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Gaussian process
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==Brownian motion as the integral of Gaussian processes== A [[Wiener process]] (also known as Brownian motion) is the integral of a [[White noise#Continuous-time white noise|white noise generalized Gaussian process]]. It is not [[stationary process|stationary]], but it has [[stationary increments]]. The [[Ornstein–Uhlenbeck process]] is a [[stationary process|stationary]] Gaussian process. The [[Brownian bridge]] is (like the Ornstein–Uhlenbeck process) an example of a Gaussian process whose increments are not [[statistical independence|independent]]. The [[fractional Brownian motion]] is a Gaussian process whose covariance function is a generalisation of that of the Wiener process.
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