An approach to stochastic differential equations for long-term forecasting in the presence of -stable noise: an application to gold prices

BD Coulibaly, C Ghizlane… - … Modelling and Numerical …, 2024 - dergipark.org.tr
This article introduces a novel approach to forecasting gold prices over an extended period
by leveraging a sophisticated stochastic process. Departing from traditional models, our …

Time-changed Ornstein–Uhlenbeck process

J Gajda, A Wyłomańska - Journal of Physics A: Mathematical and …, 2015 - iopscience.iop.org
Abstract The Ornstein–Uhlenbeck process is one of the most popular systems used for
financial data description. However, this process has also been examined in the context of …

Stochastic modeling of currency exchange rates with novel validation techniques

G Sikora, A Michalak, Ł Bielak, P Miśta… - Physica A: Statistical …, 2019 - Elsevier
To properly manage market risk industrial companies use tools based on value-at-risk,
which requires proper modeling of future risk factors dynamics. One of the major challenges …

Long-term prediction of the metals' prices using non-Gaussian time-inhomogeneous stochastic process

D Szarek, Ł Bielak, A Wyłomańska - Physica A: Statistical Mechanics and …, 2020 - Elsevier
Stochastic models traditionally used to describe metals' prices have proved not to be
suitable to represent the dynamic behavior and time-related nature of metal markets. Rates …

Stable continuous-time autoregressive process driven by stable subordinator

A Wyłomańska, J Gajda - Physica A: Statistical Mechanics and its …, 2016 - Elsevier
In this paper we examine the continuous-time autoregressive moving average process
driven by α-stable Lévy motion delayed by inverse stable subordinator. This process can be …

Confined random motion with Laplace and Linnik statistics

A Stanislavsky, A Weron - Journal of Physics A: Mathematical …, 2021 - iopscience.iop.org
In this paper we reveal that the conjugate property of Bernstein functions connects the
tempered subdiffusion with the confinement. The interpretation of anomalous diffusion …

Spatio‐Temporal Dependence Measures for Bivariate AR(1) Models with α‐Stable Noise

A Grzesiek, G Sikora, M Teuerle… - Journal of Time Series …, 2020 - Wiley Online Library
Many real phenomena exhibit non‐Gaussian behavior. The non‐Gaussianity is manifested
by impulsive behavior of the real data that can be found in both one‐dimensional and multi …

[PDF][PDF] Fractional lower order covariance based-estimator for Ornstein-Uhlenbeck process with stable distribution

P Kruczek, W Żuławiński, P Pagacz… - Mathematica …, 2019 - bibliotekanauki.pl
The Ornstein-Uhlenbeck model is one of the most popular stochastic processes. It has found
many interesting applications including physical phenomena. However, for many real data …

A 3-component superposed Ornstein-Uhlenbeck model applied to financial stock markets

MC Mariani, PK Asante, OK Tweneboah… - Research in …, 2022 - Taylor & Francis
Understanding stock behaviors not only benefits retail or corporate investors but also helps
governments in tracking the economic growth of their countries. This speaks to the many …

Subordinated continuous-time AR processes and their application to modeling behavior of mechanical system

J Gajda, A Wyłomańska, R Zimroz - Physica A: Statistical Mechanics and its …, 2016 - Elsevier
Many real data exhibit behavior adequate to subdiffusion processes. Very often it is
manifested by so-called “trapping events”. The visible evidence of subdiffusion we observe …