G-正态分布及其相关问题[EB/OL]
北京:中国科技论文在线
得到了次线性期望空间中定义的分布函数:G-正态分布与经典的概率论中的分布函数:正态分布之间的关系
G-正态分布
本文我们在研读了彭实戈院士自2005年以来有关非线性数学期望的论文基础上
) 摘要: 最近几年彭实戈院士提出的非线性随机理论基础-G-期望、G-布朗运动
次线性期望空间
) Abstract: In this paper we study the academician Peng Shige's papers of the nonlinear expectation since 2005
Under this foundation we interpret some theories and resolve several problems of the theory of G-expectation, our results mainly are given in the form of proposition and theorem in this paper
It is worth mentioning that we get the Theorem 2
2
5 which given an interesting connection between the distribution function defined on the sublinear expectation spaces and the distribution function defined on the classical probability theory space
Keywords: G-expectation; G-normal distribution; sublinear expectation space; viscosity solution; classical probability theory space 下载PDF阅读器 PDF全文下载: 初稿 ( 359 ) 作者简介: YANG Zhi(1985-),Male,Master,Math Finance 通信联系人: 【收录情况】 中国科技论文在线: 杨志
G-期望
超出了著名的前苏联数学家柯尔莫哥洛夫于1933年提出了概率论公理化体系
概率空间 YANG Zhi * ( School of Sciences, China University of Mining and technology, Xuzhou