Testing stationarity of the detrended price return in stock markets

K Arias-Calluari, MN Najafi, MS Harré, Y Tang… - Physica A: Statistical …, 2022 - Elsevier
This paper proposes a generalized porous media equation with drift as the governing
equation for stock market indexes. The proposed governing equation can be expressed as a …

Approximate controllability for a class of stochastic impulsive evolution system with infinite delay involving the fractional substantial derivative

W Chen, Y Liu, D Zhao - Chaos, Solitons & Fractals, 2024 - Elsevier
This paper is concerned with a class of stochastic impulsive evolution system with the
fractional substantial derivative of the order α∈(1, 2). We introduce the fractional substantial …

[PDF][PDF] Custom analysis through nth order Gaussian noise

MY Hmood, AH Hamza - Int. J. Agricult. Stat. Sci. Vol, 2021 - researchgate.net
In this paper, multivariate fractional Brownian motion was used for modeling and predicting
the Custom data and analyzed using discrete wavelet through the variance of the stochastic …

Brownian Motion in Shares of Bank

K Suganthi, G Jayalalitha - … Intelligence to Socio-scientific Analytics and …, 2023 - Springer
This paper is to determine and predict the fluctuation in the yearly and forecast of a bank in
the stock market. The smoothened price, un Smoothened price and the trend estimation for …

Bayesian inference of fractional brownian motion of multivariate stochastic differential equations

QN Nauef Al-Qazaz, AH Ali - International Journal of Nonlinear …, 2022 - ijnaa.semnan.ac.ir
There have been much interest in analysis of stochastic differential equation with long
memory, represented by fractional diffusion process, this property have been proved itself in …

Stationarity of the detrended price return in stock markets

K Arias-Calluari, M Najafi, MS Harré… - arXiv preprint arXiv …, 2019 - arxiv.org
This paper proposes a governing equation for stock market indexes that accounts for non-
stationary effects. This is a linear Fokker-Planck equation (FPE) that describes the time …