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Statistical decision functions with judgment

Author

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  • Manganelli, Simone

Abstract

A decision maker tests whether the gradient of the loss function evaluated at a judgmental decision is zero, for a given level of significance. If the test does not reject, the decision maker selects the judgmental decision. If the test rejects, the decision maker chooses the action whose gradient is at the boundary of the rejection region. The test is admissible and asymptotically most powerful. The level of significance reflects the decision maker's attitude toward uncertainty. The decision rule is applied to a problem of asset allocation.

Suggested Citation

  • Manganelli, Simone, 2025. "Statistical decision functions with judgment," Journal of Economic Theory, Elsevier, vol. 223(C).
    • Handle: RePEc:eee:jetheo:v:223:y:2025:i:c:s0022053124001467
    DOI: 10.1016/j.jet.2024.105940
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    Keywords

    Statistical decision theory; Hypothesis testing; Confidence intervals; Ambiguity;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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