Real-time computing has a strict rule: correctness means producing the right output within a non-negotiable deadline. General-purpose OSes with their unbounded delays can't make this promise, which is why we rely on systems like the PREEMPT_RT kernel. Before this work, however, critical questions were left to guesswork: "Have we tested long enough?" and "How do we know an even worse latency won't happen in production?"

This talk presents a toolkit that methodically answers these questions by applying Extreme Value Theory (EVT). Just as the Central Limit Theorem describes the behavior of averages, EVT provides the powerful statistical foundation for predicting extreme maximums. We'll show how this tool forecasts performance limits, helps diagnose deep-seated system bugs, and provides immense business value by turning uncertainty into data-backed confidence, enabling robust SLAs and de-risking system deployment.