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20122026
most citedIncorporating Lambertian Priors into Surface Normals Measurement

38 citations

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23 papers · 1 filter

math.PR2022★ 8 cited

Solvability of a class of mean-field BSDEs with quadratic growth

Tao Hao, Jiaqiang Wen, Jie Xiong

In this paper, we study the multi-dimensional mean-field backward stochastic differential equations (BSDEs, for short) with quadratic growth. Under small terminal value, the existe…

math.PR2022★ 3 cited

Forward-backward doubly stochastic systems and classical solutions of path-dependent stochastic PDEs

Yufeng Shi, Jiaqiang Wen, Jie Xiong

In this paper, a class of non-Markovian forward-backward doubly stochastic systems is studied. By using the technique of functional Itô (or path-dependent) calculus, the relationsh…

math.PR2019★ 3 cited

The minimum mean square estimator of integrable variables under sublinear operators

Shaolin Ji, Chuiliu Kong, Chuanfeng Sun

In this paper, we study the minimum mean square estimator for non-bounded random variables under sublinear operators. The existence and uniqueness of the minimum mean square estima…

math.PR2018

Exact tail asymptotics for a three dimensional Brownian-driven tandem queue with intermediate inputs

Hongshuai Dai, Dawson A. Donald, Yiqiang Q. Zhao

The semimartingale reflecting Brownian motion (SRBM) can be a heavy traffic limit for many server queueing networks. Asymptotic properties for stationary probabilities of the SRBM…

math.PR2018★ 2 cited

Stationary Distributions for Two-Dimensional Sticky Brownian Motions: Exact Tail Asymptotics and Extreme Value Distributions

Hongshuai Dai, Yiqiang Q. Zhao

In this paper, we consider a two-dimensional sticky Brownian motion. Sticky Brownian motions can be viewed as time-changed semimartingale reflecting Brownian motions, which find ap…

math.PR2018

Mean-field anticipated BSDEs driven by fractional Brownian motion and related stochastic control problem

Soukaina Douissi, Jiaqiang Wen, Yufeng Shi

In this paper, we focus on mean-field anticipated backward stochastic differential equations (MF-BSDEs, for short) driven by fractional Brownian motion with Hurst parameter H>1/2.…

math.PR2017

Maximum principle for a stochastic delayed system involving terminal state constraints

Jiaqiang Wen, Yufeng Shi

We investigate a stochastic optimal control problem where the controlled system is depicted as a stochastic differential delayed equation; however, at the terminal time, the state…

math.PR2017

BSDEs and SDEs with time-advanced and -delayed coefficients

Shiqiu Zheng, Gaofeng Zong

This paper introduces a class of backward stochastic differential equations (BSDEs), whose coefficients not only depend on the value of its solutions of the present but also the pa…

math.PR2016★ 1 cited

Mean-field backward stochastic differential equations driven by fractional Brownian motion

Jiaqiang Wen, Yufeng Shi

In this paper, we focus on the mean-field backward stochastic differential equations (BSDEs) driven by a fractional Brownian motion with Hurst parameter H greater then 1/2. First,…

math.PR2016★ 22 cited

Anticipative backward stochastic differential equations driven by fractional Brownian motion

Jiaqiang Wen, Yufeng Shi

We study the anticipative backward stochastic differential equations (BSDEs, for short) driven by fractional Brownian motion with Hurst parameter H greater than 1/2. The stochastic…

math.PR2016

Stein Type Characterization for -normal Distributions

Mingshang Hu, Shige Peng, Yongsheng Song

In this article, we provide a Stein type characterization for -normal distributions: Let be a sublinear expectati…

math.PR2015★ 1 cited

Convergence rates in precise asymptotics for a kind of complete moment convergence

Lingtao Kong, Hongshuai Dai

In Liu and Lin (Statist. Probab. Letters, 2006), they introduced a kind of complete moment convergence which includes complete convergence as a special case. Inspired by the study…

math.PR2015

Multidimensional BSDEs with uniformly continuous coefficients: the general result

Min Li, Yufeng Shi

In this paper, by introducing a new notion of envelope of the stochastic process, we construct a family of random differential equations whose solutions can be viewed as solutions…

math.PR2015★ 1 cited

Convergence rate in precise asymptotics for Davis law of large numbers

Lingtao Kong

Let be a sequence of i.i.d. random variables with partial sums . Based on the classical Baum-Katz theorem, a paper by Heyde in 1975 initiated the…

math.PR2015

Anticipating backward stochastic Volterra integral equations

Jiaqiang Wen, Yufeng Shi

We introduce and study a new type of integral equations called anticipating backward stochastic Volterra integral equations (anticipating BSVIEs). In these equations the generator…

math.PR2014★ 8 cited

Quasi-continuous random variables and processes under the G-expectation framework

Mingshang Hu, Falei Wang, Guoqiang Zheng

In this paper, we first use PDE techniques and probabilistic methods to identify a kind of quasi-continuous random variables. Then we give a characterization of the -integrable…

math.PR2014

Limit theorems for functionals of Gaussian vectors

Hongshuai Dai, Guangjun Shen, Lingtao Kong

Operator self-similar processes, as an extension of self-similar processes, have been studied extensively. In this work, we study limit theorems for functionals of Gaussian vectors…

math.PR2014

Exact tail asymptotics for a discrete-time preemptive priority queue

Yang Song, Zaiming Liu, Hongshuai Dai

In this paper, we consider a discrete-time preemptive priority queue with different service rates for two classes of customers, one with high-priority and the other with low-priori…

math.PR2013★ 18 cited

Extended Conditional G-Expectations and Related Stopping Times

Mingshang Hu, Shige Peng

In this paper we extend the definition of time conditional G-expectations to a larger domain on which the dynamical consistency still holds. In fact w…

math.PR2013★ 8 cited

Reflected Backward Stochastic Difference Equations and Optimal Stopping Problems under g-expectation

Lifen An, Samuel N. Cohen, Shaolin Ji

In this paper, we study reflected backward stochastic difference equations (RBSDEs for short) with finitely many states in discrete time. The general existence and uniqueness resul…

math.PR2013★ 4 cited

G-Expectation Weighted Sobolev Spaces, Backward SDE and Path Dependent PDE

Shige Peng, Yongsheng Song

We introduce a new notion of G-expectation-weighted Sobolev spaces, or in short, G-Sobolev spaces, and prove that a backward SDEs driven by G-Brownian motion are in fact path depen…

math.PR2012★ 3 cited

Approximation to multifractional Riemann-Liouville Brownian sheet

Hongshuai Dai

In this paper, we first introduce multifrational Riemann-Liouville Brownian sheets. Then, we show a result of approximation in law of the multifractional Riemann-Liouville Brownian…

math.PR2012★ 15 cited

Comparison Theorem, Feynman-Kac Formula and Girsanov Transformation for BSDEs Driven by G-Brownian Motion

Mingshang Hu, Shaolin Ji, Shige Peng +1

In this paper, we study comparison theorem, nonlinear Feynman-Kac formula and Girsanov transformation of the BSDE driven by a G-Brownian motion.