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G-可料过程的It?积分

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可料过程是一种重要的随机过程.本文利用非线性随机分析理论方法,提出了 G-可料过程的定义,拟发展次线性期望框架下的可料过程及其相关随机积分,探究了 G-可料过程关于G-布朗运动以及G-布朗运动二次变差的Itô积分,得到了与其相关的若干性质.
The It? Integral of G-Predictable Processes
G-predictable process is an important random process.This paper proposes the definition of G-predictable processes using methods from nonlinear stochastic analysis theory,aiming to develop G-predictable processes and their related stochastic integrals within a sublinear expectation framework.This paper explores the Itô integral of G-predictable processes with respect to G-Brownian motion and the quadratic variation of G-Brownian motion.Further-more,it examines several related properties are also examined

sublinear expectationG-predictable processItô integral

陈焘、康元宝、李悦

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重庆师范大学数学科学学院,重庆 401331

次线性期望 G-可料过程 Itô积分

重庆市自然科学基金项目

cstc2019jcyjmsxmX0146

2024

长春师范大学学报
长春师范学院

长春师范大学学报

CHSSCD
影响因子:0.312
ISSN:1008-178X
年,卷(期):2024.43(6)