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Ornstein–Uhlenbeck process

In mathematics, the Ornstein–Uhlenbeck process is a stochastic process with applications in financial mathematics, the physical sciences, and evolutionary biology. Its original application in physics was as a model for the velocity of a massive Brownian particle under the influence of friction. It is named after Leonard Ornstein and George Eugene Uhlenbeck.

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Definition

Fokker–Planck equation representation

Mathematical properties

Numerical simulation

Scaling limit interpretation

Applications

Generalizations

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Ornstein–Uhlenbeck process

Nodes66
Edges65
Triples93
Avg. degree1.97
Density0.030303
Components1

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Ornstein–Uhlenbeck process

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related to External links · 16
Ornstein–Uhlenbeck process → Antonio Dalessandro, Archived, BergMaximum, Calibrating, Damiano Brigo, Fares TrikiSimulating, Interactive Web Application, Jose Carlos Garcia Franco, Matthias Neugebauer, Ornstein, Quantitative Finance, Retrieved, Risk Management, Stochastic Processes, Stochastic Processes Toolkit, Uhlenbeck
related to In physics: noisy relaxation · 11
Ornstein–Uhlenbeck process → Einstein, Gaussian, Hookean, In, Langevin, Ornstein, Rewritten, Stokes, T/k, The Ornstein, Uhlenbeck
related to Scaling limit interpretation · 11
Ornstein–Uhlenbeck process → At, Brownian, Consider, Heuristically, Let, Mark Kac, Ornstein, The Ornstein, Then, This, Uhlenbeck
related to Fokker–Planck equation representation · 8
Ornstein–Uhlenbeck process → Fokker, Gaussian, Green's, Planck, The, The Ornstein, This, Uhlenbeck
related to In financial mathematics · 8
Ornstein–Uhlenbeck process → Marcello Minenna, One, Ornstein, The, The Ornstein, This, Uhlenbeck, Vasicek
related to Numerical simulation · 8
Ornstein–Uhlenbeck process → By, More, Ornstein, OU, Sigma, Theta, To, Uhlenbeck
related to Properties of sample paths · 7
Ornstein–Uhlenbeck process → Doob, Equivalently, Ornstein, Theorem, This, Uhlenbeck, Wiener
related to Generalizations · 6
Ornstein–Uhlenbeck process → Here, It, Lévy, Lévy-driven Ornstein, Uhlenbeck, Wiener
related to In evolutionary biology · 6
Ornstein–Uhlenbeck process → Brownian, Ornstein, OU, The Ornstein, This, Uhlenbeck
related to Higher dimensions · 5
Ornstein–Uhlenbeck process → N-dimensional, N-dimensional Wiener, Ornstein, The, Uhlenbeck

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process displaystyle ornstein uhlenbeck equation gaussian mean model wiener time sigma stochastic theta stationary mu also distribution value differential constant

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SubjectPredicateObjectConfidenceSrc
Ornstein–Uhlenbeck processis astochastic process with applications in financial mathematics0.90text
Ornstein–Uhlenbeck processis aGaussian0.90text
Ornstein–Uhlenbeck processis aexample of a Gaussian process that has a bounded variance and admits a stationary probability distribution0.90text
Ornstein–Uhlenbeck processis aprototype of a noisy relaxation process0.90text
Ornstein–Uhlenbeck processrelated to DefinitionThe Ornstein0.60section
Ornstein–Uhlenbeck processrelated to DefinitionUhlenbeck0.60section
Ornstein–Uhlenbeck processrelated to DefinitionWiener0.60section
Ornstein–Uhlenbeck processrelated to External linksStochastic Processes Toolkit0.60section
Ornstein–Uhlenbeck processrelated to External linksRisk Management0.60section
Ornstein–Uhlenbeck processrelated to External linksDamiano Brigo0.60section
Ornstein–Uhlenbeck processrelated to External linksAntonio Dalessandro0.60section
Ornstein–Uhlenbeck processrelated to External linksMatthias Neugebauer0.60section

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