Partial stabilization of stochastic hybrid neural networks driven by Lévy noise
Systems Science & Control Engineering, 2020 The paper tackles the stabilization of stochastic hybrid neural networks. Different from the existing work which the Brownian motion was used to stabilize neural networks for the stochastic stability, the stabilization is generalized by Lévy noise in ...
Dezhi Liu +3 more
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Gamma mixed fractional Lévy Ornstein–Uhlenbeck process
Modern Stochastics: Theory and Applications, 2023 In this article, a non-Gaussian long memory process is constructed by the aggregation of independent copies of a fractional Lévy Ornstein–Uhlenbeck process with random coefficients. Several properties and a limit theorem are studied for this new process.
Héctor Araya +2 more
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Pricing American Options by a Fourier Transform Multinomial Tree in a Conic Market
Discrete Dynamics in Nature and Society, 2022 Based on FFT, a high-order multinomial tree is constructed, and the method to obtain the price of American style options in the Lévy conic market is studied.
Weiwei Wang, Xiaoping Hu
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Recursive computation of the invariant measure of a stochastic differential equation driven by a L\'evy process [PDF]
, 2008 We investigate some recursive procedures based on an exact or ``approximate'' Euler scheme with decreasing step in vue to computation of invariant measures of solutions to S.D.E. driven by a L\'evy process.
A Lévy Process +2 more
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Logarithmic Lévy process directed by Poisson subordinator
Modern Stochastics: Theory and Applications, 2019 Let $\{L(t),t\ge 0\}$ be a Lévy process with representative random variable $L(1)$ defined by the infinitely divisible logarithmic series distribution. We study here the transition probability and Lévy measure of this process.
Penka Mayster, Assen Tchorbadjieff
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A modified Φ-Sobolev inequality for canonical Lévy processes and its applications
Modern Stochastics: Theory and Applications, 2023 A new modified Φ-Sobolev inequality for canonical ${L^{2}}$-Lévy processes, which are hybrid cases of the Brownian motion and pure jump-Lévy processes, is developed.
Noriyoshi Sakuma, Ryoichi Suzuki
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A construction of continuous-time ARMA models by iterations of Ornstein-Uhlenbeck processes [PDF]
, 2016 We present a construction of a family of continuous-time ARMA processes based on p iterations of the linear operator that maps a Lévy process onto an Ornstein-Uhlenbeck process. The construction resembles the procedure to build an AR(p) from an AR(1). We
Arratia Quesada, Argimiro Alejandro +2 more
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A Lévy-Driven Stochastic Queueing System with Server Breakdowns and Vacations
Mathematics, 2020 Motivated by modelling the data transmission in computer communication networks, we study a Lévy-driven stochastic fluid queueing system where the server may subject to breakdowns and repairs.
Yi Peng, Jinbiao Wu
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On occupation time for on-off processes with multiple off-states
Modern Stochastics: Theory and Applications, 2022 The need to model a Markov renewal on-off process with multiple off-states arise in many applications such as economics, physics, and engineering. Characterization of the occupation time of one specific off-state marginally or two off-states jointly is ...
Chaoran Hu, Vladimir Pozdnyakov, Jun Yan
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A Novel Ant Colony Optimization Algorithm With Levy Flight
IEEE Access, 2020 Ant Colony Optimization (ACO) is a widely applied meta-heuristic algorithm. Little researches focused on the candidate selection mechanism, which was developed based on the simple uniform distribution.
Yahui Liu, Buyang Cao
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