: Used to change probability measures, a vital step in risk-neutral pricing for options. Real-World Applications
: Generalizes the Poisson process by allowing jumps of random sizes. Levy processes and stochastic calculus
: The statistical properties of an increment depend only on the length of the time interval, not when it occurred. : Used to change probability measures, a vital
: The classic continuous Lévy process used in the Black-Scholes model. : Used to change probability measures
: Changes in the process over non-overlapping time intervals do not influence each other.