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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. 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..
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    4. 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..
    5. 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.
    6. 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..
    7. Lars Peter Hansen, 2007. "Beliefs, Doubts and Learning: Valuing Economic Risk," NBER Working Papers 12948, National Bureau of Economic Research, Inc.
    8. TallariniJr., Thomas D., 2000. "Risk-sensitive real business cycles," Journal of Monetary Economics, Elsevier, vol. 45(3), pages 507-532, June.
    9. 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.
    10. Ravi Bansal & Amir Yaron, 2004. "Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles," Journal of Finance, American Finance Association, vol. 59(4), pages 1481-1509, August.
    11. Djeutem, Edouard, 2014. "Model uncertainty and the Forward Premium Puzzle," Journal of International Money and Finance, Elsevier, vol. 46(C), pages 16-40.
    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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