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On optimal portfolio diversification with respect to extreme risks

Citations

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Cited by:

  1. John H. J. Einmahl & Fan Yang & Chen Zhou, 2021. "Testing the Multivariate Regular Variation Model," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 39(4), pages 907-919, October.
  2. Mainik Georg & Rüschendorf Ludger, 2012. "Ordering of multivariate risk models with respect to extreme portfolio losses," Statistics & Risk Modeling, De Gruyter, vol. 29(1), pages 73-106, March.
  3. Mainik, Georg & Mitov, Georgi & Rüschendorf, Ludger, 2015. "Portfolio optimization for heavy-tailed assets: Extreme Risk Index vs. Markowitz," Journal of Empirical Finance, Elsevier, vol. 32(C), pages 115-134.
  4. Embrechts, Paul & Puccetti, Giovanni & Rüschendorf, Ludger, 2013. "Model uncertainty and VaR aggregation," Journal of Banking & Finance, Elsevier, vol. 37(8), pages 2750-2764.
  5. Georg Mainik & Ludger Ruschendorf, 2010. "Ordering of multivariate probability distributions with respect to extreme portfolio losses," Papers 1010.5171, arXiv.org.
  6. Oliver Kley & Claudia Kluppelberg & Gesine Reinert, 2014. "Risk in a large claims insurance market with bipartite graph structure," Papers 1410.8671, arXiv.org, revised Nov 2015.
  7. Chen, Yongfei & Wei, Yu & Bai, Lan & Zhang, Jiahao & Wang, Zhuo, 2023. "Connectedness and hedging effects among China's nonferrous metal, crude oil and green bond markets: An extreme perspective," Finance Research Letters, Elsevier, vol. 58(PA).
  8. Kley, Oliver & Klüppelberg, Claudia & Paterlini, Sandra, 2020. "Modelling extremal dependence for operational risk by a bipartite graph," Journal of Banking & Finance, Elsevier, vol. 117(C).
  9. Fan Yang & Yi Zhang, 2023. "Asymptotics of Sum of Heavy-tailed Risks with Copulas," Methodology and Computing in Applied Probability, Springer, vol. 25(4), pages 1-23, December.
  10. Tong, Bin & Wu, Chongfeng & Xu, Weidong, 2012. "Risk concentration of aggregated dependent risks: The second-order properties," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 139-149.
  11. Sayyed Faraz Mohseni & Hamid R. Arian & Jean-Franc{c}ois B'egin, 2024. "The lexical ratio: A new perspective on portfolio diversification," Papers 2411.06080, arXiv.org.
  12. Peter Tankov, 2014. "Tails of weakly dependent random vectors," Papers 1402.4683, arXiv.org, revised Jan 2016.
  13. Shaoying Chen & Yang Yang & Zhimin Zhang, 2024. "Asymptotics for credit portfolio losses due to defaults in a multi-sector model," Annals of Operations Research, Springer, vol. 337(1), pages 23-44, June.
  14. Olusegun Fadare & Isaac Omorogbe, 2025. "Armed Conflict and Livestock Species Choices in Northern Nigeria: Evidence From Panel Data Analysis," Journal of International Development, John Wiley & Sons, Ltd., vol. 37(5), pages 1116-1126, July.
  15. Oliver Kley & Claudia Klüppelberg & Gesine Reinert, 2016. "Risk in a Large Claims Insurance Market with Bipartite Graph Structure," Operations Research, INFORMS, vol. 64(5), pages 1159-1176, October.
  16. Xia Han & Liyuan Lin & Hao Wang & Ruodu Wang, 2024. "Diversification quotient based on expectiles," Papers 2411.14646, arXiv.org, revised Nov 2024.
  17. Kim, Moosup & Lee, Sangyeol, 2025. "Maximum likelihood estimation of elliptical tail," Journal of Multivariate Analysis, Elsevier, vol. 205(C).
  18. Shi, Xiaojun & Tang, Qihe & Yuan, Zhongyi, 2017. "A limit distribution of credit portfolio losses with low default probabilities," Insurance: Mathematics and Economics, Elsevier, vol. 73(C), pages 156-167.
  19. Fan Yang & Yi Zhang, 2024. "Asymptotics of Sum of Heavy-tailed Risks with Copulas," Papers 2411.09657, arXiv.org.
  20. Anand Deo & Karthyek Murthy, 2025. "The Scaling Behaviors in Achieving High Reliability via Chance-Constrained Optimization," Papers 2504.07728, arXiv.org.
  21. Durante Fabrizio & Puccetti Giovanni & Scherer Matthias, 2015. "A Journey from Statistics and Probability to Risk Theory An interview with Ludger Rüschendorf," Dependence Modeling, De Gruyter, vol. 3(1), pages 1-14, October.
  22. Georg Mainik & Georgi Mitov & Ludger Ruschendorf, 2015. "Portfolio optimization for heavy-tailed assets: Extreme Risk Index vs. Markowitz," Papers 1505.04045, arXiv.org.
  23. Claudia Kluppelberg & Miriam Isabel Seifert, 2016. "Conditional loss probabilities for systems of economic agents sharing light-tailed claims with analysis of portfolio diversification benefits," Papers 1612.07132, arXiv.org.
  24. Chen, Yuyu & Embrechts, Paul & Wang, Ruodu, 2025. "Risk exchange under infinite-mean Pareto models," Insurance: Mathematics and Economics, Elsevier, vol. 124(C).
  25. Konstantinides, Dimitrios G. & Li, Jinzhu, 2016. "Asymptotic ruin probabilities for a multidimensional renewal risk model with multivariate regularly varying claims," Insurance: Mathematics and Economics, Elsevier, vol. 69(C), pages 38-44.
  26. Anand Deo & Karthyek Murthy, 2020. "Optimizing tail risks using an importance sampling based extrapolation for heavy-tailed objectives," Papers 2008.09818, arXiv.org.
  27. Li, Jinzhu, 2016. "Uniform asymptotics for a multi-dimensional time-dependent risk model with multivariate regularly varying claims and stochastic return," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 195-204.
  28. Xia Han & Liyuan Lin & Ruodu Wang, 2023. "Diversification quotients based on VaR and ES," Papers 2301.03517, arXiv.org, revised May 2023.
  29. Xia Han & Liyuan Lin & Ruodu Wang, 2022. "Diversification quotients: Quantifying diversification via risk measures," Papers 2206.13679, arXiv.org, revised Jul 2024.
  30. Claudia Klüppelberg & Miriam Isabel Seifert, 2019. "Financial risk measures for a network of individual agents holding portfolios of light-tailed objects," Finance and Stochastics, Springer, vol. 23(4), pages 795-826, October.
  31. Han, Xia & Lin, Liyuan & Wang, Ruodu, 2023. "Diversification quotients based on VaR and ES," Insurance: Mathematics and Economics, Elsevier, vol. 113(C), pages 185-197.
  32. Cui, Hengxin & Tan, Ken Seng & Yang, Fan & Zhou, Chen, 2022. "Asymptotic analysis of portfolio diversification," Insurance: Mathematics and Economics, Elsevier, vol. 106(C), pages 302-325.
  33. Moosup Kim & Sangyeol Lee, 2017. "Estimation of the tail exponent of multivariate regular variation," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 69(5), pages 945-968, October.
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