泛函分析框架下论"有效前沿"的存在

文章应用泛函分析理论,构造了随机向量希尔伯特空间,在一定的理论准备下,论证了马科维茨组合选择理论中"有效前沿"的存在.     

多指标随机过程弱对称0－1律

本文证明了多指标平稳随机过程的弱对称０－１律，推广了朱成熹在单指标情形下的有关结果     

NTM方法在非线性贝叶斯动态模型中的应用

将NTM方法应用于非线性贝叶斯动态模型，给出了它的递推公式以及随机变量的数字特征的计算，与蒙特卡洛方法相比提高了效率和精度.     

正项随机级数的收敛性

运用Minkowski不等式和其他不等式,研究了正项随机级数的敛散性,给出了正项随机级数收敛的两个定理,并推广了相关结果.     

生活语言中随机现象考察

本文是系列论文《生活语言中几种有趣的现象》的第三篇。系列论文考察了生活语言中的连环现象、顺带现象、随机现象、成语和术语语素颠倒现象 ,初步研究了这几种现象对于表达和阅读的影响 ,探讨了充分发挥其积极作用、避免其消极作用的办法。本文考察的是随机现象。     

基于MC51简易四位抽奖机的设计

本设计基于AT89C2051单片机为核心,制作一个简易四位抽奖机,共设置四个按键,分别为选择键、停止键、一位抽奖键、四位抽奖键．当按下四位抽奖键时四个数码管同时滚动而且是随机的,当按下停止键后四个数码管同时停止,并且显示0-9的随机数．当按下一位抽奖键时,用停止键来控制个、十、百、千的逐位来抽奖．     

随机变量的函数的数学期望

由“曲线分布密度”的公式φq(y)=∑kφξ(xk)|g‘k(y)|和“曲面分布密度”的公式φξ(z)=∫czφ(g(y,z),y)|g‘z(y,z)|dy，对有函数关系的随机变量η=f（ξ）及ξ=f(ξ，η)的数学期望公式E（η）=∫φ(x)f(x)dx和E（ξ）=∫∫f(x,y)φ(x,y)dxdy给出证明，并给出了若干应用。     

室内风速模拟的一种数值方法

在风力发电技术的研究中,进行室内试验是最有效率的方法,这样就必须模拟实际风场的风,而自然风具有不确定性,难于精准的构造模型.运用非平稳随机过程的方法,建立基于观测数据的非平稳随机过程的数学模型,运用这个模型和康平风场实际观测数据,进行了风速样本模拟.结果表明,采用本方法只需利用少量的风速观测数据就可以很好的模拟自然风.     

Assessing and Controlling Acquiescent Responding When Acquiescence and Content Are Related: A Comprehensive Factor-Analytic Approach

This article proposes procedures for assessing and controlling acquiescence in personality scales when acquiescence is related to the content that the scale intends to measure. Our proposal is comprehensive in that it can be applied to different item response formats fitted with response models that can be parameterized as factor-analytic models. In the calibration stage, our proposal makes joint use of a balanced scale and a set of markers for acquiescence, and consists of 2 sequential procedures: a direct semirestricted solution, and a restricted solution with minimal identification constraints. In the scoring stage, we discuss how the information given by the acquiescence–content relation can be used to obtain Bayes expected a posteriori scores. The robustness of the direct procedure is assessed both analytically and by simulation. A free, user-friendly program that implements the procedures proposed is made available. Practical issues of use and interpretation are discussed and illustrated with an empirical application.     

Domain Coloring and the Argument Principle

Abstract

The domain-coloring algorithm allows us to visualize complex-valued functions on the plane in a single image—an alternative to before-and-after mapping diagrams. It helps us see when a function is analytic and aids in understanding contour integrals. The culmination of this article is a visual discovery and subsequent proof of the Argument Principle, which relates the count of poles and zeros of a meromorphic function inside a contour to the accumulated change in argument of the function around the contour. Throughout, I offer connections to standard learning goals of courses in complex variables.