Analyzing Crude Oil Price Fluctuations: A Fractal Perspective

This research article provides a comprehensive examination of crude oil price fluctuations using a novel approach that integrates fractal regression functions and fractal dimension analysis. The fractal regression analysis is currently elaborated method for time series analysis that has been effectively employed in various real-world applications. This approach involves creating a specialized fractal function for a given dataset, enabling the calculation of directional coefficients (indicating tenacity) and fractal coefficients (indicating fluctuations). By leveraging these coefficients, this paper proposed the reconstruction of West Texas Intermediate of crude oil prices in Fractal Regression Function model. Based on the scaling factor, this paper studies the fluctuation characteristics of the crude oil West Texas Intermediate prices. This paper demonstrates that crude oil prices possess fractal characteristics by fractal dimension of fractal regression function analyses on the basis of the monthly yield series.