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Point Processes

Status Draft briefPart Mathematical Models

Point processes model random event times and types. Their intensities can depend on time, market state, and prior events.

Central questions

  • What does a conditional intensity predict?
  • When is a Poisson assumption contradicted by clustering or inhibition?
  • How are marks such as side, size, or event type included?

Planned model

Generate homogeneous, state-dependent, and self-exciting arrivals and compare durations, clustering, likelihood, and simulated book consequences.