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The Axiomatic Approach to Risk Measures for Capital Determination

Citations

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Cited by:

  1. Righi, Marcelo Brutti & Müller, Fernanda Maria & Moresco, Marlon Ruoso, 2020. "On a robust risk measurement approach for capital determination errors minimization," Insurance: Mathematics and Economics, Elsevier, vol. 95(C), pages 199-211.
  2. George Tzagkarakis & Frantz Maurer, 2020. "An energy-based measure for long-run horizon risk quantification," Annals of Operations Research, Springer, vol. 289(2), pages 363-390, June.
  3. Marcelo Brutti Righi, 2019. "A composition between risk and deviation measures," Annals of Operations Research, Springer, vol. 282(1), pages 299-313, November.
  4. Fernanda Maria Müller & Thalles Weber Gössling & Samuel Solgon Santos & Marcelo Brutti Righi, 2024. "A comparison of Range Value at Risk (RVaR) forecasting models," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 43(3), pages 509-543, April.
  5. George Tzagkarakis & Frantz Maurer, 2023. "Horizon-Adaptive Extreme Risk Quantification for Cryptocurrency Assets," Computational Economics, Springer;Society for Computational Economics, vol. 62(3), pages 1251-1286, October.
  6. Furman, Edward & Wang, Ruodu & Zitikis, Ričardas, 2017. "Gini-type measures of risk and variability: Gini shortfall, capital allocations, and heavy-tailed risks," Journal of Banking & Finance, Elsevier, vol. 83(C), pages 70-84.
  7. Bettels, Sören & Kim, Sojung & Weber, Stefan, 2024. "Multinomial backtesting of distortion risk measures," Insurance: Mathematics and Economics, Elsevier, vol. 119(C), pages 130-145.
  8. Fangda Liu & Ruodu Wang, 2021. "A Theory for Measures of Tail Risk," Mathematics of Operations Research, INFORMS, vol. 46(3), pages 1109-1128, August.
  9. Vishwajit Hegde & Arvind Satish Menon & L.A. Prashanth & Krishna Jagannathan, 2025. "Online Estimation and Optimization of Utility-Based Shortfall Risk," Mathematics of Operations Research, INFORMS, vol. 50(4), pages 2470-2501, November.
  10. Felix-Benedikt Liebrich, 2024. "Risk sharing under heterogeneous beliefs without convexity," Finance and Stochastics, Springer, vol. 28(4), pages 999-1033, October.
  11. Xue Dong He & Xianhua Peng, 2017. "Surplus-Invariant, Law-Invariant, and Conic Acceptance Sets Must be the Sets Induced by Value-at-Risk," Papers 1707.05596, arXiv.org, revised Jan 2018.
  12. Yuval Heller & Amnon Schreiber, 2020. "Short-Term Investments and Indices of Risk," Papers 2005.06576, arXiv.org.
  13. Mihaela-Adriana Nistor & Ionel Popescu, 2026. "A property of log-concave and weakly-symmetric distributions for two step approximations of random variables," Papers 2603.12767, arXiv.org.
  14. Rafael Frongillo & Ian A. Kash, 2015. "Elicitation Complexity of Statistical Properties," Papers 1506.07212, arXiv.org, revised Aug 2020.
  15. Luitgard Anna Maria Veraart & Yuliang Zhang, 2026. "Post-trade Netting and Contagion," Operations Research, INFORMS, vol. 74(2), pages 667-681, March.
  16. Righi, Marcelo Brutti & Müller, Fernanda Maria & Moresco, Marlon Ruoso, 2025. "A risk measurement approach from risk-averse stochastic optimization of score functions," Insurance: Mathematics and Economics, Elsevier, vol. 120(C), pages 42-50.
  17. Marcelo Brutti Righi, 2018. "A theory for combinations of risk measures," Papers 1807.01977, arXiv.org, revised May 2023.
  18. Gilles Boevi Koumou & Georges Dionne, 2022. "Coherent Diversification Measures in Portfolio Theory: An Axiomatic Foundation," Risks, MDPI, vol. 10(11), pages 1-19, October.
  19. Cosimo Munari & Stefan Weber & Lutz Wilhelmy, 2023. "Capital requirements and claims recovery: A new perspective on solvency regulation," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 90(2), pages 329-380, June.
  20. Zhaolin Hu & Dali Zhang, 2018. "Utility‐based shortfall risk: Efficient computations via Monte Carlo," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(5), pages 378-392, August.
  21. Tobias Fissler & Jana Hlavinov'a & Birgit Rudloff, 2019. "Elicitability and Identifiability of Systemic Risk Measures," Papers 1907.01306, arXiv.org, revised Oct 2019.
  22. Heller, Yuval & Schreiber, Amnon, 2020. "Short-term investments and indices of risk," Theoretical Economics, Econometric Society, vol. 15(3), July.
  23. Yan, Jun, 2015. "Deviations of convex and coherent entropic risk measures," Statistics & Probability Letters, Elsevier, vol. 100(C), pages 56-66.
  24. Wei Wang & Huifu Xu & Tiejun Ma, 2020. "Quantitative Statistical Robustness for Tail-Dependent Law Invariant Risk Measures," Papers 2006.15491, arXiv.org.
  25. Ludger Overbeck & Florian Schindler, 2021. "Scalar systemic risk measures and Aumann-Shapley allocations," Papers 2112.06534, arXiv.org, revised Jul 2022.
  26. José Garrido & Ramin Okhrati, 2018. "Desirable Portfolios in Fixed Income Markets: Application to Credit Risk Premiums," Risks, MDPI, vol. 6(1), pages 1-21, March.
  27. Martin Herdegen & Nazem Khan, 2022. "$\rho$-arbitrage and $\rho$-consistent pricing for star-shaped risk measures," Papers 2202.07610, arXiv.org, revised May 2024.
  28. Weber, Stefan, 2018. "Solvency II, or how to sweep the downside risk under the carpet," Insurance: Mathematics and Economics, Elsevier, vol. 82(C), pages 191-200.
  29. Soren Bettels & Sojung Kim & Stefan Weber, 2022. "Multinomial Backtesting of Distortion Risk Measures," Papers 2201.06319, arXiv.org, revised Aug 2024.
  30. Gregor Svindland & Alexander Vo{ss}, 2023. "Decision-Making Frameworks for Network Resilience -- Managing and Mitigating Systemic (Cyber) Risk," Papers 2312.13884, arXiv.org, revised Oct 2024.
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