Asymptotic behaviour of the trajectory fitting estimator for reflected Ornstein–Uhlenbeck processes

Q Zang, L Zhang - Journal of Theoretical Probability, 2019 - Springer
Abstract The Ornstein–Uhlenbeck process with reflection, which has been the subject of an
enormous body of literature, both theoretical and applied, is a process that returns …

A general lower bound of parameter estimation for reflected Ornstein–Uhlenbeck processes

QP Zang, LX Zhang - Journal of Applied Probability, 2016 - cambridge.org
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 …

[HTML][HTML] Asymptotic behaviour of parametric estimation for nonstationary reflected Ornstein–Uhlenbeck processes

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 …

Parameter estimation for generalized diffusion processes with reflected boundary

QP Zang, LX Zhang - Science China Mathematics, 2016 - Springer
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 …

Sequential maximum likelihood estimation for reflected generalized Ornstein–Uhlenbeck processes

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 …

Moderate deviations for drift parameter estimations in reflected Ornstein–Uhlenbeck process

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 …

[PDF][PDF] Exact solutions and asymptotic behaviors for the reflected Wiener, Ornstein-Uhlenbeck and Feller diffusion processes

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 …

On first passage times of sticky reflecting diffusion processes with double exponential jumps

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 …

Reflecting stochastic dynamics of active-passive populations with applications in operations research and neuroscience

TKT Thieu, R Melnik - arXiv preprint arXiv:2102.07766, 2021 - arxiv.org
Stochastic dynamic models have been extensively used for the description of processes with
uncertainties arising in the operations research, behavioral sciences, and many other …

Some Explicit Results on First Exit Times for a Jump Diffusion Process Involving Semimartingale Local Time

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 …