-
1
-
2
Malliavin calculus in a binomial framework
Published 2018“…Martingale representation, backward stochastic differential equations, and the Malliavin calculus are difficult concepts in a continuous‐time setting. …”
Journal article -
3
An application of the Malliavin calculus to infinite dimensional diffusions
Published 2006Get full text
Thesis -
4
Characterization of stochastic equilibrium controls by the Malliavin calculus
Published 2022Subjects: Get full text
Journal Article -
5
Gaussian lower bounds for the density via Malliavin calculus
Published 2020-03-01Get full text
Article -
6
Grid-free computation of probabilistic safety with Malliavin calculus
Published 2023“…The approach introduces a functional that is minimised at the border of the probabilistic safety region, then solves an optimisation problem using techniques from Malliavin Calculus, which computes such region. Unlike existing results in the literature, the new approach allows one to compute probabilistic safety regions without gridding the state space of the SDE.…”
Journal article -
7
Gaussian approximation of functionals: Malliavin calculus and Stein's method
Published 2011Book section -
8
Applications of Malliavin calculus to the pricing and hedging of Bermudan options
Published 2011“…This paper specifically deals with how the powerful tools of Malliavin calculus are applied in the derivation of such representation formulas, and looks at how the latter are subsequently used in the pricing and hedging algorithm. …”
Thesis -
9
Grid-free computation of probabilistic safety with Malliavin Calculus
Published 2021“…The approach introduces a functional that is minimised at the border of the probabilistic safety region, then solves an optimisation problem using techniques from Malliavin Calculus, which computes such region. Unlike existing results in the literature, the new approach allows one to compute probabilistic safety regions without gridding the state space of the SDE.…”
Internet publication -
10
Malliavin Calculus and Its Application to Robust Optimal Investment for an Insider
Published 2023-10-01Subjects: “…Malliavin calculus…”
Get full text
Article -
11
Malliavin Calculus Method for Asymptotic Expansion of Dual Control Problems
Published 2013Journal article -
12
Sample paths of some Gaussian processes via Malliavin calculus
Published 2019“…<p>In this thesis, we study the sample paths of some Gaussian processes using the methods from Malliavin calculus. To be more specific, we consider several interesting properties of fractional Brownian motion sample paths in the context of both probability measures and capacities. …”
Thesis -
13
Application of fuzzy Malliavin calculus in hedging fixed strike lookback option
Published 2023-02-01Subjects: Get full text
Article -
14
-
15
A mean-field stochastic maximum principle via Malliavin calculus
Published 2012“…All the system coefficients and the objective performance functional are allowed to be random, possibly non-Markovian. Malliavin calculus is employed to derive a maximum principle for the optimal control of such a system where the adjoint process is explicitly expressed. © 2012 Copyright Taylor and Francis Group, LLC.…”
Journal article -
16
Pricing cumulative loss derivatives under additive models via Malliavin calculus
Published 2022-12-01“…The formulas given in the present paper, obtained by simple proofs, generalize the formulas given in a recent paper by Hillairet, Jiao and Réveillac using Malliavin calculus techniques for the standard Poisson process, a particular case of additive process. …”
Get full text
Article -
17
Bound for an Approximation of Invariant Density of Diffusions via Density Formula in Malliavin Calculus
Published 2023-05-01Subjects: “…Malliavin calculus…”
Get full text
Article -
18
Nash Equilibrium of Stochastic Partial Differential Game with Partial Information via Malliavin Calculus
Published 2023-01-01“…We find an explicit strong solution of the linear stochastic partial differential equation with a generalized probabilistic representation for this solution with the benefit of Kunita’s stochastic flow theory. We use Malliavin calculus to derive a stochastic maximum principle for the optimal control and obtain the Nash equilibrium of this type of stochastic differential game problem.…”
Get full text
Article -
19
-
20
Third cumulant stein approximation for Poisson stochastic integrals
Published 2021Subjects: Get full text
Journal Article