Results 11 to 20 of about 24,373 (148)

Ornstein–Uhlenbeck Process on Three-Dimensional Comb under Stochastic Resetting

open access: yesMathematics, 2023
The Ornstein–Uhlenbeck (O-U) process with resetting is considered as the anomalous transport taking place on a three-dimensional comb. The three-dimensional comb is a comb inside a comb structure, consisting of backbones and fingers in the following ...
Pece Trajanovski   +3 more
doaj   +1 more source

Pricing Energy Derivatives in Markets Driven by Tempered Stable and CGMY Processes of Ornstein–Uhlenbeck Type

open access: yesRisks, 2022
In this study, we consider the pricing of energy derivatives when the evolution of spot prices follows a tempered stable or a CGMY-driven Ornstein–Uhlenbeck process.
Piergiacomo Sabino
doaj   +1 more source

On the Kolmogorov Distance for the Maximum Likelihood Estimator in the Explosive Ornstein-Uhlenbeck Process

open access: yesEuropean Journal of Mathematical Analysis, 2023
The paper estimates the Kolmogorov distance between the distribution of the normalized maximum likelihood estimator of the positive drift parameter in the nonergodic Ornstein-Uhlenbeck process and the standard Cauchy distribution and shows exponential ...
Jaya P. N. Bishwal
doaj   +1 more source

Symmetry of the isotropic Ornstein-Uhlenbeck process in a force field [PDF]

open access: yesOpen Communications in Nonlinear Mathematical Physics, 2021
We classify simple symmetries for an Ornstein-Uhlenbeck process, describing a particle in an external force field $f(x)$. It turns out that for sufficiently regular (in a sense to be defined) forces there are nontrivial symmetries only if $f(x)$ is at ...
Giuseppe Gaeta
doaj   +1 more source

Spurious ergodicity breaking in normal and fractional Ornstein–Uhlenbeck process

open access: yesNew Journal of Physics, 2020
The Ornstein–Uhlenbeck process is a stationary and ergodic Gaussian process, that is fully determined by its covariance function and mean. We show here that the generic definitions of the ensemble- and time-averaged mean squared displacements fail to ...
Yousof Mardoukhi   +2 more
doaj   +1 more source

A construction of continuous-time ARMA models by iterations of Ornstein-Uhlenbeck processes [PDF]

open access: yes, 2016
We present a construction of a family of continuous-time ARMA processes based on p iterations of the linear operator that maps a Lévy process onto an Ornstein-Uhlenbeck process. The construction resembles the procedure to build an AR(p) from an AR(1). We
Arratia Quesada, Argimiro Alejandro   +2 more
core   +2 more sources

European call option issued on a bond governed by a geometric or a fractional geometric Ornstein-Uhlenbeck process

open access: yesModern Stochastics: Theory and Applications, 2014
European call option issued on a bond governed by a modified geometric Ornstein-Uhlenbeck process, is investigated. Objective price of such option as a function of the mean and the variance of a geometric Ornstein-Uhlenbeck process is studied.
Yu. Mishura, G. Rizhniak, V. Zubchenko
doaj   +1 more source

Modeling Wind Speed Based on Fractional Ornstein-Uhlenbeck Process

open access: yesEnergies, 2021
The primary task of the design and feasibility study for the use of wind power plants is to predict changes in wind speeds at the site of power system installation.
Sergey Obukhov   +5 more
doaj   +1 more source

European option pricing model with generalized Ornstein–Uhlenbeck process under stochastic earning yield and stochastic dividend yield

open access: yesAdvances in Difference Equations, 2019
This paper aims to examine and establish the models for European option pricing which include parameters of stochastic dividend yield and stochastic earning yield.
N. Phewchean, Y. Wu
doaj   +1 more source

Estimating Drift Parameters in a Fractional Ornstein Uhlenbeck Process with Periodic Mean [PDF]

open access: yes, 2015
We construct a least squares estimator for the drift parameters of a fractional Ornstein Uhlenbeck process with periodic mean function and long range dependence. For this estimator we prove consistency and asymptotic normality.
Dehling, Herold   +2 more
core   +3 more sources

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