Regression from another angle

This paper presents a simply viewed framework that brings together various concepts of regression, prediction, and principal components. Several new concepts related to prediction are introduced, and then the interrelationships of these concepts are established. The generalizations are examined in detail and are illustrated in the context of a well known data set.     

On fractional moments of quadratic expressions in normal variables1

Fractional moments, product cumulants and product moments of general quadratic expressions in singular and nonsingular normal variables are explicitly evaluated. A general method of deriving such moments is also indicated. Particular cases art; shown to agree with known results.     

An exact test for nbue class of survival functions

Let F(x) be a life distribution. An exact test is given for testing H₀ F is exponential, versusH₁Fε NBUE (NWUE); along with a table of critical values for n=5(l)80, and n=80(5)65. An asymptotic test is made available for large values of n, where the standardized normal table can be used for testing.     

Nonparametric density deconvolution by weighted kernel estimators

Nonparametric density estimation in the presence of measurement error is considered. The usual kernel deconvolution estimator seeks to account for the contamination in the data by employing a modified kernel. In this paper a new approach based on a weighted kernel density estimator is proposed. Theoretical motivation is provided by the existence of a weight vector that perfectly counteracts the bias in density estimation without generating an excessive increase in variance. In practice a data driven method of weight selection is required. Our strategy is to minimize the discrepancy between a standard kernel estimate from the contaminated data on the one hand, and the convolution of the weighted deconvolution estimate with the measurement error density on the other hand. We consider a direct implementation of this approach, in which the weights are optimized subject to sum and non-negativity constraints, and a regularized version in which the objective function includes a ridge-type penalty. Numerical tests suggest that the weighted kernel estimation can lead to tangible improvements in performance over the usual kernel deconvolution estimator. Furthermore, weighted kernel estimates are free from the problem of negative estimation in the tails that can occur when using modified kernels. The weighted kernel approach generalizes to the case of multivariate deconvolution density estimation in a very straightforward manner.     

新世纪学报工作的发展研究

形势的发展,要求学报进行创新式的工作,将学报的发展与市场经济建设相联系;由此,大推进式的建构学报工作的新路径。     

试论戏曲脸谱的意象营构与表情体验

戏曲脸谱是以高度夸张、高度抽象等艺术手段体现的意象创造。艺术家在舞台表演过程中 ,完成了发于内、形于外的充满情感的表情审美体验。脸谱的意象营构正是在表情体验指导下 ,将所获得的审美理想付诸艺术创造的具体实践。从无形到有形 ,是脸谱意象营构的艺术规律 ,它把艺术家的审美体验变为可以具体感知的艺术形象。脸谱的意象营构遵循“经营位置”的形式美法则 ,赋予脸谱意象以生动的感性表现形式。脸谱的意象营构脱离客观表象 ,而以表情体验作为审美依据 ,实现了遗貌取神 ,离形得似的艺术追求 ,达到了神似的艺术境界     

简论中国古代的环境伦理思想

中国古代环境伦理思想的哲学基础是天人统一观 ,尊重生命 ,兼爱万物是这一伦理思想的主题。寡欲节用是中国古代珍惜自然资源的传统美德。中国古代就已形成了渗透环境伦理意识的政法理念。不同于西方传统伦理学所奉行的人类中心主义 ,中国先哲主张保持人和自然关系的和谐统一。作为珍贵的文化遗产 ,中国古代环境伦理思想是保证和维护中华民族几千年生存繁衍和中华文明绵延不断的重要因素之一 ,它对现代环境伦理学的发展也具有重大的理论借鉴价值。在当前现代化建设中 ,有分析地借鉴我国古代的环境伦理思想 ,对创建适合我国国情的环境伦理学 ,解决社会可持续发展问题是极有意义的     

明代重赋出于政治原因说

明代江南苏州、松江等地的田赋负担十分沉重,这是明史和中国经济史中的一大问题。明清以来,对明代苏松重赋问题的原因论述极多,但众说纷坛,莫衷一是。其实,明代除江南地区外,明代江西、陕西等地也出现了重赋现象。通盘考察明代的几个重赋区可以发现,这些地区虽自然、经济社会条件大相径庭,但共同的一点是元末明初皆为朱元璋的敌对势力所占领,他们曾与明军相抗衡,这正是这些地区遭到朱元璋重赋政策惩罚的原因。