非高斯型互相关随机数的发生技术

在用蒙特卡罗法进行仿真研究（例如进行测量不确定度评定）时,常常需要发生多个非高斯型互相关的随机数.就这一问题,给出完整的解决方案：用Hermite展开式生成近似的非高斯变量,借助Cholesky分解建立各变量之间的相关性.方法的关键在于对互相关系数矩阵进行“预变形”,使Cholesky分解也适用于非高斯变量.此外,还利用Cholesky分解式下三角矩阵的特点,对矩调整和建立相关性两个过程进行解耦.给出了详细的算法说明.     

Carathéodory系统解的存在性

将Carathéodory系统转化为Kurzweil广义常微分方程,利用已知的Kurzweil广义常微分方程解的存在性理论讨论了Carathéodory系统解的存在性.     

What can we learn from the fifties?

Economists have increasingly elicited probabilistic expectations from survey respondents. Subjective probabilistic expectations show great promise to improve the estimation of structural models of decision making under uncertainty. However, a robust finding in these surveys is an inappropriate heap of responses at “50%,” suggesting that some of these responses are uninformative. The way these 50s are treated in the subsequent analysis is of major importance. Taking the 50s at face value will bias any aggregate statistics. Conversely, deleting them is not appropriate if some of these answers do convey some information. Furthermore, the attention of researchers is so focused on this heap of 50s that they do not consider the possibility that other answers may be uninformative as well. This paper proposes to take a fresh look at these questions using a new method based on weak assumptions to identify the informativeness of an answer. Applying the method to probabilistic expectations of equity returns in three waves of the Survey of Economic Expectations in 1999–2001, I find that: (i) at least 65% of the 50s convey no information at all; (ii) it is the answer most often provided among the answers identified as uninformative; (iii) but even if the 50s are a major contributor to noise, they represent at best 70% of the identified uninformative answers. These findings have various implications for survey design.     

关于电子自旋不是一种经典模型

本文通过两种方法证明电子自旋不是一种经典模型。     

基于系统工程的系统分类法及应用

首先叙述了一般文献中对系统的分类，然后对钱学森为首的一批知名学者关于系统的人和了介绍。详细地讨论了Ｓｈｅｎｈａｒ和Ｂｏｎｅｎ对系统的二维分类法，并同钱学森的系统分类法进行联系，根据２－Ｄ分类法，提出了系统开发的三维结构，最后对其应用实例进行了说明。     

二阶线性中立型有界时滞微分方程非振动解的存在性

研究一类二阶线性中立型有界时滞微分方程非振动解的存在性问题，建立非振动解存在的判定准则。     

经验过程的欧拉弱大数定律

得到了经验过程的一般加权和的对称化不等式及欧拉加权系数的性质．利用这个对称化不等式及欧拉加权系数的性质，研究了经验过程中的独立同分布随机元序列的欧拉可求和性，得到了经验过程的欧拉弱大数定律成立的充分条件（Ｅｆ（Ｘ）２Ｇ＜∞），建立了实值情形下的结果在经验过程中的相应形式．     

Best tracking performance for integrator and dead time plant

The optimal tracking performance for integrator and dead time plant in the case where plant uncertainty and control energy constraints axe to be considered jointly is inrestigated.Firstly,an average cost function of the tracking error and the plant input energy over a class of stochastic model errors are defined.Then,we obtain an internal model controller design method that minimizes the average performance and further studies optimal tracking performance for integrator and dead time plant in the simultaneous presence of plant uncertainty and control energy constraint.The results can be used to evaluate optimal tracking performance and control energy in practical designs.     

Kurzweil积分的分部积分公式

给出了Ｋｕｒｚｗｅｉｌ积分分部积分公式的一般形式．     

师专普通物理实验教学中不确定度的讨论

论述了不确定度在普通物理实验教学中的可行性及计算。