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Levy Process Simulation by Stochastic Step Functions [PDF]

open access: yesSIAM Journal of Scientific Computing, 2013
20 pages, 18 ...
Fred Espen Benth
exaly   +3 more sources

The Range of a Levy Process

open access: yesAnnals of Probability, 1991
It is shown that all Levy processes on the line whose paths are of bounded variation have a closed range over any finite time interval that is nowhere dense except for those processes having positive (negative) drift with Levy measure finite on $(0, \infty)$ [finite on $(-\infty, 0)$].
T S Mountford
exaly   +3 more sources

A Novel Ant Colony Optimization Algorithm With Levy Flight

open access: yesIEEE 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   +3 more sources

Modeling Financial Markets Using Combined Ornstein-uhlenbeck Process with Levy Noise [PDF]

open access: yesتحقیقات مالی, 2021
Objective: The main purpose of this paper is to investigate a developed stochastic algorithm for modeling financial markets using the Ornstein-uhlenbeck process combined with Levy noise. Using the closing prices of stock markets, it can be concluded that
Mina Mohammadi, Parisa Nabati
doaj   +1 more source

PERSAMAAN DIFERENSIAL ORNSTEIN-UHLENBECK DALAM PERAMALAN HARGA SAHAM

open access: yesMedia Statistika, 2020
Geometric Brownian motion is one of the most widely used stock price model. One of the assumptions that is filled with stock return volatility is constant. Gamma Ornstein-Uhlenbeck process a model to describe volatility in finance.
Amam Taufiq Hidayat, Subanar Subanar
doaj   +1 more source

Kajian Integral Lintasan Levy dalam Mekanika Kuantum Fraksional untuk Membentuk Persamaan Schrodinger Fraksional

open access: yesRisenologi, 2020
The implementation of Lévy path integral generated by Lévy stochastic process on fractional Schrödinger equation has been investigated in the framework of fractional quantum mechanics.
Chandra Halim, M. Farchani Rosyid
doaj   +1 more source

Modelling of Fuel- and Energy-Switching Prices by Mean-Reverting Processes and Their Applications to Alberta Energy Markets

open access: yesMathematics, 2021
This paper introduces a fuel-switching price to the Alberta market, which is designed for encouraging power plant companies to switch from coal to natural gas when they produce electricity; this has been successfully applied to the European market ...
Weiliang Lu   +3 more
doaj   +1 more source

Extension of Short Rate Model Under a Lévy Process

open access: yesFountain Journal of Natural and Applied Sciences (FUJNAS), 2023
A lot of abnormalities occur in real-life scenarios, thus leading to some difficulties in modelling such scenarios without a deeper understanding of certain aspects of Lévy processes.
Dr A. M. Udoye
doaj   +3 more sources

Logarithmic Lévy process directed by Poisson subordinator

open access: yesModern Stochastics: Theory and Applications, 2019
Let $\{L(t),t\ge 0\}$ be a Lévy process with representative random variable $L(1)$ defined by the infinitely divisible logarithmic series distribution. We study here the transition probability and Lévy measure of this process.
Penka Mayster, Assen Tchorbadjieff
doaj   +1 more source

Operators of stochastic differentiation on spaces of nonregular generalized functions of Levy white noise analysis

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2016
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.
N.A. Kachanovsky
doaj   +1 more source

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