An Advanced Self-similarity Measure: Average of Level-Pairwise Hurst Exponent Estimates (ALPHEE).

Many natural processes are characterized by complex patterns of self-similarity, where repetitive structures occur across different resolutions. The Hurst exponent is a key parameter used to quantify this self-similarity. While wavelet-based techniques are effective in estimating the Hurst exponent, their performance can be compromised by noise, outliers, and modeling assumptions.