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Contribution Details

Type Working Paper
Scope Discipline-based scholarship
Title Hedging forecast combinations with an application to the random forest
Organization Unit
Authors
  • Elliot Beck
  • Damian Kozbur
  • Michael Wolf
Language
  • English
Institution Cornell University
Series Name ArXiv.org
Number 2308.15384
ISSN 2331-8422
Number of Pages 18
Date 2023
Abstract Text This papers proposes a generic, high-level methodology for generating forecast combinations that would deliver the optimal linearly combined forecast in terms of the mean-squared forecast error if one had access to two population quantities: the mean vector and the covariance matrix of the vector of individual forecast errors. We point out that this problem is identical to a mean-variance portfolio construction problem, in which portfolio weights correspond to forecast combination weights. We allow negative forecast weights and interpret such weights as hedging over and under estimation risks across estimators. This interpretation follows directly as an implication of the portfolio analogy. We demonstrate our method's improved out-of-sample performance relative to standard methods in combining tree forecasts to form weighted random forests in 14 data sets.
Official URL https://arxiv.org/abs/2308.15384
Other Identification Number merlin-id:24337
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Keywords Forecast combinations, nonlinear shrinkage, random forest