Poisson process

Dependencies:

  1. Counting process
  2. Poisson distribution

A poisson process with parameter $\lambda$ is a counting process $\{N(t): t \ge 0\}$ with independent and stationary increments such that $N(t) \sim \operatorname{Poisson}(\lambda t)$.

Dependency for: None

Info:

Transitive dependencies:

  1. /analysis/topological-space
  2. /sets-and-relations/countable-set
  3. /sets-and-relations/de-morgan-laws
  4. σ-algebra
  5. Generated σ-algebra
  6. Borel algebra
  7. Measurable function
  8. Generators of the real Borel algebra (incomplete)
  9. Measure
  10. σ-algebra is closed under countable intersections
  11. Probability
  12. Conditional probability (incomplete)
  13. Independence of events
  14. Independence of composite events
  15. Random variable
  16. Independence of random variables (incomplete)
  17. Counting process
  18. Series expansion for e^x (incomplete)
  19. Poisson distribution