Some remarks on first passage of Lévy processes, the American put and pasting principles [PDF]
, 2005 The purpose of this article is to provide, with the help of a fluctuation identity, a generic link between a number of known identities for the first passage time and overshoot above/below a fixed level of a Lévy process and the solution of Gerber and ...
Kyprianou, A. E., Alili, Larbi
core +1 more source
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
doaj +1 more source
Stylized Model of Lévy Process in Risk Estimation
Mathematics, 2023 Risk management is a popular and important problem in academia and industry. From a small-scale system, such as city logistics, to a large-scale system, such as the supply chain of a global industrial or financial system, efficient risk management is ...
Xin Yun +4 more
doaj +1 more source
Strong anomalous diffusion in two-state process with Lévy walk and Brownian motion
Physical Review Research, 2020 Strong anomalous diffusion phenomena are often observed in complex physical and biological systems, which are characterized by the nonlinear spectrum of exponents qν(q) by measuring the absolute qth moment 〈|x|^{q}〉.
Xudong Wang, Yao Chen, Weihua Deng
doaj +1 more source
Investigating Levy's model in financial series prediction(case of vanilla option) [PDF]
Mathematics and Modeling in FinanceIn recent years, there has been growing interest in the application of stochastic processes to model financial markets, particularly in the pricing and prediction of derivative instruments such as options. One of the more advanced models that has emerged
Seyed Jalal Tabatabaei
doaj +1 more source
Derivation of the Fractional Fokker–Planck Equation for Stable Lévy with Financial Applications
Mathematics, 2023 This paper aims to propose a generalized fractional Fokker–Planck equation based on a stable Lévy stochastic process. To develop the general fractional equation, we will use the Lévy process rather than the Brownian motion.
Reem Abdullah Aljethi, Adem Kılıçman
doaj +1 more source
Path dependent option pricing under Lévy processes applied to Bermudan options [PDF]
, 2004 A model is developed that can price path dependent options when the underlying process is an exponential Lévy process with closed form conditional characteristic function. The model is an extension of a recent quadrature option pricing model so that it
O'Sullivan, Conall
core +1 more source
Random Dynamics of the Stochastic Boussinesq Equations Driven by Lévy Noises
Abstract and Applied Analysis, 2013 This paper is devoted to the investigation of random dynamics of the stochastic Boussinesq equations driven by Lévy noise. Some fundamental properties of a subordinator Lévy process and the stochastic integral with respect to a Lévy process are discussed,
Jianhua Huang, Yuhong Li, Jinqiao Duan
doaj +1 more source
Random representation of Blasius’ formula through stochastic complex integrals
International Journal of Mathematics for Industry, 2019 Two-dimensional flow is considered in the complex plane. We discuss Blasius’ formula in a perfect fluid through stochastic complex integrals. This formula is also investigated in a viscous fluid.
Kouji Yamamuro
doaj +1 more source
Continuous-time random walks and Lévy walks with stochastic resetting
Physical Review Research, 2020 Intermittent stochastic processes appear in a wide field, such as chemistry, biology, ecology, and computer science. This paper builds up the theory of intermittent continuous-time random walk (CTRW) and Lévy walk, in which the particles are ...
Tian Zhou, Pengbo Xu, Weihua Deng
doaj +1 more source