Department of Probability and Statistics 's publications

2024

On the Baum–Katz theorem for randomly weighted sums of negatively associated random variables with general normalizing sequences and applications in some random design regression models. Stat Papers. 2024;65. doi:https://doi.org/10.1007/s00362-023-01483-4. .
Caputo fractional stochastic differential equations: Lipschitz continuity in the fractional order. ArXiv. 2024. doi: https://doi.org/10.48550/arXiv.2412.19965.
Exponentially Bounded C-semigroup and the Cauchy Initial Value Problems in Complete Random Normed Modules. Acta Mathematica Sinica, English Series, 1-18. 2024.
Rate of convergence in the Smoluchowski-Kramers approximation for mean-field stochastic differential equations. Potential Analysis 60 (3), 1031-1065. 2024.
On the regularity of generalized random spectral measures and their applications. Kyushu Journal of Mathematics . 2024;78(1).
Strong law for randomly weighted sums of WOD random variables and application to nonparametric regression models. Journal of Nonparametric Statistics. 2024.

2023

On the convergence for weighted sums of Hilbert-valued coordinatewise pairwise NQD random variables and its application. Communications in Statistics-Theory and Methods . 2023;52(23). doi:https://doi.org/10.1080/03610926.2022.2062604.
Lipschitz continuity in the Hurst index of the solutions of fractional stochastic Volterra integro-differential equations. Stochastic Analysis and Applications . 2023;41(4).
The Total Variation Distance Between the Solutions to Stochastic Volterra Equations and SDEs with Its Applications. Acta Applicandae Mathematicae . 2023;186(1).

2022

Weak convergence of delay SDEs with applications to Carathéodory approximation. Discrete & Continuous Dynamical Systems - B . 2022;27(9). doi: https://doi.org/10.48550/arXiv.2109.01811.