Analysis of Stochastic SIRC Model with Cross Immunity Based on Ornstein-Uhlenbeck Process. [PDF]
Ni Z, Jiang D, Cao Z, Mu X.
europepmc +1 more source
First Hitting Place Probabilities for a Discrete Version of the Ornstein-Uhlenbeck Process
A Markov chain with state space {0,…,N} and transition probabilities depending on the current state is studied. The chain can be considered as a discrete Ornstein-Uhlenbeck process. The probability that the process hits N before 0 is computed explicitly.
Mario Lefebvre, Jean-Luc Guilbault
doaj +1 more source
Application of Kalman Filter to Stochastic Volatility Models of the Orstein‑Uhlenbeck Type
Barndorff‑Nielsen and Shephard (2001) proposed a class of stochastic volatility models in which the volatility process is the Ornstein‑Uhlenbeck process driven by a Levy process without gaussian component.
Piotr Szczepocki
doaj +1 more source
Stationary distribution of a reaction-diffusion hepatitis B virus infection model driven by the Ornstein-Uhlenbeck process. [PDF]
Zhang Z, Liang G, Chang K.
europepmc +1 more source
Exact solution for the Anisotropic Ornstein-Uhlenbeck process. [PDF]
de Almeida RMC +4 more
europepmc +1 more source
Time Scale Transformation in Bivariate Pearson Diffusions: A Shift from Light to Heavy Tails
Heavy-tailed Pearson diffusions provide a natural alternative to well-known Ornstein–Uhlenbeck and Cox–Ingersoll–Ross processes in applications that require addressing heavy-tailed behavior.
Nenad Šuvak
doaj +1 more source
Asymptotic Exponential Arbitrage in the Schwartz Commodity Futures Model
In this paper, we consider the Schwartz’s one-factor model for a storable commodity and a futures contract on that commodity. We introduce the analysis of asymptotic arbitrage in storable commodity models by proving that the futures prices process allows
Tesfamariam Tadesse Welemical +2 more
doaj +1 more source
Relationship between Age and Value of Information for a Noisy Ornstein-Uhlenbeck Process. [PDF]
Wang Z, Badiu MA, Coon JP.
europepmc +1 more source
Random attractors for stochastic lattice reversible Gray-Scott systems with additive noise
In this article, we prove the existence of a random attractor of the stochastic three-component reversible Gray-Scott system on infinite lattice with additive noise.
Hongyan Li, Junyi Tu
doaj
On valuing corporate debt with the volatility of corporate assets evolving according to an Ornstein-Uhlenbeck process [PDF]
In this paper the problem of valuing corporate debt with possibility of default is considered. It is assumed that the volatility of the value of a firm's assets evolves according to an Ornstein-Uhlenbeck process and default occurs only if the value of ...
Bakhodir Ergashev
core

