An Investigation of Stretched Exponential Function in Quantifying Long-Term Memory of Extreme Events Based on Artificial Data following Lévy Stable Distribution

Figure 3

Normalized distribution density function as a function of . The return interval for the thresholds (), 2.5 (), 3.0 () for the simulated long-term correlated records with (red symbols). Black symbols represent the rescaled distribution (×10⁻¹) for the corresponding shuffled data with same thresholds.