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Optimal reconciliation with immutable forecasts

Author

Listed:
  • Bohan Zhang
  • Yanfei Kang
  • Anastasios Panagiotelis
  • Feng Li
Abstract
The practical importance of coherent forecasts in hierarchical forecasting has inspired many studies on forecast reconciliation. Under this approach, so-called base forecasts are produced for every series in the hierarchy and are subsequently adjusted to be coherent in a second reconciliation step. Reconciliation methods have been shown to improve forecast accuracy, but will, in general, adjust the base forecast of every series. However, in an operational context, it is sometimes necessary or beneficial to keep forecasts of some variables unchanged after forecast reconciliation. In this paper, we formulate reconciliation methodology that keeps forecasts of a pre-specified subset of variables unchanged or "immutable". In contrast to existing approaches, these immutable forecasts need not all come from the same level of a hierarchy, and our method can also be applied to grouped hierarchies. We prove that our approach preserves unbiasedness in base forecasts. Our method can also account for correlations between base forecasting errors and ensure non-negativity of forecasts. We also perform empirical experiments, including an application to sales of a large scale online retailer, to assess the impacts of our proposed methodology.

Suggested Citation

  • Bohan Zhang & Yanfei Kang & Anastasios Panagiotelis & Feng Li, 2022. "Optimal reconciliation with immutable forecasts," Papers 2204.09231, arXiv.org.
    • Handle: RePEc:arx:papers:2204.09231
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    References listed on IDEAS

    as
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    Cited by:

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    2. Zabihinia Gerdroodbari, Yasin & Khorasany, Mohsen & Razzaghi, Reza & Heidari, Rahmat, 2024. "Management of prosumers using dynamic export limits and shared Community Energy Storage," Applied Energy, Elsevier, vol. 355(C).

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