Asymptotic results in canonical discriminant analysis when the dimension is large compared to the sample size

This paper deals with the distributions of test statistics for the number of useful discriminant functions and the characteristic roots in canonical discriminant analysis. These asymptotic distributions have been extensively studied when the number p   of variables is fixed, the number q+1$q+1$ of groups is fixed, and the sample size N tends to infinity. However, these approximations become increasingly inaccurate as the value of p increases for a fixed value of N. On the other hand, we encounter to analyze high-dimensional data such that p is large compared to n. The purpose of the present paper is to derive asymptotic distributions of these statistics in a high-dimensional framework such that q   is fixed, p→∞$p\to \infty$, m=n-p+q→∞$m=n-p+q\to \infty$, and p/n→c∈(0,1)$p/n\to c\in (0,1)$, where n=N-q-1$n=N-q-1$. Numerical simulation revealed that our new asymptotic approximations are more accurate than the classical asymptotic approximations in a considerably wide range of (n,p,q)$(n,p,q)$.     

大陆法系的东斯拉夫变种——以彼得一世的立法为中心

彼得一世的近代化改革是以3000多条立法为框架和基础的。这些立法规制了俄国的政治、军事、民事和刑罚,促进了俄国社会从封闭走向开放,为俄国法律的近代化创造了条件。      

Multivariate Matsumoto–Yor property is rather restrictive

Matsumoto and Yor [2001. An analogue of Pitman's 2M-X$2M-X$ theorem for exponential Wiener functionals. Part II: the role of the GIG laws. Nagoya Math. J. 162, 65–86] discovered an interesting invariance property of a product of the generalized inverse Gaussian (GIG) and the gamma distributions. For univariate random variables or symmetric positive definite random matrices it is a characteristic property for this pair of distributions. It appears that for random vectors the Matsumoto–Yor property characterizes only very special families of multivariate GIG and gamma distributions: components of the respective random vectors are grouped into independent subvectors, each subvector having linearly dependent components. This complements the version of the multivariate Matsumoto–Yor property on trees and related characterization obtained in Massam and Weso?owski [2004. The Matsumoto–Yor property on trees. Bernoulli 10, 685–700].     

Regression models for functional data by reproducing kernel Hilbert spaces methods

Non-parametric regression models are developed when the predictor is a function-valued random variable X={_Xt}t∈T$X=\{X_t{\}}_{t\in T}$. Based on a representation of the regression function f(X)$f(X)$ in a reproducing kernel Hilbert space such models generalize the classical setting used in statistical learning theory. Two applications corresponding to scalar and categorical response random variable are performed on stock-exchange and medical data. The results of different regression models are compared.     

硬盘分区信息链表中任一结点信息的完全恢复算法初探

通过对分区链表中结点信息的研究,及前后结点中相关数据项比较之后,参照磁盘基数表中所记录相应分区长度,给出了其中任一结点或整个分区链表丢失之后的修复算法.     

多分销中心供应链模型及其牛鞭效应的H∞控制

本文在文^[1]具有一个分销中心供应链模型的基础上,建立了具有多个分销中心的供应链结构模型,采用供应链上游库存与订货偏差波动之和与下游顾客需求偏差波动之比描述牛鞭效应。提出顾客末端需求波动最差条件下H_∞控制方法,以抑制牛鞭效应。这一方法本质就是供应链末端需求波动最差情况下,制定供应链管理的最优决策。并且以一个石油分销系统为对象进行了供应链牛鞭效应的H_∞控制仿真实验。     

《白孔雀》——劳伦斯哲学探索的起点

劳伦斯的哲学思想贯穿在他的所有作品中,他的第一部小说《白孔雀》则是他以文学的形式探索哲学的起点.他的宇宙观是:宇宙是以对立物而存在的.他在《白孔雀》里着重探讨了理性与直觉、肉体与精神、自然与文明的对立关系.正是这部作品为他今后的创作奠定了基础.     

试论劳伦斯小说对生命哲学的探索

劳伦斯的整个文学创作过程,也是他对生命哲学的探索过程。《白孔雀》,揭示了理性与直觉、肉体与精神、自然与文明的对立关系;《儿子与情人》,继续了性爱题材的生命哲学探索;《虹》与《恋爱中的女人》,则集中展示了劳伦斯的以“血的意识”为标志的生命哲学探索;《查特莱夫人的情人》是他探索生命哲学的“天鹅之歌”,倾注他毕生对人类命运的艺术思考,达到了他探索生命哲学的顶峰。     

语义翻译和交际翻译——《西游记》中佛教用语的翻译策略对比

文章通过对彼得.纽马克提出的语义翻译与交际翻译进行阐释,结合余国藩和詹纳尔Journey to the West在翻译《西游记》中对佛教用语的翻译,比较这两种翻译策略在文化传递中的不同作用。指出在处理佛教文化负载词时,余国藩的译本更加倾向使用语义翻译,旨在达到传递佛教文化的目的。而詹纳尔的译文多采用交际翻译,以提高译文在西方读者中的可读性。