[HTML][HTML] Asymptotic properties of estimators in a stable Cox–Ingersoll–Ross model
Z Li, C Ma - Stochastic Processes and their Applications, 2015 - Elsevier
We study the estimation of a stable Cox–Ingersoll–Ross model, which is a special subcritical
continuous-state branching process with immigration. The exponential ergodicity and strong …
continuous-state branching process with immigration. The exponential ergodicity and strong …
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 …
reflected stochastic differential equations. The estimates, based on either the continuously …
Small noise fluctuations of the CIR model driven by α-stable noises
C Ma, X Yang - Statistics & Probability Letters, 2014 - Elsevier
The central limit theorems, the deviation inequality (and large deviation), and the moderate
deviations for least squares estimators of parameters in the CIR type model driven by α …
deviations for least squares estimators of parameters in the CIR type model driven by α …
Quantifying model uncertainty in dynamical systems driven by non-Gaussian Lévy stable noise with observations on mean exit time or escape probability
Complex systems are sometimes subject to non-Gaussian α-stable Lévy fluctuations. A new
method is devised to estimate the uncertain parameter α and other system parameters …
method is devised to estimate the uncertain parameter α and other system parameters …
Nonparametric estimation of the trend for stochastic differential equations driven by small α-stable noises
X Zhang, H Yi, H Shu - Statistics & Probability Letters, 2019 - Elsevier
The present paper deals with the problem of nonparametric estimation of the trend for
stochastic differential equations driven by small α-stable noises based on continuous-time …
stochastic differential equations driven by small α-stable noises based on continuous-time …
Maximum likelihood type estimation for discretely observed CIR model with small α-stable noises
X Yang - Statistics & Probability Letters, 2017 - Elsevier
Maximum likelihood type estimation for discretely observed CIR model with small α-stable noises -
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Parameter Estimation for Some Discretely Observed Class of Stable Driven Stochastic Differential Equations
SM Manou-Abi - Journal of the Indian Society for Probability and …, 2024 - Springer
In this paper, we consider the problem of parameter estimation for a real stochastic model
observed at some discrete times, that is a solution of a stochastic differential equation driven …
observed at some discrete times, that is a solution of a stochastic differential equation driven …
Local linear estimator for stochastic differential equations driven by α-stable Lévy motions
ZY Lin, YP Song, JS Yi - Science China Mathematics, 2014 - Springer
We study the local linear estimator for the drift coefficient of stochastic differential equations
driven by α-stable Lévy motions observed at discrete instants. Under regular conditions, we …
driven by α-stable Lévy motions observed at discrete instants. Under regular conditions, we …
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 …
stochastic processes. We propose a discrete-type NW estimator and a continuous-type NW …
Parameter estimation for a class of stable driven stochastic differential equations
S Manou-Abi - 2023 - hal.science
In this paper, we consider parameter estimation for a stochastic process observed at some
discrete times that is a solution of a given class of stochastic differential equations driven by …
discrete times that is a solution of a given class of stochastic differential equations driven by …