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20192023
most citedDiscrete-time approximation for backward stochastic differential equations driven by -Brownian motion

1 citations · 2 across the 8 of their papers we have counts for

collaborators

8 papers

math.PR2023

A robust -stable central limit theorem under sublinear expectation without integrability condition

Lianzi Jiang, Gechun Liang

This article relaxes the integrability condition imposed in the literature for the robust -stable central limit theorem under sublinear expectation. Specifically, for $α\in(0,1]…

math.PR2022

A universal robust limit theorem for nonlinear Lévy processes under sublinear expectation

Mingshang Hu, Lianzi Jiang, Gechun Liang +1

This article establishes a universal robust limit theorem under a sublinear expectation framework. Under moment and consistency conditions, we show that, for , the i.i.d…

math.PR2021★ 1 cited

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…

math.OC2021

Discrete-time approximation for stochastic optimal control problems under the -expectation framework

Lianzi Jiang

In this paper, we propose a class of discrete-time approximation schemes for stochastic optimal control problems under the -expectation framework. The proposed schemes are const…

math.NA2020

An Efficient Numerical Method for Forward-Backward Stochastic Differential Equations Driven by -Brownian motion

Mingshang Hu, Lianzi Jiang

In this paper, we study the numerical method for solving forward-backward stochastic differential equations driven by -Brownian motion (-FBSDEs) which correspond to fully non…

math.NA2020

An Effective Discrete Recursive Method for Stochastic Optimal Control Problems

Mingshang Hu, Lianzi Jiang

In this paper, we study the numerical method for stochastic optimal control problems (SOCPs). By reducing the optimal control problem to the discrete case, we derive a discrete sto…

math.NA2019★ 1 cited

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.NA2019

Explicit -Schemes for Solving Anticipated Backward Stochastic Differential Equations

Mingshang Hu, Lianzi Jiang

In this paper, a class of stable explicit -schemes are proposed for solving anticipated backward stochastic differential equations (anticipated BSDEs) which generator not only c…