Ornstein-Uhlenbeck process is used for exploration in the continuous domain, and it is a stochastic process which has mean-reverting properties.
Alexandridis, "Weather derivatives pricing: modeling the seasonal residual variance of an
Ornstein-Uhlenbeck temperature process with neural networks," Neurocomputing, vol.
Recent experimental results have questioned the archetypical
Ornstein-Uhlenbeck model, as they have shown some departures from standard predictions of persistent random motion paradigm based on a free Brownian particle driven by a drag Stokes's force, as well as by a random force due to molecule thermal motion.
Section 3 discusses some applications to diffusion, which include Brownian motion with drift, geometric Brownian motion, and the
Ornstein-Uhlenbeck process.
Wylomanska, "Subordinated [alpha][alpha]- stable
Ornstein-Uhlenbeck process as a tool for financial data description," Physica A: Statistical Mechanics and its Applications, vol.
References [17, 18] discussed the first three moments of homogeneous portfolios of life insurance and endowment policies by modeling the force of interest directly based on the Wiener process or the
Ornstein-Uhlenbeck process and [19] also generalized these results to heterogeneous portfolios.
Under the assumption that volatility of the underlying asset obeys a fast mean-reverting
Ornstein-Uhlenbeck process, we study the pricing problem of the collar option by singular perturbation analysis.
The study was conducting by starting with reviewing the literature regarding the Brownian motion, Wiener process, Ito process,
Ornstein-Uhlenbeck process and reaching the random walk theory.
Ramaswany and Nelson (1990) propose a method that approximates the discrete continuous
Ornstein-Uhlenbeck model using a recombinant binomial tree.
As we aim for a model of wind infeed over time, the results above suggest to model deseasonalized logit wind power efficiency as an
Ornstein-Uhlenbeck process, which is stationary normally distributed.
At first we simulated an
Ornstein-Uhlenbeck process solution of the stochastic differential equation
This paper contributes to the expositions on theoretical and practical aspects of parameter estimation for long-memory stochastic volatility which follows a fractional
Ornstein-Uhlenbeck process.