Results 11 to 20 of about 10,047 (263)

Approximating the First Passage Time Density of Diffusion Processes with State-Dependent Jumps

open access: yesFractal and Fractional, 2022
We study the problem of the first passage time through a constant boundary for a jump diffusion process whose infinitesimal generator is a nonlocal Jacobi operator.
Giuseppe D’Onofrio, Alessandro Lanteri
doaj   +1 more source

Local Linear Approximations of Jump Diffusion Processes [PDF]

open access: yesJournal of Applied Probability, 2006
Local linear approximations have been the main component in the construction of a class of effective numerical integrators and inference methods for diffusion processes. In this note, two local linear approximations of jump diffusion processes are introduced as a generalization of the usual ones. Their rate of uniform strong convergence is also studied.
Jimenez, J. C., Carbonell, F.
openaire   +1 more source

Analytical Investigations into Anomalous Diffusion Driven by Stress Redistribution Events: Consequences of Lévy Flights

open access: yesMathematics, 2022
This research is concerned with developing a generalised diffusion equation capable of describing diffusion processes driven by underlying stress-redistributing type events.
Josiah D. Cleland, Martin A. K. Williams
doaj   +1 more source

Convergence of hitting times for jump-diffusion processes

open access: yesModern Stochastics: Theory and Applications, 2015
We investigate the convergence of hitting times for jump-diffusion processes. Specifically, we study a sequence of stochastic differential equations with jumps.
Georgiy Shevchenko
doaj   +1 more source

A Monte Carlo Approach to Bitcoin Price Prediction with Fractional Ornstein–Uhlenbeck Lévy Process

open access: yesForecasting, 2022
Since its inception in 2009, Bitcoin has increasingly gained main stream attention from the general population to institutional investors. Several models, from GARCH type to jump-diffusion type, have been developed to dynamically capture the price ...
Jules Clément Mba   +2 more
doaj   +1 more source

Bayesian Estimation of Asymmetric Jump-Diffusion Processes [PDF]

open access: yesSSRN Electronic Journal, 2012
The hypothesis that asset returns are normally distributed has been widely rejected. The literature has shown that empirical asset returns are highly skewed and leptokurtic. The affine jump-diffusion (AJD) model improves upon the normal specification by adding a jump component to the price process. Two important extensions proposed by Ramezani and Zeng
Frame, Samuel J., Ramezani, Cyrus A.
openaire   +2 more sources

Option Pricing with Stochastic Volatility and Jump Diffusion Processes [PDF]

open access: yesTheoretical and Applied Economics, 2006
Option pricing by the use of Black Scholes Merton (BSM) model is based on the assumption that asset prices have a lognormal distribution. In spite of the use of these models on a large scale, both by practioners and academics, the assumption of ...
Radu Lupu
doaj   +1 more source

Multifractality of jump diffusion processes [PDF]

open access: yesAnnales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2018
33 pages, accepted by Annales de l'Institut Henri Poincar ...
openaire   +7 more sources

Reliability Analysis Based on a Jump Diffusion Model with Two Wiener Processes for Cloud Computing with Big Data

open access: yesEntropy, 2015
At present, many cloud services are managed by using open source software, such as OpenStack and Eucalyptus, because of the unification management of data, cost reduction, quick delivery and work savings.
Yoshinobu Tamura, Shigeru Yamada
doaj   +1 more source

Adaptively Setting the Path Length for Separable Shadow Hamiltonian Hybrid Monte Carlo

open access: yesIEEE Access, 2021
Hybrid Monte Carlo (HMC) has been widely applied to numerous posterior inference problems in machine learning and statistics. HMC has two main practical issues, the first is the deterioration in acceptance rates as the system size increases and the ...
Wilson Tsakane Mongwe   +2 more
doaj   +1 more source

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