Results 21 to 30 of about 63,195 (264)
Stylized Model of Lévy Process in Risk Estimation
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
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Convex hulls of Lévy processes
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Molchanov, Ilya, Wespi, Florian
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On extended stochastic integrals with respect to Lévy processes
Let $L$ be a Levy process on $[0,+\infty)$. In particular cases, when $L$ is a Wiener or Poisson process, any square integrable random variable can be decomposed in a series of repeated stochastic integrals from nonrandom functions with respect to $L ...
N.A. Kachanovsky
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Multiple Points of Levy Processes
We prove a conjecture of Hendricks and Taylor that a Levy process in $\mathbb{R}^d$ with 1-potential kernel $u(x)$ will have $k$-multiple points if $\int_{|x| \leq 1} (u(x))^k dx 0$.
Le Gall, Jean-Francois +2 more
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The operators of stochastic differentiation, which are closely related with the extended Skorohod stochastic integral and with the Hida stochastic derivative, play an important role in the classical (Gaussian) white noise analysis.
M.M. Dyriv, N.A. Kachanovsky
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Strong anomalous diffusion in two-state process with Lévy walk and Brownian motion
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
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We deal with spaces of nonregular generalized functions in the Lévy white noise analysis, which are constructed using Lytvynov's generalization of a chaotic representation property.
N.A. Kachanovsky, T.O. Kachanovska
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Lévy processes and quasi-shuffle algebras [PDF]
We investigate the algebra of repeated integrals of semimartingales. We prove that a minimal family of semimartingales generates a quasi-shuffle algebra. In essence, to fulfill the minimality criterion, first, the family must be a minimal generator of the algebra of repeated integrals generated by its elements and by quadratic covariation processes ...
Curry, Charles +3 more
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Investigating Levy's model in financial series prediction(case of vanilla option) [PDF]
In 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
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Cognitive Behavioral Therapy for Youth With Childhood‐Onset Lupus: A Randomized Clinical Trial
Objective Our objective was to determine the feasibility and acceptability of the Treatment and Education Approach for Childhood‐Onset Lupus (TEACH), a six‐session cognitive behavioral intervention addressing depressive, fatigue, and pain symptoms, delivered remotely to individual youth with lupus by a trained interventionist.
Natoshia R. Cunningham +29 more
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