Stochastic Data Arrival

Definition

Stochastic data arrival represents the irregular, non-deterministic pattern of trade execution, order book updates, and price dissemination within cryptocurrency markets. Unlike traditional finance, these digital assets exhibit high-frequency bursts of activity driven by fragmented liquidity pools and decentralized exchange protocols. This arrival process follows probability distributions rather than fixed time intervals, necessitating robust quantitative models to capture market microstructure realities.