嵌套Logistic模型的矩估计

讨论多元极值分布嵌套 Logistic模型 ,给出了分布参数的矩估计及其渐近协方差阵元素的显式表示和数值结果 .当边缘参数相等时 ,用合并样本估计公共参数 ,可以提高估计量的精度 .     

从计算机图形处理回溯到数学建模

图形、图像制作是计算机应用的一个重要领域,其中可视化软件的广泛使用,体现了方便,快捷的优点,但对于专业模型设计人员来说。因为没有数学建模平台,使其功能受限。灵活性较差,非可视化软件的应运而生,使图形、图像制作具有了很好的数学建模平台．笔者利用多元样条函数算法,建立一个棱角磨光的四棱锥,验证非可视化软件在数学建模方面的优点．     

吊杆张拉程序对拱梁组合体系内力影响的分析

以某拱梁组合体系为研究对象,研究不同吊杆张拉程序对结构内力的影响。分析表明：对称依次张拉会造成局部应力过大,但若根据结构受力情况,分次、逐级张拉,则可显著降低结构在张拉过程中的应力,保证结构的安全;对称交替张拉可以使结构在张拉过程中内力分布更均衡,对结构安全有利,在张拉设备等条件允许时可以考虑一次张拉到最终吊杆力。对这两类吊杆张拉程序在张拉施工中结构安全性的研究,可为同类工程提供参考.     

Retail default prediction by using sequential minimal optimization technique

This paper employed sequential minimal optimization (SMO) to develop default prediction model in the US retail market. Principal components analysis is used for variable reduction purposes. Four standard credit scoring techniques—naïve Bayes, logistic regression, recursive partitioning and artificial neural network—are compared to SMO, using a sample of 195 healthy firms and 51 distressed firms over five time periods between 1994 and 2002. The five techniques perform well in predicting default particularly one year before financial distress. Furthermore, the prediction still remains sound even 5 years before default. No single methodology has the absolute best classification ability, as the model performance varies in terms of different time periods and variable groups. External influences have greater impacts on the naïve Bayes than other techniques. In terms of similarity with Moody's ranking, SMO excelled over other techniques in most of the time periods. Copyright © 2008 John Wiley & Sons, Ltd.     

On the Equivalent Keys in Multivariate Cryptosystems

The number of equivalent keys in multivariate cryptosystem is closely related to the scheme security. This study analyzes the structure of the private key space in some multivariate schemes.The result gives the lower bounds on the number of equivalent keys of some variants of the hidden field equation (HFE) scheme including plus, minus-plus, embedding, and internal perturbation. This method estimates the number of invertible transformations which maintain the form of the central map invariant. Furthermore,a formal proof shows that the two modifications of fixing and embedding are equivalent in security analyses of multivariate schemes. Also this paper corrects previous proofs in Wolf’s work on the number of equivalent keys in HFEv,the unbalanced oil and vinegar (UOV) scheme, and the stepwise triangular systems (STS).     

英语词类转换的多元分析

转类法是现代英语中一种较为活跃的构词方法。词类转换有其深刻的动因,客观世界的统一性为转换提供了物质基础,人类范畴化的认知能力决定了词类转换的可能性和不平衡性。语言是人类认知的符号化表征,语言与认知不可分。     

多元相依线性模型的M－估计

讨论多元线性模型Ｙ＿ｉ＝ｘ＇＿ｉβ＋Ｅ＿ｉ，ｉ＝１，２，…中凸偏差函数最小问题的解定义的多元线性回归系数β的Ｍ－估计的相合性及渐近分布，其中｛Ｅ＿ｉ，ｉ≥１｝为严平稳α－混合ｐ维随机误差序列，在十分一般的条件下，建立了β的Ｍ－估计的相合性，并基于过程收敛得到了Ｍ－估计的渐近分布。