A reflected Ornstein–Uhlenbeck process is a process that returns continuously and immediately to the interior of the state space when it attains a certain boundary. It is an …
Q Zang, C Zhu - Journal of Mathematical Analysis and Applications, 2016 - Elsevier
Abstract Reflected Ornstein–Uhlenbeck process is a process that returns continuously and immediately to the interior of the state space when it attains a certain boundary. This work …
Abstract Reflected Ornstein-Uhlenbeck process is a process that returns continuously and immediately to the interior of the state space when it attains a certain boundary. It is an …
L Bo, X Yang - Statistics & Probability Letters, 2012 - Elsevier
In this paper, we investigate a sequential maximum likelihood estimator of the unknown drift parameter for a class of reflected generalized Ornstein–Uhlenbeck processes driven by …
H Jiang, Q Yang - Journal of Theoretical Probability, 2022 - Springer
In this paper, we study the asymptotic properties of drift parameter estimations in reflected Ornstein–Uhlenbeck process, and establish their moderate deviations in both cases with …
V Giorno, AG Nobile - Mathematical Biosciences and …, 2023 - aimspress.com
We analyze the transition probability density functions in the presence of a zero-flux condition in the zero-state and their asymptotic behaviors for the Wiener, Ornstein …
S Song, Y Wang - Journal of Applied Probability, 2020 - cambridge.org
We explore the first passage problem for sticky reflecting diffusion processes with double exponential jumps. The joint Laplace transform of the first passage time to an upper level …
Stochastic dynamic models have been extensively used for the description of processes with uncertainties arising in the operations research, behavioral sciences, and many other …
S Song - Journal of Theoretical Probability, 2021 - Springer
In this paper, we consider the one-sided and the two-sided first exit problem for a jump diffusion process with semimartingale local time. Denote this process by X={X_ t, t ≥ 0\} X …