of International Money and Finance, Elsevier, vol. 46(C), pages 16-40.
    11. Lars Peter Hansen, 2007. "Beliefs, Doubts and Learning: Valuing Economic Risk," NBER Working Papers 12948, National Bureau of Economic Research, Inc.
    12. Martin Ellison & Thomas J. Sargent, 2015. "Welfare Cost of Business Cycles with Idiosyncratic Consumption Risk and a Preference for Robustness," American Economic Journal: Macroeconomics, American Economic Association, vol. 7(2), pages 40-57, April.
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    Cited by:

    1. Okubo, Masakatsu, 2023. "Model uncertainty, economic development, and welfare costs of business cycles," Journal of Macroeconomics, Elsevier, vol. 76(C).

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    More about this item

    Keywords

    Asset pricing; Detection error probability; Model misspecification; Multiplier preferences;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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