Self-Exciting Point Process

Algorithm

A self-exciting point process models events where the occurrence of one event increases the probability of future events, particularly relevant in high-frequency trading where order placement can trigger further activity. Within cryptocurrency markets, this translates to observing clustered trade executions following initial large orders, impacting short-term price dynamics and liquidity provision. The process’s intensity function dynamically adjusts based on past occurrences, allowing for the quantification of temporal dependencies in market behavior, and informing strategies focused on momentum capture or volatility arbitrage. Accurate parameter estimation within this framework requires robust statistical techniques to differentiate genuine self-excitation from random clustering.