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Property Claim Services by Compound Poisson Process And Inhomogeneous Levy Process
In this paper, stochastic compound Poisson process is employed to value the catastrophic insurance options and model the claim arrival process for catastrophic events, which were written in the loss period , during which the catastrophe took place. Here,
Muhammed A.S. Murad
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Wavelet Coefficients of Levy Process
Cet article présente une expression de la fonction caractéristique des coefficients de décomposition en ondelettes d'un processus de Levy. Le cas particulier de l'ondelette de Haar et d'un processus entrelacé est traité plus en détail.
Suyundykov, Ruslan +2 more
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This is the data associated with the journal article « Coalescence in fused filament fabrication process: thermo-dependent characterization of high-performance polymer properties » by Arthur Lepoivre , Arthur Levy , Nicolas Boyard , Vincent Gaudefroy ...
Levy, A
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Extensions of Regularity for a Levy Process [PDF]
We obtain necessary and sufficient conditions for the finiteness of certain moment functions of the random variable T0(-), which is the first passage time of a Levy process (X-t)(t >= 0) below zero, and the position XT0- of the process at this time.
Maller, Ross
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Wick calculus on spaces of regular generalized functions of Levy white noise analysis
Many objects of the Gaussian white noise analysis (spaces of test and generalized functions, stochastic integrals and derivatives, etc.) can be constructed and studied in terms of so-called chaotic decompositions, based on a chaotic representation ...
M.M. Frei
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Pricing American Options by a Fourier Transform Multinomial Tree in a Conic Market
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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A Lévy-Driven Stochastic Queueing System with Server Breakdowns and Vacations
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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A modified Φ-Sobolev inequality for canonical Lévy processes and its applications
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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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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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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