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 …
H Yuecaia, Z Dingwen - Communications in Statistics-Theory and …, 2024 - Taylor & Francis
In this article, we investigate the parameter estimation problem for reflected Ornstein– Uhlenbeck processes with mean reversion. Both estimates based on either continuously or …
Y Han, D Zhang - Acta Mathematica Scientia, 2024 - Springer
Abstract We study the Nadaraya-Watson estimators for the drift function of two-sided reflected stochastic differential equations. The estimates, based on either the continuously …
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 …
S Song, G Xu - Journal of Applied Probability, 2024 - cambridge.org
We study a skew Ornstein–Uhlenbeck process with zero being a sticky reflecting boundary, which is defined as the weak solution to a stochastic differential equation (SDE) system …
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 …
This thesis is dedicated to describe, predict and prevent system failures. It consists of four issues: i) stochastic degradation modeling, ii) prognosis of system failures, iii) failure level …
L Bo, C Hao - Journal of Applied Probability, 2012 - cambridge.org
In this paper we explore the first passage times of constant-elasticity-of-variance (CEV) processes with two-sided reflecting barriers. The explicit Laplace transforms of the first …
S Song, S Wang, Y Wang - Physica A: Statistical Mechanics and its …, 2016 - Elsevier
Motivated by the close connection between the skew Brownian motion and the random particle motion in heterogeneous media, we investigate the reflected skew Brownian motion …