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Parametric Random Processes—Wolfram Language Documentation

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• Functions
  • BernoulliProcess
  • BinomialProcess
  • BrownianBridgeProcess
  • CompoundPoissonProcess
  • CompoundRenewalProcess
  • CoxIngersollRossProcess
  • FractionalBrownianMotionProcess
  • FractionalGaussianNoiseProcess
  • GeometricBrownianMotionProcess
  • InhomogeneousPoissonProcess
  • OrnsteinUhlenbeckProcess
  • PoissonProcess
  • RandomWalkProcess
  • RenewalProcess
  • TelegraphProcess
  • TransformedProcess
  • WhiteNoiseProcess
  • WienerProcess
• Related Guides
  • Random Processes
  • Random Variables
  • Probability & Statistics

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

BernoulliProcess  ▪  WhiteNoiseProcess  ▪  BinomialProcess  ▪  RenewalProcess  ▪  CompoundRenewalProcess  ▪  TransformedProcess

WhiteNoiseProcess  ▪  CompoundRenewalProcess  ▪  TransformedProcess

PoissonProcess — Poisson counting process

InhomogeneousPoissonProcess  ▪  TelegraphProcess  ▪  CompoundPoissonProcess  ▪  RenewalProcess  ▪  CompoundRenewalProcess  ▪  TransformedProcess

WienerProcess — integrated Gaussian white noise

OrnsteinUhlenbeckProcess  ▪  BrownianBridgeProcess  ▪  GeometricBrownianMotionProcess  ▪  CoxIngersollRossProcess  ▪  FractionalBrownianMotionProcess  ▪  FractionalGaussianNoiseProcess  ▪  CompoundPoissonProcess  ▪  CompoundRenewalProcess  ▪  TransformedProcess

▪
• Random Processes
▪
• Random Variables
▪
• Probability & Statistics

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