多维分布函数的不相关耦合

设F(x_1,…,x_n),G(y_1,…,y_m)分别为n维与m维分布函数。若n+m维分布函数置(x_1,…,x_n,y_1,…,y_m)以F与G为边际分布,则称H为F与G的耦合。若H=FG,称H为独立耦合。若二阶矩存在,且对一切i,j,∫x_iy_jdH-∫y_jdG=0,称H为不相关耦合。本文给出了给定F与G时,存在它们的不相关又非独立的耦合的充要条件。     

电液伺服系统的参数自适应控制

本文针对电液伺服系统的特点,在极——零点配置的基础上提出一种形式简单、运算量小并适用于非最小相位系统的自适应控制算法,克服了一般极——零点配置自校正调节器实用上的困难。仿真与实验证明,用这种算法控制的电液伺服系统具有良好的动态及自适应性能。     

Function approximation for incompletely specified regression models

This report extends earlier work by Brailovsky on regression theory and methodology, giving particular emphasis to function approximation for incompletely specified models. The interest here is with situations where the form of the regression relation is not known in advance. We discuss several difficulties that arise in using local approximation and linear regression methods, and propose ways to overcome these problems. To aid the data analyst in developing a suitable model, an illustrative table is derived for determining the number of initial explanatory functions justifiable for a given prespecified confidence level. The general approach formulated here is illustrated with an application to medical data. Relevance to classification and possible extensions are discussed.     

阿氏公式参数估计方法的分析与改进

对于阿维里扬诺夫潜水蒸发公式的参数估计问题,本文提出两种新的解法,即模拟相关分析法和解析法,经与传统的作图相关法相比较,表明两种新方法都是可行的,尤以模拟相关分析法最为可靠和方便。     

STRONG CONSISTENCY OF M-ESTIMATES OF MULTIPLE REGRESSION COEFFICIENTS

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CORRECTION NYSTROM SOLUTIONS OF BIE IN POLYGONAL DOMAIN ON THE PLANE

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Robust regression in biological assay: application to the evaluation of alternative experimental techniques

Summary Robust Huber type regression and testing of linear hypotheses are adapted to statistical analysis of parallel line and slope ratio assays. They are applied in the evaluation of results of several experiments carried out in order to compare and validate alternatives to animal experimentation based on embryo and cell cultures. Computational procedures necessary for the application of robust methods of analysis used the conversational statistical package ROBSYS. Special commands for the analysis of parallel line and slope ratio assays have been added to ROBSYS.     

一种基于小波树能量的嵌入式图像编码方法

在给出小波树能量概念的基础上,针对EZW算法的特点及缺点,提出了一种新的改进算法,该算法中设计了一种新的小波树编码的扫描次序方法和有效值映射表示方法,该算法克服EZW算法不能充分利用小波变换的特点,存在树间冗余的缺陷。仿真结果表明该算法比原算法在峰值信噪比上有较大提高。     

评估数据的统计分析与修正

分别通过马氏距离分类和用因子调整消除评估问卷数的影响后再进行分类的统计方法，对中国科技大学教学质量评估问卷进行了分析，给任课老师一个横向可比的客观估计值，并提出了相应合理的问卷设计改进措施。     

吉林省人体身高与遗传及环境关系的数量分析

通过对吉林省456名大学生人体身高及相关因子的调查，采用线性回归分析得到遗传率的点估计值，并应用多元回归分析方法对人体身高与遗传及环境关系进行了初步研究，建立了可预测身高的数学模型，并给出了线性回归方程。