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Stability Properties of Constrained Jump-Diffusion Processes
We consider a class of jump-diffusion processes, constrained to a polyhedral cone $G\subset\R^n$, where the constraint vector field is constant on each face of the boundary. The constraining mechanism corrects for ``attempts'' of the process to jump outside the domain.
Rami Atar, Amarjit Budhiraja
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Doubly perturbed jump-diffusion processes
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Stability for multidimensional jump-diffusion processes
Consider an \(n\)-dimensional jump-diffusion process \(\{X^x_t\}\) satisfying \[ X^x_t=x+\int _0^t\mu (X^x_{s-}) ds + \int _0^t\sigma (X^x_{s-}) dB_s + \int _0^t \int c(X^x_{s-},u)\widetilde \nu (ds,du), \] where \(\mu (x)\) and \(c(x,u)\) are \(R^n\)-valued and \(\sigma (x)\) is \(n\times m\)-matrix valued for \(x,u\in R^n\), \(\{B_t\}\) denotes a ...
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We introduce a Python library, called jumpdiff, which includes all necessary functions to assess jump-diffusion processes. This library includes functions which compute a set of non-parametric estimators of all contributions composing a jump-diffusion ...
Leonardo Rydin Gorjão +2 more
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Density estimates for jump diffusion processes
We consider a real-valued diffusion process with a linear jump term driven by a Poisson point process and we assume that the jump amplitudes have a centered density with finite moments. We show upper and lower estimates for the density of the solution in the case that the jump amplitudes follow a Gaussian or Laplacian law.
Arturo Kohatsu-Higa +2 more
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Power Exchange Option with a Hybrid Credit Risk under Jump-Diffusion Model
In this paper, we study the valuation of power exchange options with a correlated hybrid credit risk when the underlying assets follow the jump-diffusion processes.
Junkee Jeon, Geonwoo Kim
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Arbitrary-Order Finite-Time Corrections for the Kramers–Moyal Operator
With the aim of improving the reconstruction of stochastic evolution equations from empirical time-series data, we derive a full representation of the generator of the Kramers–Moyal operator via a power-series expansion of the exponential operator.
Leonardo Rydin Gorjão +3 more
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First-Passage Times and Optimal Control of Integrated Jump-Diffusion Processes
Let Y(t) be a one-dimensional jump-diffusion process and X(t) be defined by dX(t)=ρ[X(t),Y(t)]dt, where ρ(·,·) is either a strictly positive or negative function.
Mario Lefebvre
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Including Jumps in the Stochastic Valuation of Freight Derivatives
The spot freight rate processes considered in the literature for pricing forward freight agreements (FFA) and freight options usually have a particular dynamics in order to obtain the prices.
Lourdes Gómez-Valle +1 more
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Online Drift Estimation for Jump-Diffusion Processes [PDF]
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Bhudisaksang, T, Cartea, A
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