Optimal Prediction Under Asymmetric Loss / Peter F. Christoffersen, Francis X. Diebold.
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Item type | Home library | Collection | Call number | Status | Date due | Barcode | Item holds | |
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Working Paper | Biblioteca Digital | Colección NBER | nber t0167 (Browse shelf(Opens below)) | Not For Loan |
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October 1994.
Prediction problems involving asymmetric loss functions arise routinely in many fields, yet the theory of optimal prediction under asymmetric loss is not well developed. We study the optimal prediction problem under general loss structures and characterize the optimal predictor. We compute the optimal predictor analytically in two leading cases. Analytic solutions for the optimal predictor are not available in more complicated cases, so we develop numerical procedures for computing it. We illustrate the results by forecasting the GARCH(1,1) process which, although white noise, is non-trivially forecastable under asymmetric loss.
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