Results 21 to 30 of about 65 (64)

The efficient hedging problem for American options

open access: yes, 2011
American options, Convex risk functionals, Fatou convergence, Worst stopping, Expected shortfall, 91B28, 90C39, 60H05, G13, G11,
MULINACCI, SABRINA, Sabrina Mulinacci
core   +1 more source

Existence and topological structure of solution sets for φ-Laplacian impulsive stochastic differential systems

open access: yes, 2018
In this article, we present results on the existence and the topological structure of the solution set for initial-value problems relating to the first-order impulsive differential equation with infinite Brownian motions are proved. The approach is based
FERHAT, Mohamed, BLOUHI, Tayeb
core   +2 more sources

Behavior with respect to the Hurst index of the Wiener Hermite integrals and application to SPDEs

open access: yes, 2019
International audienceWe consider the Wiener integral with respect to a d-parameter Hermite process with Hurst multi-index H = (H 1 , .., H d) ∈ 1 2 , 1 d and we analyze the limit behavior in distribution of this object when the components of H tend to 1
Tudor, Ciprian A., Slaoui, Meryem
core   +1 more source

A family of integral representations for the brownian variables

open access: yes, 2003
. – The natural filtration of a real Brownian motion and its excursion filtration are sharing a fundamental property: the property of integral representation. As a consequence, every Brownian variable admits two distinct integral representations. We show
Eisenbaum, Nathalie   +3 more
core   +1 more source

Multiple stochastic integral expansions of arbitrary Poisson jump times functionals

open access: yes, 1999
We compute the Wiener-Poisson expansion of square-integrable functionals of a finite number of Poisson jump times in series of multiple Poisson stochastic integrals. Key words: Fock space, Poisson process, Wiener chaos.
Nicolas Privault
core   +1 more source

Optional Decomposition and Lagrange Multipliers [PDF]

open access: yes, 1997
Let Q be the set of equivalent martingale measures for a given process S, and let X be a process which is a local supermartingale with respect to any measure in Q.
Kabanov, Jurij M.   +3 more
core  

Risk-neutral compatibility with option prices

open access: yes
Option prices, Risk neutral measures, Equity pricing, Equivalent martingale measures, 60G44, 60H10, 60H05, G12, G13,
Philip Protter, Jean Jacod
core   +1 more source

Fractional Wiener chaos: Part 1 [PDF]

open access: yes
Mathematics Subject Classification: 26A33 · 42B10 · 60H25 · 60G18 · 60G44 · 60H05 · 33C45 · 60J05 · 60h35In this paper, we introduce a fractional analogue of the Wiener polynomial chaos expansion.
Boguslavskaya, E   +3 more
core   +1 more source

Two-Parameter Stratonovich Integrals

open access: yes, 1999
In a space of generalized white noise functionals we define several integrals of the Stratonovich type. Our approach uses multiple Stratonovich integrals defined via a renormalization operator on Fock space.
Redfern, Mylan
core  

Probability structure preserving and absolute continuity

open access: yes, 2002
. – The concept of probability structure preserving mapping is introduced. The idea is applied to define stochastic integral for fractional Brownian motion (fBm) and to obtain an anticipative Girsanov theorem for fBm.
Hu, Yaozhong, Yaozhong Hu
core  

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