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An Axiomatization Of Quantiles On The Domain Of Distribution Functions

Citations

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Cited by:

  1. Castro, Luciano de & Galvao, Antonio F. & Kim, Jeong Yeol & Montes-Rojas, Gabriel & Olmo, Jose, 2022. "Experiments on portfolio selection: A comparison between quantile preferences and expected utility decision models," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 97(C).
  2. Walter Farkas & Pablo Koch-Medina & Cosimo Munari, 2014. "Beyond cash-additive risk measures: when changing the numéraire fails," Finance and Stochastics, Springer, vol. 18(1), pages 145-173, January.
  3. Xia Han & Bin Wang & Ruodu Wang & Qinyu Wu, 2021. "Risk Concentration and the Mean-Expected Shortfall Criterion," Papers 2108.05066, arXiv.org, revised Apr 2022.
  4. Ceriani,Lidia & Verme,Paolo, 2018. "Risk preferences and the decision to flee conflict," Policy Research Working Paper Series 8376, The World Bank.
  5. de Castro, Luciano & Galvao, Antonio F. & Kaplan, David M. & Liu, Xin, 2019. "Smoothed GMM for quantile models," Journal of Econometrics, Elsevier, vol. 213(1), pages 121-144.
  6. de Castro, Luciano & Galvao, Antonio F. & Noussair, Charles N. & Qiao, Liang, 2022. "Do people maximize quantiles?," Games and Economic Behavior, Elsevier, vol. 132(C), pages 22-40.
  7. Xia Han & Bin Wang & Ruodu Wang & Qinyu Wu, 2024. "Risk concentration and the mean‐expected shortfall criterion," Mathematical Finance, Wiley Blackwell, vol. 34(3), pages 819-846, July.
  8. Xin Liu & Luciano de Castro & Antonio F. Galvao, 2026. "A Smoothed GMM for Dynamic Quantile Preferences Estimation," Papers 2601.20853, arXiv.org.
  9. Hirbod Assa & Peng Liu, 2024. "Factor risk measures," Papers 2404.08475, arXiv.org.
  10. Mikhail Sokolov, 2011. "Interval scalability of rank-dependent utility," Theory and Decision, Springer, vol. 70(3), pages 255-282, March.
  11. Lidia Ceriani & Paolo Verme, 2025. "Who Flees Conflict?," Papers 2505.03405, arXiv.org.
  12. Xue Dong He & Zhaoli Jiang & Steven Kou, 2020. "Portfolio Selection under Median and Quantile Maximization," Papers 2008.10257, arXiv.org, revised Mar 2021.
  13. Fabio Bellini & Ilaria Peri, 2021. "An axiomatization of $\Lambda$-quantiles," Papers 2109.02360, arXiv.org, revised Jan 2022.
  14. Long, Yan & Sethuraman, Jay & Xue, Jingyi, 2021. "Equal-quantile rules in resource allocation with uncertain needs," Journal of Economic Theory, Elsevier, vol. 197(C).
  15. Felix-Benedikt Liebrich & Ruodu Wang, 2025. "Eliciting reference measures of law-invariant functionals," Papers 2507.13763, arXiv.org, revised Feb 2026.
  16. Xia Han & Qiuqi Wang & Ruodu Wang & Jianming Xia, 2021. "Cash-subadditive risk measures without quasi-convexity," Papers 2110.12198, arXiv.org, revised Jan 2025.
  17. Jozef Barunik & Lukas Janasek & Attila Sarkany, 2025. "Managing Portfolios Across the Return Distribution," Papers 2510.19271, arXiv.org, revised Jun 2026.
  18. Balter, Anne G. & Chau, Ki Wai & Schweizer, Nikolaus, 2024. "Comparative risk aversion vs. threshold choice in the Omega ratio," Omega, Elsevier, vol. 123(C).
  19. Hirbod Assa & Liyuan Lin & Ruodu Wang, 2022. "Calibrating distribution models from PELVE," Papers 2204.08882, arXiv.org, revised Jun 2023.
  20. Jarrod Burgh & Emerson Melo, 2023. "Wishful Thinking is Risky Thinking," Papers 2307.02422, arXiv.org, revised Feb 2024.
  21. Burgh, Jarrod & Melo, Emerson, 2025. "Censored beliefs and wishful thinking," Journal of Mathematical Economics, Elsevier, vol. 121(C).
  22. Gribkova, N.V. & Su, J. & Zitikis, R., 2022. "Inference for the tail conditional allocation: Large sample properties, insurance risk assessment, and compound sums of concomitants," Insurance: Mathematics and Economics, Elsevier, vol. 107(C), pages 199-222.
  23. Xue Dong He & Zhaoli Jiang, 2020. "Optimal Payoff under the Generalized Dual Theory of Choice," Papers 2012.00345, arXiv.org.
  24. Peng Liu & Alexander Schied & Ruodu Wang, 2021. "Distributional Transforms, Probability Distortions, and Their Applications," Mathematics of Operations Research, INFORMS, vol. 46(4), pages 1490-1512, November.
  25. de Castro, Luciano & Galvao, Antonio F. & Kaplan, David M. & Liu, Xin, 2019. "Smoothed GMM for quantile models," Journal of Econometrics, Elsevier, vol. 213(1), pages 121-144.
  26. de Castro, Luciano & Galvao, Antonio F. & Muchon, Andre, 2023. "Numerical Solution of Dynamic Quantile Models," Journal of Economic Dynamics and Control, Elsevier, vol. 148(C).
  27. Jarrod Burgh & Emerson Melo, 2024. "Censored Beliefs and Wishful Thinking," Papers 2402.01892, arXiv.org, revised Jan 2025.
  28. Ruodu Wang & Ričardas Zitikis, 2021. "An Axiomatic Foundation for the Expected Shortfall," Management Science, INFORMS, vol. 67(3), pages 1413-1429, March.
  29. de Castro, Luciano & Galvao, Antonio F. & Montes-Rojas, Gabriel, 2020. "Quantile selection in non-linear GMM quantile models," Economics Letters, Elsevier, vol. 195(C).
  30. Luciano de Castro & Antonio F. Galvao & Gabriel Montes-Rojas & Jose Olmo, 2022. "Portfolio selection in quantile decision models," Annals of Finance, Springer, vol. 18(2), pages 133-181, June.
  31. de Castro, Luciano I. & Galvao, Antonio F. & Nunes, Daniel da Siva, 2025. "Dynamic economics with quantile preferences," Theoretical Economics, Econometric Society, vol. 20(1), January.
  32. Zou, Zhenfeng & Hu, Taizhong, 2024. "Adjusted higher-order expected shortfall," Insurance: Mathematics and Economics, Elsevier, vol. 115(C), pages 1-12.
  33. Luciano Castro & Antonio F. Galvao, 2022. "Static and dynamic quantile preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 747-779, April.
  34. Xia Han & Liyuan Lin & Ruodu Wang, 2025. "Diversification Quotients: Quantifying Diversification via Risk Measures," Management Science, INFORMS, vol. 71(9), pages 7990-8006, September.
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