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