Jump-filtration consistent nonlinear expectations with \(\mathbb{L}^p\) domains
From MaRDI portal
Publication:1734284
DOI10.1007/s00245-017-9422-4zbMath1411.60086OpenAlexW2614946866MaRDI QIDQ1734284
Publication date: 27 March 2019
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00245-017-9422-4
representation theoremDoob-Meyer decompositionbackward stochastic differential equations with jumps\(g\)-expectationsoptional sampling\(\mathbb{L}^p\) solutionsnonlinear expectations consistent with jump filtration
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) (L^p)-limit theorems (60F25)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- BSDEs under filtration-consistent nonlinear expectations and the corresponding decomposition theorem for \({\mathcal E}\)-supermartingales in \(L^p\)
- Representing filtration consistent nonlinear expectations as \(g\)-expectations in general probability spaces
- Adapted solution of a backward stochastic differential equation
- Representation of the penalty term of dynamic concave utilities
- Dynamical evaluations
- Filtration consistent nonlinear expectations and evaluations of contingent claims
- Backward stochastic differential equations with jumps and related nonlinear expectations
- Representation theorems for quadratic \(\mathcal F\)-consistent nonlinear expectations
- A general theory of finite state backward stochastic difference equations
- Backward stochastic differential equations with constraints on the gains-process
- Conjugate convex functions in optimal stochastic control
- Convex measures of risk and trading constraints
- A converse comparison theorem for BSDEs and related properties of \(g\)-expectation
- Existence and uniqueness results for BSDE with jumps: the whole nine yards
- Filtration-consistent nonlinear expectations and related \(g\)-expectations
- Optimal stopping for dynamic convex risk measures
- BSDEs with jumps, optimization and applications to dynamic risk measures
- Nonlinear expectations and nonlinear Markov chains
- Risk measures via \(g\)-expectations
- Coherent Measures of Risk
- BSDEs with monotone generator driven by Brownian and Poisson noises in a general filtration
- Quadratic BSDEs with jumps: Related nonlinear expectations
- Backward Stochastic Difference Equations and Nearly Time-Consistent Nonlinear Expectations
- Representation of dynamic time-consistent convex risk measures with jumps
- On Quadraticg-Evaluations/Expectations and Related Analysis
- Necessary Conditions for Optimal Control of Stochastic Systems with Random Jumps
- Backward Stochastic Differential Equations in Finance
- Lp-solution for BSDEs with jumps in the casep<2
- Continuous properties of \(g\)-martingales