Ordering results for elliptical distributions with applications to risk bounds
Author
Abstract
Suggested Citation
DOI: 10.1016/j.jmva.2020.104709
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Aas, Kjersti & Czado, Claudia & Frigessi, Arnoldo & Bakken, Henrik, 2009. "Pair-copula constructions of multiple dependence," Insurance: Mathematics and Economics, Elsevier, vol. 44(2), pages 182-198, April.
- Landsman, Zinoviy & Tsanakas, Andreas, 2006. "Stochastic ordering of bivariate elliptical distributions," Statistics & Probability Letters, Elsevier, vol. 76(5), pages 488-494, March.
- Alfred Müller & Marco Scarsini, 2001.
"Stochastic Comparison of Random Vectors with a Common Copula,"
Mathematics of Operations Research, INFORMS, vol. 26(4), pages 723-740, November.
- Marco Scarsini & Alfred Muller, 2001. "Stochastic comparison of random vectors with a common copula," Post-Print hal-00540198, HAL.
- Chuancun Yin, 2019. "Stochastic Orderings of Multivariate Elliptical Distributions," Papers 1910.07158, arXiv.org, revised Nov 2019.
- Shaked, Moshe & Shanthikumar, J. George, 1997. "Supermodular Stochastic Orders and Positive Dependence of Random Vectors," Journal of Multivariate Analysis, Elsevier, vol. 61(1), pages 86-101, April.
- Carole Bernard & Ludger Rüschendorf & Steven Vanduffel & Ruodu Wang, 2017. "Risk bounds for factor models," Finance and Stochastics, Springer, vol. 21(3), pages 631-659, July.
- Cambanis, Stamatis & Huang, Steel & Simons, Gordon, 1981. "On the theory of elliptically contoured distributions," Journal of Multivariate Analysis, Elsevier, vol. 11(3), pages 368-385, September.
- Müller, Alfred & Scarsini, Marco, 2000.
"Some Remarks on the Supermodular Order,"
Journal of Multivariate Analysis, Elsevier, vol. 73(1), pages 107-119, April.
- Marco Scarsini & Alfred Muller, 2000. "Some remarks on the supermodular order," Post-Print hal-00540239, HAL.
- Ding, Ying & Zhang, Xinsheng, 2004. "Some stochastic orders of Kotz-type distributions," Statistics & Probability Letters, Elsevier, vol. 69(4), pages 389-396, October.
- Chuancun Yin, 2019. "Stochastic ordering of Gini indexes for multivariate elliptical random variables," Papers 1908.01943, arXiv.org, revised Sep 2019.
- Block, Henry W. & Sampson, Allan R., 1988. "Conditionally ordered distributions," Journal of Multivariate Analysis, Elsevier, vol. 27(1), pages 91-104, October.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Chuancun Yin & Jing Yao & Yang Yang, 2024. "Hessian and increasing-Hessian orderings of multivariate skew-elliptical random vectors with applications in actuarial science," Statistical Papers, Springer, vol. 65(7), pages 4715-4744, September.
- Rüschendorf Ludger, 2025. "Generalized Hoeffding-Fréchet functionals and mass transportation," Dependence Modeling, De Gruyter, vol. 13(1), pages 1-15.
- Takaaki Koike & Liyuan Lin & Ruodu Wang, 2022. "Joint mixability and notions of negative dependence," Papers 2204.11438, arXiv.org, revised Jan 2024.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Chuancun Yin, 2019. "Stochastic Orderings of Multivariate Elliptical Distributions," Papers 1910.07158, arXiv.org, revised Nov 2019.
- Pan, Xiaoqing & Qiu, Guoxin & Hu, Taizhong, 2016. "Stochastic orderings for elliptical random vectors," Journal of Multivariate Analysis, Elsevier, vol. 148(C), pages 83-88.
- Jonathan Ansari & Ludger Rüschendorf, 2018. "Ordering Results for Risk Bounds and Cost-efficient Payoffs in Partially Specified Risk Factor Models," Methodology and Computing in Applied Probability, Springer, vol. 20(3), pages 817-838, September.
- Amiri, Mehdi & Izadkhah, Salman & Jamalizadeh, Ahad, 2020. "Linear orderings of the scale mixtures of the multivariate skew-normal distribution," Journal of Multivariate Analysis, Elsevier, vol. 179(C).
- Dorinel Bastide & St'ephane Cr'epey, 2024. "Provisions and Economic Capital for Credit Losses," Papers 2401.07728, arXiv.org, revised Dec 2024.
- Arlotto, Alessandro & Scarsini, Marco, 2009.
"Hessian orders and multinormal distributions,"
Journal of Multivariate Analysis, Elsevier, vol. 100(10), pages 2324-2330, November.
- Marco Scarsini & Alexandro Arlotto, 2009. "Hessian orders and multinormal distributions," Post-Print hal-00491679, HAL.
- Chuancun Yin & Jing Yao & Yang Yang, 2024. "Hessian and increasing-Hessian orderings of multivariate skew-elliptical random vectors with applications in actuarial science," Statistical Papers, Springer, vol. 65(7), pages 4715-4744, September.
- Ansari Jonathan & Rüschendorf Ludger, 2018. "Ordering risk bounds in factor models," Dependence Modeling, De Gruyter, vol. 6(1), pages 259-287, November.
- Mehdi Amiri & Narayanaswamy Balakrishnan & Abbas Eftekharian, 2022. "Hessian orderings of multivariate normal variance-mean mixture distributions and their applications in evaluating dependent multivariate risk portfolios," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 31(3), pages 679-707, September.
- Ho-Yin Mak & Zuo-Jun Max Shen, 2014. "Pooling and Dependence of Demand and Yield in Multiple-Location Inventory Systems," Manufacturing & Service Operations Management, INFORMS, vol. 16(2), pages 263-269, May.
- Michel Denuit & Esther Frostig & Benny Levikson, 2007. "Supermodular Comparison of Time-to-Ruin Random Vectors," Methodology and Computing in Applied Probability, Springer, vol. 9(1), pages 41-54, March.
- Stöber, Jakob & Joe, Harry & Czado, Claudia, 2013. "Simplified pair copula constructions—Limitations and extensions," Journal of Multivariate Analysis, Elsevier, vol. 119(C), pages 101-118.
- Xu Guo & Andreas Wagener & Wing-Keung Wong & Lixing Zhu, 2018.
"The two-moment decision model with additive risks,"
Risk Management, Palgrave Macmillan, vol. 20(1), pages 77-94, February.
- Guo, Xu & Wagener, Andreas & Wong, Wing-Keung & Zhu, Lixing, 2017. "The Two-Moment Decision Model with Additive Risks," MPRA Paper 77625, University Library of Munich, Germany.
- Szego, Giorgio, 2005.
"Measures of risk,"
European Journal of Operational Research, Elsevier, vol. 163(1), pages 5-19, May.
- Szego, Giorgio, 2002. "Measures of risk," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1253-1272, July.
- Margaret Meyer & Bruno Strulovici, 2013. "Beyond Correlation: Measuring Interdependence Through Complementarities," Economics Series Working Papers 655, University of Oxford, Department of Economics.
- Alfred Müller & Marco Scarsini, 2001.
"Stochastic Comparison of Random Vectors with a Common Copula,"
Mathematics of Operations Research, INFORMS, vol. 26(4), pages 723-740, November.
- Marco Scarsini & Alfred Muller, 2001. "Stochastic comparison of random vectors with a common copula," Post-Print hal-00540198, HAL.
- Awaya, Yu & Do, Jihwan, 2022. "Incentives under equal-pay constraint and subjective peer evaluation," Games and Economic Behavior, Elsevier, vol. 135(C), pages 41-59.
- Yuyu Chen & Liyuan Lin & Ruodu Wang, 2021. "Risk Aggregation under Dependence Uncertainty and an Order Constraint," Papers 2104.07718, arXiv.org, revised Oct 2021.
- Kulik, Rafal & Szekli, Ryszard, 2005. "Dependence orderings for some functionals of multivariate point processes," Journal of Multivariate Analysis, Elsevier, vol. 92(1), pages 145-173, January.
- Müller, Alfred & Scarsini, Marco, 2000.
"Some Remarks on the Supermodular Order,"
Journal of Multivariate Analysis, Elsevier, vol. 73(1), pages 107-119, April.
- Marco Scarsini & Alfred Muller, 2000. "Some remarks on the supermodular order," Post-Print hal-00540239, HAL.
More about this item
Keywords
Canonical vine; Directionally convex ordering; Elliptically contoured distributions; Partial correlations; Risk bounds; Supermodular ordering;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jmvana:v:182:y:2021:i:c:s0047259x20302906. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.