Minimization of the probabilistic p-frame potential

We investigate the optimal configurations of n points on the unit sphere for a class of potential functions. In particular, we characterize these optimal configurations in terms of their approximation properties within frame theory. Furthermore, we consider similar optimal configurations in terms of random distributions of points on the sphere. In this probabilistic setting, we characterize these optimal distributions by means of special classes of probabilistic frames. Our work also indicates some connections between statistical shape analysis and frame theory.     

On selecting populations better than a control: weibull populations case

Consider k( k ≥ 1) independent Weibull populations and a control population which is also Weibull. The problem of identifying which of these k populations are better than the control using shape parameter as a criterion is considered. We allow the possibility of making at most m(0 ≤ m < k) incorrect identifications of better populations. This allowance results in significant savings in sample size. Procedures based on simple linear unbiased estimators of the reciprocal of the shape parameters of these populations are proposed. These procedures can be used for both complete and Type II-censored samples. A related problem of confidence intervals for the ratio of ordered shape parameters is also considered. Monte Carlo simulations as well as both chi-square and normal approximations to the solutions are obtained.     

Comparing Fisher information in record values and their concomitants with random observations

In a sequence of bivariate random variables {(X _i , Y _i ), i≥1} from a continuous distribution with a real parameter θ, general comparison results between the amount of Fisher information about θ contained in the sequence of the first n records and their concomitants, and the desired information in an i.i.d. sample of size n from the parent distribution are established. Some relationships between reliability properties and the proposed criteria are obtained in situations in which the univariate counterpart of the underlying bivariate family belongs to location, scale or shape families. It is also shown that in some classes of bivariate families, the concerned information property is equivalent to that of its univariate counterpart. The proposed procedure is illustrated by considering several examples.     

The essentially complete class of rules in multinomial identification

The problem of identification within two groups is considered, when the space 𝔛 of the possible values of the observed random variable X is finite. Using an essentially complete class of tests hypothesis ξ=0 (ξis real) for the multivariate exponential family, an essentially complete class of sample-based identification rules has been found. Comparison of the rules to those derived from density estimators has shown that the latter constitute a subclass of the former.     

Bayesian regression on non-parametric mixed-effect models with shape-restricted Bernstein polynomials

We develop a Bayesian estimation method to non-parametric mixed-effect models under shape-constrains. The approach uses a hierarchical Bayesian framework and characterizations of shape-constrained Bernstein polynomials (BPs). We employ Markov chain Monte Carlo methods for model fitting, using a truncated normal distribution as the prior for the coefficients of BPs to ensure the desired shape constraints. The small sample properties of the Bayesian shape-constrained estimators across a range of functions are provided via simulation studies. Two real data analysis are given to illustrate the application of the proposed method.     

氢原子光谱中的线形分析

讨论了从Ha线形分布推出分子过程的基础,并给出了实验结果。     

浅谈近代中国绘画的发展趋势

我国历代所传之画十分丰富,20世纪以来,由于社会革命和西方思潮的影响,美术思想呈现出前所未有的活跃局面,中国绘画如何传承与发展本土艺术寻找着属于自己的道路。本文截取处于中西绘画交流与冲突的近代这一历史阶段,围绕外来派、传统派和融合派的发展道路论述。     

河南目连戏研究

目连戏发轫于北宋汴京的勾栏瓦舍间,河南是目连戏的故乡。在河南大部分地区,目连戏曾以各种形式长期演出并广泛传播。现存河南目连戏源于北宋《目连救母》杂剧而发生了较大的变异:在情节上,它较多地接受了宝卷和民间传说的影响;在思想蕴涵上,它更多地吸纳了源于社会下层民众艰难生活现实的特殊的"孝"观念,从而与儒家传统观念呈现出明显的疏离;在表演形态上,河南目连戏部分地保留了宋杂剧"滑稽"和"杂"的特色,以及古时乡人傩的成分,并以较为完备的戏曲形式表现出来,是三者的有机结合。河南目连戏具有民俗、宗教和戏曲等多方面的研究价值。     

建安诗歌的审美追求——从曹丕的“诗赋欲丽“谈起

论述了曹丕诗作“清丽”之美代表了建安诗歌的审美追求;他重视诗歌形式美——“诗赋欲丽”的审美主张由多种缘由使然;他的“诗赋欲丽”说是我国诗论进入审美时代的宣言,引领了魏晋南北朝重形式美的文学风尚。     

论文化对人格的塑造及其意义

文化有两层含义，文化对人格的塑造相应地表现在两个方面，在绝对意义上，文化使人成为社会的人，在相对意义上，文化使一群人和另一群人相区别。不同的文化和相应的人格特征在价值上是相等的，它们之间应该相互尊重和理解。