论文标题
多估McKean-Vlasov随机微分方程的偏差估计值
Deviation estimates for multivalued McKean-Vlasov stochastic differential equations
论文作者
论文摘要
这项工作涉及多估计的McKean-Vlasov随机微分方程的偏差估计。首先,我们通过弱收敛方法证明了它们的大偏差原则。然后,在$ l $衍生的公式的帮助下,向他们展示了中心限制定理。最后,我们为他们建立了适度的偏差原则。
The work concerns deviation estimates for multivalued McKean-Vlasov stochastic differential equations. First of all, we prove the large deviation principle for them by the weak convergence approach. Then the central limit theorem for them is shown with the help of a formula for $L$-derivatives. Finally, we establish the moderate deviation principle for them.