3 papers
math.PR2021
Weak Solution and Invariant Probability Measure for McKean-Vlasov SDEs with Integrable Drifts
Xing Huang, Shen Wang, Fen-Fen Yang
In this paper, by utilizing Wang's Harnack inequality with power and the Banach fixed point theorem, the weak well-posedness for McKean-Vlasov SDEs with integrable drift is investi…
math.PR2021
Moderate Deviation Principles for Unbounded Additive Functionals of Distribution Dependent SDEs
Panpan Ren, Shen Wang
By comparing the original equations with the corresponding stationary ones, the moderate deviation principle (MDP) is established for unbounded additive functionals of several diff…
math.PR2018
Bernstein type inequalities for self-normalized martingales with applications
Xiequan Fan, Shen Wang
For self-normalized martingales with conditionally symmetric differences, de la Peña [A general class of exponential inequalities for martingales and ratios. Ann. Probab. 27, No.1,…