Weighted bounded mean oscillation applied to backward stochastic differential equations
Geiss, S., & Ylinen, J. (2020). Weighted bounded mean oscillation applied to backward stochastic differential equations. Stochastic Processes and their Applications, 130(6), 3711-3752. https://doi.org/10.1016/j.spa.2019.10.007
Published in
Stochastic Processes and their ApplicationsDate
2020Copyright
© 2019 Elsevier B.V. All rights reserved.
We deduce conditional -estimates for the variation of a solution of a BSDE. Both quadratic and sub-quadratic types of BSDEs are considered, and using the theory of weighted bounded mean oscillation we deduce new tail estimates for the solution on subintervals of . Some new results for the decoupling technique introduced in Geiss and Ylinen (2019) are obtained as well and some applications of the tail estimates are given.
Publisher
ElsevierISSN Search the Publication Forum
0304-4149Keywords
Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/33299798
Metadata
Show full item recordCollections
Additional information about funding
This work was supported by project ”Stochastic and Harmonic Analysis, interactions, and applications” of theAcademy of Finland [project number 133914] and by the Vilho, Yrjö and Kalle Väisälä foundation of the Finnish Academy of Science and Letters.License
Related items
Showing items with similar title or keywords.
-
Markov chain backward stochastic differential equations in modeling insurance policy
Hänninen, Henri (2022)Tässä tutkielmassa tarkastelemme henkivakuutuksen varantoa. Mallinnamme henkivakuutusta Markovin prosessin avulla, ja varannon määrittelyyn ja mallintamiseen käytämme Markovin ketju BSDE:itä (Markovin ketju takaperoinen ... -
Backward stochastic differential equations in dynamics of life insurance solvency risk
Hinkkanen, Onni (2022)In this thesis we describe the dynamics of solvency level in life insurance contracts. We do this by representing the underlying sources of risk and the solvency level as the solution to a forward-backward stochastic ... -
Mean square rate of convergence for random walk approximation of forward-backward SDEs
Geiss, Christel; Labart, Céline; Luoto, Antti (Cambridge University Press (CUP), 2020)Let (Y, Z) denote the solution to a forward-backward stochastic differential equation (FBSDE). If one constructs a random walk from the underlying Brownian motion B by Skorokhod embedding, one can show -convergence of ... -
Donsker-type theorem for BSDEs : Rate of convergence
Briand, Philippe; Geiss, Christel; Geiss, Stefan; Labart, Céline (International Statistical Institute, 2021)In this paper, we study in the Markovian case the rate of convergence in Wasserstein distance when the solution to a BSDE is approximated by a solution to a BSDE driven by a scaled random walk as introduced in Briand, ... -
Existence, uniqueness and comparison results for BSDEs with Lévy jumps in an extended monotonic generator setting
Geiss, Christel; Steinicke, Alexander (Shandong Daxue, 2018)We show that the comparison results for a backward SDE with jumps established in Royer (Stoch. Process. Appl 116: 1358–1376, 2006) and Yin and Mao (J. Math. Anal. Appl 346: 345–358, 2008) hold under more simplified ...