鞅

In chapter 2 the strong deviation theorems for functions of series of discrete random variables are given. Here we construct a moment generating function and a convergent martingale .

本文第二章用矩母函数构造一收敛鞅，利用截尾法和单调函数的性质，证明了离散型随机变量序列泛函的强偏差定理。

By defining ε-hedging strategy, applying duality principle of linear programming and martingale measure theory, we present a kind of calculation method for the seller's arbitrage price and the buyer's arbitrage price of capital asset in finite security market.

在定义ε-套期保值策略的基础上，采用线性规划对偶原理和鞅测度理论，给出了有限证券市场资本资产的卖方套利价格和买方套利价格的计算方法。

At present, the main way to solve this problem is dynamic programming method and martingale method.

目前解决这一问题的主要方法是动态规划和鞅方法。

To solve this kind of problem, the dynamic programming method and martingale method are two main method.

目前解决这一问题的主要方法是动态规划方法和鞅方法。

There are so many similarities between the new class of RH〓 and the class A〓, it is to be expected, therefore, that the Jones'factorization theorem for A〓 weights might be extended to include some information about the reverse H〓1der classes via those results concerning RH〓-weights, and we do it.

具体地说，就是借助于极小算子定义了RH〓算子，类似于A〓权的分解，我们对RH〓权的结构做了细致的刻划；第四、我们定义了一类新的算子—几何极小算子并致力于把A〓权的结果推广到鞅论上。

Advanced course covering topics selected from: semimartingale theory, stochastic integrals, homogeneous chaos expansions, stochastic differential equations, Malliavin calculus, infinite dimensional processes, functional central limit theorems, Feynman-Kac formula, Feynman integral.

随机分析：高级课程，包括：半鞅理论，随机积分，齐次混沌展开，随机差分方程， Malliavin 微积分，，有限维过程，泛函中心极限理论， Feynman-Kac公式， Feynman积分，过滤理论的应用，无限粒子系统，量子力学，神经学中的随机模型。

It is an important application of vector-valued treemartingales in Fourier analysis,an expansion of well-known Carleson\'s theorem.

这是树鞅在Fourier分析中的一个重要应用。

Then, we briefly introduce some fundamental knowledge of measure transformation.

传统的等价鞅测度只是我们这个理论的一个特例。

The generalized spectral density and its derivative can be used to capture various specific aspects of serial dependence.

广义谱密度和它的导数还可以被用来检验序列相依的各个方面，例如鞅差，条件同方差性，条件对称性，和条件等峰度性等。

In this thesis,we mainly study theatomic decomposition and its application in vector-valued harmonic analysis.

本文主要研究向量值Vilenkin鞅空间的原子分解及其在向量值调和分析中的应用。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。