Relationship between Continuum of Hurst Exponents of Noise-like Time Series and the Cantor Set

MC Mariani, W Kubin, PK Asante, JA Guthrie… - Entropy, 2021 - mdpi.com
In this paper, we have modified the Detrended Fluctuation Analysis (DFA) using the ternary
Cantor set. We propose a modification of the DFA algorithm, Cantor DFA (CDFA), which …

Mouse tracking performance: A new approach to analyzing continuous mouse tracking data

T Meyer, AD Kim, M Spivey, J Yoshimi - Behavior Research Methods, 2024 - Springer
Mouse tracking is an important source of data in cognitive science. Most contemporary
mouse tracking studies use binary-choice tasks and analyze the curvature or velocity of an …

Volatility Analysis of Financial Time Series Using the Multifractal Conditional Diffusion Entropy Method

MC Mariani, W Kubin, PK Asante, OK Tweneboah - Fractal and Fractional, 2024 - mdpi.com
In this article, we introduce the multifractal conditional diffusion entropy method for analyzing
the volatility of financial time series. This method utilizes aq-order diffusion entropy based on …

Methods for mathematical analysis of simulated and real fractal processes with application in cardiology

E Gospodinova, P Lebamovski, G Georgieva-Tsaneva… - Mathematics, 2022 - mdpi.com
In the article, a comparative analysis is performed regarding the accuracy parameter in
determining the degree of self-similarity of fractal processes between the following methods …

Determining the background driving process of the Ornstein-Uhlenbeck model

MC Mariani, PK Asante, W Kubin… - Electronic Journal …, 2023 - ejde-ojs-txstate.tdl.org
In this work, we determine appropriate background driving processes for the 3-component
superposed Ornstein-Uhlenbeck model by analyzing the fractal characteristics of the data …

[PDF][PDF] Multifractal Analysis of Daily US COVID-19 Cases

MC Mariani, W Kubin, PK Asante… - Proceedings of the …, 2021 - researchgate.net
In this work, we applied the multifractal detrended fluctuation analysis (MFDA) to analyze the
highly irregular behavior or volatility clustering of daily COVID-19 cases in the United States …

Volatility Modeling of Time Series Using Fractal and Self-Similarity Models

W Kubin - 2023 - search.proquest.com
The study uses various methods to compare the scaling parameters and long-term memory
behavior of financial and geophysical time series. The Cantor Detrended Fluctuation …

[PDF][PDF] ANALYSIS OF SIMULATED STATIONARY PROCESSES USING THE CDFA

MC MARIANI, P EL, PK TEXAS ASANTE… - huichawaii.org
The Hurst exponent measures a time series' tendency to regress substantially to the mean or
cluster in a certain direction also known as long-memory behavior. The Detrended …