Results 31 to 40 of about 115,543 (153)
A Continuous Time GARCH Process Driven by a Lévy Process: Stationarity and Second Order Behaviour [PDF]
, 2005 We use a discrete time analysis, giving necessary and sufficient conditions for the almost sure convergence of ARCH(1) and GARCH(1,1) discrete time models, tosuggest an extension of the (G)ARCH concept to continuous time processes.
Klüppelberg, Claudia +2 more
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Cliquet option pricing with Meixner processes
Modern Stochastics: Theory and Applications, 2018 We investigate the pricing of cliquet options in a geometric Meixner model. The considered option is of monthly sum cap style while the underlying stock price model is driven by a pure-jump Meixner–Lévy process yielding Meixner distributed log-returns ...
Markus Hess
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A non-Lévy random walk in chacma baboons: what does it mean? [PDF]
PLoS ONE, 2011 The Lévy walk is found from amoebas to humans and has been described as the optimal strategy for food research. Recent results, however, have generated controversy about this conclusion since animals also display alternatives to the Lévy walk such as the
Cédric Sueur
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A Monte Carlo Approach to Bitcoin Price Prediction with Fractional Ornstein–Uhlenbeck Lévy Process
Forecasting, 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
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Jumping to Conclusion? A Lévy Flight Model of Decision Making [PDF]
Tutorials in Quantitative Methods for Psychology, 2020 The diffusion model is one of the most prominent response time models in cognitive psychology. The model describes evidence accumulation as a stochastic process that runs between two boundaries until a threshold is hit, and a decision is made.
Wieschen, Eva Marie +2 more
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Cliquet option pricing in a jump-diffusion Lévy model
Modern Stochastics: Theory and Applications, 2018 We investigate the pricing of cliquet options in a jump-diffusion model. The considered option is of monthly sum cap style while the underlying stock price model is driven by a drifted Lévy process entailing a Brownian diffusion component as well as ...
Markus Hess
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On extended stochastic integrals with respect to Lévy processes
Karpatsʹkì Matematičnì Publìkacìï, 2013 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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Iterated stochastic integrals and random velocity fluctuations
International Journal of Mathematics for Industry, 2023 Iterated stochastic integrals of nonrandom integrands are constructed in the two-dimensional case. They are applied to the velocity fluctuations in a two-dimensional flow and mean kinetic energy of the velocity fluctuations is discussed.
Kouji Yamamuro
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A Continuous Time GARCH Process of Higher Order [PDF]
, 2005 A continuous time GARCH model of order (p,q) is introduced, which is driven by a single Lévy process. It extends many of the features of discrete time GARCH(p,q) processes to a continuous time setting.
Brockwell, Peter J. +2 more
core +2 more sources
Lévy processes conditioned to stay in a half-space with applications to directional extremes
Modern Stochastics: Theory and Applications, 2022 This paper provides a multivariate extension of Bertoin’s pathwise construction of a Lévy process conditioned to stay positive or negative. Thus obtained processes conditioned to stay in half-spaces are closely related to the original process on a ...
Jevgenijs Ivanovs, Jakob D. Thøstesen
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