Generalized Wasserstein Distance and Weak Convergence of Sublinear Expectations
Author
Abstract
Suggested Citation
DOI: 10.1007/s10959-015-0651-7
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
- Larry G. Epstein & Shaolin Ji, 2013.
"Ambiguous Volatility and Asset Pricing in Continuous Time,"
The Review of Financial Studies, Society for Financial Studies, vol. 26(7), pages 1740-1786.
- Larry G. Epstein & Shaolin Ji, 2012. "Ambiguous Volatility and Asset Pricing in Continuous Time," CIRANO Working Papers 2012s-29, CIRANO.
- Larry G. Epstein & Shaolin Ji, 2013. "Ambiguous volatility and asset pricing in continuous time," Papers 1301.4614, arXiv.org.
- Vorbrink, Jörg, 2014. "Financial markets with volatility uncertainty," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 64-78.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Guo, Xiaofan & Li, Shan & Li, Xinpeng, 2023. "Notes on Peng’s independence in sublinear expectation theory," Statistics & Probability Letters, Elsevier, vol. 193(C).
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.- Matteo Burzoni & Frank Riedel & H. Mete Soner, 2021.
"Viability and Arbitrage Under Knightian Uncertainty,"
Econometrica, Econometric Society, vol. 89(3), pages 1207-1234, May.
- Matteo Burzoni & Frank Riedel & H. Mete Soner, 2017. "Viability and Arbitrage under Knightian Uncertainty," Papers 1707.03335, arXiv.org, revised Jan 2021.
- Burzoni, Matteo & Riedel, Frank & Soner, Halil Mete, 2017. "Viability and arbitrage under Knightian Uncertainty," Center for Mathematical Economics Working Papers 575, Center for Mathematical Economics, Bielefeld University.
- Shige Peng & Huilin Zhang, 2022. "Wong–Zakai Approximation for Stochastic Differential Equations Driven by G-Brownian Motion," Journal of Theoretical Probability, Springer, vol. 35(1), pages 410-425, March.
- Qian Lin, 2015. "Dynamic indifference pricing via the G-expectation," Papers 1503.08628, arXiv.org, revised Sep 2020.
- Hölzermann, Julian, 2018. "Bond Pricing under Knightian Uncertainty. A Short Rate Model with Drift and Volatility Uncertainty," Center for Mathematical Economics Working Papers 582, Center for Mathematical Economics, Bielefeld University.
- Patrick Beissner, 2019. "Coherent-Price Systems and Uncertainty-Neutral Valuation," Risks, MDPI, vol. 7(3), pages 1-18, September.
- Julian Holzermann, 2019. "Term Structure Modeling under Volatility Uncertainty," Papers 1904.02930, arXiv.org, revised Sep 2021.
- Julian Holzermann, 2018. "The Hull-White Model under Volatility Uncertainty," Papers 1808.03463, arXiv.org, revised Jan 2021.
- Changhong Guo & Shaomei Fang & Yong He, 2023. "A Generalized Stochastic Process: Fractional G-Brownian Motion," Methodology and Computing in Applied Probability, Springer, vol. 25(1), pages 1-34, March.
- Patrick Beissner & Frank Riedel, 2018. "Non-implementability of Arrow–Debreu equilibria by continuous trading under volatility uncertainty," Finance and Stochastics, Springer, vol. 22(3), pages 603-620, July.
- Nendel, Max & Röckner, Michael, 2019. "Upper Envelopes of Families of Feller Semigroups and Viscosity Solutions to a Class of Nonlinear Cauchy Problems," Center for Mathematical Economics Working Papers 618, Center for Mathematical Economics, Bielefeld University.
- Hölzermann, Julian & Lin, Qian, 2019. "Term Structure Modeling under Volatility Uncertainty: A Forward Rate Model driven by G-Brownian Motion," Center for Mathematical Economics Working Papers 613, Center for Mathematical Economics, Bielefeld University.
- Weidong Tian & Junya Jiang & Weidong Tian, 2017. "Model Uncertainty Effect on Asset Prices," International Review of Finance, International Review of Finance Ltd., vol. 17(2), pages 205-233, June.
- Changhong Guo & Shaomei Fang & Yong He, 2023. "Derivation and Application of Some Fractional Black–Scholes Equations Driven by Fractional G-Brownian Motion," Computational Economics, Springer;Society for Computational Economics, vol. 61(4), pages 1681-1705, April.
- Qian Lin & Frank Riedel, 2021. "Optimal consumption and portfolio choice with ambiguous interest rates and volatility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 1189-1202, April.
- Jaeyoung Sung, 2022. "Optimal contracting under mean-volatility joint ambiguity uncertainties," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(2), pages 593-642, September.
- Geoffrey Poitras & John Heaney, 2015.
"Classical Ergodicity and Modern Portfolio Theory,"
Post-Print
hal-03680380, HAL.
- Poitras, Geoffrey & Heaney, John, 2015. "Classical Ergodicity and Modern Portfolio Theory," MPRA Paper 113952, University Library of Munich, Germany.
- Gloria Gonzalez‐Rivera & Yun Luo & Esther Ruiz, 2020.
"Prediction regions for interval‐valued time series,"
Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 35(4), pages 373-390, June.
- Gloria Gonzalez-Rivera & Yun Luo & Esther Ruiz, 2018. "Prediction Regions for Interval-valued Time Series," Working Papers 201817, University of California at Riverside, Department of Economics.
- Gloria Gonzalez-Rivera & Yun Luo & Esther Ruiz, 2019. "Prediction Regions for Interval-valued Time Series," Working Papers 201921, University of California at Riverside, Department of Economics.
- González-Rivera, Gloria & Luo, Yun, 2019. "Prediction regions for interval-valued time series," DES - Working Papers. Statistics and Econometrics. WS 29054, Universidad Carlos III de Madrid. Departamento de EstadÃstica.
- Luo, Qin & Bu, Jinfeng & Xu, Weiju & Huang, Dengshi, 2023. "Stock market volatility prediction: Evidence from a new bagging model," International Review of Economics & Finance, Elsevier, vol. 87(C), pages 445-456.
- Lin, Qian, 2019. "Jensen inequality for superlinear expectations," Statistics & Probability Letters, Elsevier, vol. 151(C), pages 79-83.
- Yuecai Han & Chunyang Liu, 2018. "Asian Option Pricing under Uncertain Volatility Model," Papers 1808.00656, arXiv.org.
More about this item
Keywords
Sublinear expectations; Weak convergence; Kantorovich–Rubinstein duality formula; Wasserstein distance;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:spr:jotpro:v:30:y:2017:i:2:d:10.1007_s10959-015-0651-7. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.