A Toolkit for Robust Risk Assessment Using F-Divergences

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Thomas Kruse
  • Judith C. Schneider
  • Nikolaus Schweizer

Externe Organisationen

  • Justus-Liebig-Universität Gießen
  • Leuphana Universität Lüneburg
  • Westfälische Wilhelms-Universität Münster (WWU)
  • Tilburg University
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)6529-6552
Seitenumfang24
FachzeitschriftManagement science
Jahrgang67
Ausgabenummer10
Frühes Online-Datum18 März 2021
PublikationsstatusVeröffentlicht - Okt. 2021
Extern publiziertJa

Abstract

This paper assembles a toolkit for the assessment of model risk when model uncertainty sets are defined in terms of an F-divergence ball around a reference model. We propose a new family of F-divergences that are easy to implement and flexible enough to imply convincing uncertainty sets for broad classes of reference models. We use our theoretical results to construct concrete examples of divergences that allow for significant amounts of uncertainty about lognormal or heavy-tailed Weibull reference models without implying that the worst case is necessarily infinitely bad. We implement our tools in an open-source software package and apply them to three risk management problems from operations management, insurance, and finance.

ASJC Scopus Sachgebiete

Zitieren

A Toolkit for Robust Risk Assessment Using F-Divergences. / Kruse, Thomas; Schneider, Judith C.; Schweizer, Nikolaus.
in: Management science, Jahrgang 67, Nr. 10, 10.2021, S. 6529-6552.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Kruse, T, Schneider, JC & Schweizer, N 2021, 'A Toolkit for Robust Risk Assessment Using F-Divergences', Management science, Jg. 67, Nr. 10, S. 6529-6552. https://doi.org/10.1287/mnsc.2020.3822
Kruse, T., Schneider, J. C., & Schweizer, N. (2021). A Toolkit for Robust Risk Assessment Using F-Divergences. Management science, 67(10), 6529-6552. https://doi.org/10.1287/mnsc.2020.3822
Kruse T, Schneider JC, Schweizer N. A Toolkit for Robust Risk Assessment Using F-Divergences. Management science. 2021 Okt;67(10):6529-6552. Epub 2021 Mär 18. doi: 10.1287/mnsc.2020.3822
Kruse, Thomas ; Schneider, Judith C. ; Schweizer, Nikolaus. / A Toolkit for Robust Risk Assessment Using F-Divergences. in: Management science. 2021 ; Jahrgang 67, Nr. 10. S. 6529-6552.
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