MathematicsOptionalMTH-STOCH-339

Poisson Processes

properties, thinning, superposition, applications

Difficulty
4 / 5
Importance
5 / 5
Study time
6.5–12 h
Kind of work
Theory

Why it matters

Mathematics of random processes evolving over time; essential for finance, ML, statistical physics, communications and queuing.

Where it is used

Options pricing, queue systems, recommendation algorithms, particle physics detection, noise in engineering systems.

How you know you have learned it

Explain/derive key result from memory + solve 2 non-routine checks.

Resources

  • Probability and Random Processes (Grimmett & Stirzaker) — Grimmett & Stirzaker Book

The route to this topic

Route MTH-STOCH-339