Moderately Heavy Extreme Values under Extreme Long Range Dependence

Key Points

• The study investigates stationary sequences with subexponential tails, focusing on their extreme value behaviors.
• Findings indicate that extreme values arise from multiple significant values clustered together due to long range dependence.
• Functional extremal limit theorems are established to characterize these phenomena with non-Gumbel objects.
• The results enrich our understanding of dependencies in extreme values through fractal analysis and limit theorems.