Parametric random processes are processes specified using a few parameters. They provide standard models for a variety of areas, including finance (interest rates, …), insurance (claims process, …), and physics (radioactive decay, …). The Wolfram Language provides complete support for working with parametric random processes. The symbolic representation of a process makes it easy to simulate its behavior, estimate parameters from data, and compute state probabilities at different times. There is a full suite of standard properties, including state distributions at different times as well as mean and covariance functions.
RandomWalkProcess — random walk on infinite lattice
PoissonProcess — Poisson counting process
WienerProcess — integrated Gaussian white noise
OrnsteinUhlenbeckProcess ▪ BrownianBridgeProcess ▪ GeometricBrownianMotionProcess ▪ CoxIngersollRossProcess ▪ FractionalBrownianMotionProcess ▪ FractionalGaussianNoiseProcess ▪ CompoundPoissonProcess ▪ CompoundRenewalProcess ▪ TransformedProcess