| 1. | Convergence theorem for set - valued conditional expectation
关于集值条件期望的收敛性 |
| 2. | Convergence theorems for set - valued conditional expectations
集值条件期望的收敛定理 |
| 3. | Conditional expectation ; random independence ; weak association
条件期望随机独立性弱关联 |
| 4. | Field ; conditional expectation ; prime set
-域条件期望质集 |
| 5. | By using conditional moment generating functions and differentiation of measures on a net , some limit theorems and a class of deviation theorems of multivariate function sequences of arbitrary random variables ralated to the conditional expectations are obtained
本论文利用条件矩母函数和网微分法，得到任意随机变量多元函数序列相对于条件期望的偏差定理和极限定理。 |
| 6. | So far , bsdes have 2 types : one is ito integral type bsde driven by brown motion which come directly from stochastic control and it is applied to financial problem later ; the other is bsde with conditional expectation which come directly from financial problem
)型倒向随机微分方程，直接源自于随机控制的研究，后来被应用于金融问题的研究；第二类是带有条件期望的倒向随机微分方程，它直接源自于金融问题的研究。 |
| 7. | By means of conditional expectation , the compactness of weighted composition operators is described and the matrix expressions of a special class of weighted composition operators are given , from which it is known that this kind of weighted composition operators is a class of weighted shift operators in nature
摘要利用条件期望刻划加权复合算子的紧性，给出一类特殊加权复合算子的矩阵表示；说明这一类加权复合算子本质上就是加权移位算子。 |
| 8. | The chapter 2 , introduce the concept of rational expectations , at first give the rational expectations definition , the rational expectations hypothesis asserts to the special economic variable , people ' s subjective distribution are equate to substantial distribution , in fact , the hypothesis assume people know real models ( the system of data production ) , so it shortened the learn process
第二章是理性预期概念的引入。首先给出了理性预期的定义，即理性预期该假说认为对经济变量而言，人们的主观概率分布和真实的概率分布相等，因此可以以真实条件期望代替主观期望。实际上，它假定人们知道真实的模型(数据生成的机制) 。 |
| 9. | Some limit properties of sequences of arbitrary b - valued random variables are studied by using truncation methods of random variables and conditional three series theorem , a class of strong limit theorems and convergence theorems for martingale difference sequences related to the conditional expectations are obtained , and some conclusions corresponding to these and some classical strong laws of large numbers are generalized
摘要利用随机变量的截尾方法和条件三级数定理，研究任意b值随机变量序列的极限性质，得到了一类关于条件期望的强极限定理和鞅差序列收敛定理，推广了与此相应的一些结果和若干经典的强大数定律。 |
