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数学期望的性质在新高考中的应用
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作者 陈腾 《数理化解题研究》 2024年第31期100-102,共3页
从2020年新高考以来,有多道试题涉及数学期望的线性性质.文章将介绍数学期望的线性性质在高考试题中的应用.
关键词 数学期望性质 高考 随机变量
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代数不等式的概率证明方法
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作者 刘杰 胡太忠 庄玮玮 《高等数学研究》 2023年第1期21-24,27,共5页
本文讨论了三种概率性质在代数不等式证明中的应用,阐述了如何针对不等式的特点构造随机事件和随机变量,运用概率强可加性、方差非负性、期望线性性质进行不等式证明,同时结合实例展示了证明过程和技巧.
关键词 概率强可加性 方差非负性 期望线性性质 不等式
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由一道调研试题引发的深度探究
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作者 翟洪亮 《中学数学教学》 2022年第5期51-54,共4页
由于受到江苏省南通市如皋调研试卷20题启发,联想到2020年高考数学江苏理科卷的23题,对试题进行分析,发现可通过矩阵给出别解,并将试题拓展到一般情形,使其蕴涵的期望性质得以呈现.
关键词 递推数列 数学期望 矩阵 期望性质
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Approximation Properties of a Special Class of Mathematical Expectation Operators
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作者 陈历敏 《Chinese Quarterly Journal of Mathematics》 CSCD 1997年第2期62-69, ,共8页
In this paper we study the local measure of approximation of a class of special mathematical expectation operators to Lipschitz class of functions by probabilistic method. The some well known operators (e. g., the Ber... In this paper we study the local measure of approximation of a class of special mathematical expectation operators to Lipschitz class of functions by probabilistic method. The some well known operators (e. g., the Bernstein, Bascakov and Szasz-Mirakjan operators etc) are special cases of a class of the mathematical expetation operators. 展开更多
关键词 OPERATOR degree of approximation Lipschitz class of functions
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Some properties on G-evaluation and its applications to G-martingale decomposition 被引量:21
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作者 SONG YongSheng 《Science China Mathematics》 SCIE 2011年第2期287-300,共14页
In this article, a sublinear expectation induced by G-expectation is introduced, which is called G- evaluation for convenience. As an application, we prove that for any ξ∈ L β G (Ω T ) with some β > 1 the mart... In this article, a sublinear expectation induced by G-expectation is introduced, which is called G- evaluation for convenience. As an application, we prove that for any ξ∈ L β G (Ω T ) with some β > 1 the martingale decomposition theorem under G-expectaion holds, and that any β > 1 integrable symmetric G-martingale can be represented as an Ito integral w.r.t. G-Brownian motion. As a byproduct, we prove a regularity property for G-martingales: Any G-martingale {M t } has a quasi-continuous version. 展开更多
关键词 G-EXPECTATION G-evaluation G-martingale decomposition theorem
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