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 …

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 …

Nonlinear least squares estimator for generalized diffusion processes with reflecting barriers

Y Han, D Zhang - Stochastics, 2025 - Taylor & Francis
In this paper, we investigate the parameter estimation problem for generalized diffusion
processes with two-sided reflected barriers. The estimator is obtained using the nonlinear …

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 …

Optimal estimation of the supremum and occupation times of a self-similar Lévy process

J Ivanovs, M Podolskij - Electronic Journal of Statistics, 2022 - projecteuclid.org
In this paper we present new theoretical results on optimal estimation of certain random
quantities based on high frequency observations of a Lévy process. More specifically, we …

Optimal estimation of some random quantities of a L\'evy process

J Ivanovs, M Podolskij - arxiv preprint arxiv:2001.02517, 2020 - arxiv.org
In this paper we present new theoretical results on optimal estimation of certain random
quantities based on high frequency observations of a L\'evy process. More specifically, we …

Local linear estimators for reflected diffusions

D Zhang - Journal of Nonparametric Statistics, 2024 - Taylor & Francis
In this paper, we investigate the nonparametric local linear estimator for the drift function of
reflected stochastic differential equations based on the discretely observed process. Under …

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 …

Nadaraya-Watson estimator for reflected stochastic processes driven by Brownian motions

H Yuecai, Z Dingwen - arxiv preprint arxiv:2205.00141, 2022 - arxiv.org
We study the Nadaraya-Watson (NW) estimator for the drift function of two-sided reflected
stochastic processes. We propose a discrete-type NW estimator and a continuous-type NW …