3 papers
math.OC2025
A BSDE approach to the asymmetric risk-sensitive optimization and its applications
Mingshang Hu, Shaolin Ji, Rundong Xu +1
This paper is devoted to proposing a new asymmetric risk-sensitive criterion involving different risk attitudes toward varying risk sources. The criterion can only be defined throu…
math.NA2024
Discrete-time approximation for backward stochastic differential equations driven by -Brownian motion
Lianzi Jiang, Mingshang Hu
In this paper, we study the discrete-time approximation schemes for a class of backward stochastic differential equations driven by -Brownian motion (-BSDEs) which correspond…
math.PR2024
On the rate of convergence for an -stable central limit theorem under sublinear expectation
Mingshang Hu, Lianzi Jiang, Gechun Liang
In this paper, we propose a monotone approximation scheme for a class of fully nonlinear degenerate partial integro-differential equations (PIDEs) which characterize the nonlinear…