Bounds and limit theorems for a layered queueing model in electric vehicle charging

A Aveklouris, M Vlasiou, B Zwart - Queueing Systems, 2019 - Springer
The rise of electric vehicles (EVs) is unstoppable due to factors such as the decreasing cost
of batteries and various policy decisions. These vehicles need to be charged and will …

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 …

Least squares estimators for reflected Ornstein–Uhlenbeck processes

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 …

Nadaraya-Watson estimators for reflected stochastic processes

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 …

[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 …

Skew Ornstein–Uhlenbeck processes with sticky reflection and their applications to bond pricing

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 …

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 …

Degradation modeling based on a time-dependent Ornstein-Uhlenbeck process and prognosis of system failures

Y Deng - 2015 - theses.hal.science
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 …

First passage times of constant-elasticity-of-variance processes with two-sided reflecting barriers

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 …

On some properties of reflected skew Brownian motions and applications to dispersion in heterogeneous media

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 …