内蒙古通辽地区出土的鲜卑金饰牌及其历史文化蕴涵

公元20世纪80年代至90年代初,横贯内蒙古通辽市中部地区的新开河流域,出土了三批八件鲜卑金饰牌。这些埋藏于地下1800年左右的金饰牌,无论造型艺术、纹饰图案及实际用途均带有一种神秘色彩。鲜卑金饰牌不仅反映了古代鲜卑人的历史足迹,而且是萨满巫师通达上天和祖先,沟通自然万物神灵的圣物,亦是古代欧亚草原文化交流的有力佐证。     

分形区域上Sturm—Liouville算子的迹

考虑如下特征值问题:,其中.这里{Ii}是R1中两两不相交的开区间列,数列{|Ii|}是不增的,并且是Ω上的有界可微函数,首次得到了关于上述特征值问题的算子迹的一个估计     

海南南山长寿区土壤微量元素含量分析

用电感耦合等离子体质谱对海南南山长寿区的土壤进行了微量元素分析,结果表明其土壤含有V、Cr、Mn、Fe、Co、Ni、Cu、Zn、Se、Mo等人体必需的微量元素,其中高铁高锰的的特征与广西巴马、新疆和田、江苏如皋和云南云龙等长寿区相类似,且无重金属元素污染。     

Pairwise testing of group mean vectors in MANOVA with small samples

Several, multivariate, pairwise, multiple comparison procedures are proposed as follow-ups for a significant multivariate analysis of variance. The Peritz procedure is generalized from univariate to several multivariate applications. Procedures are evaluated using overall power, any-pair power and all-pairs power applied to mean vectors with common sample sizes of 4, 5, and 9. Monte Carlo simulation demonstrated greater power than previously proposed univariate procedures in many conditions especially for all-pairs power. The multivariate Peritz procedure based on the Lawley–Hotelling trace was found to be most powerful in many conditions.     

Diagnostics for identifying influential cases in manova

Measures of influence of multivariate cases on the estimated parameter matrix in MANOVA are developed. The development is based on the confidence region resulting from the likelihood ratio criterion, and is patterned after the development of Cook's univariate D_Imeasure. Influence measures corresponding to the other 3 common multivariate test criteria are presented. Relationships to the measures of Caroni (1987), and Barrett and Ling (1988) are noted. A numerical example is included.     

Testing linear hypotheses of mean vectors for high-dimension data with unequal covariance matrices

We propose a new test procedure for testing linear hypothesis on the mean vectors of normal populations with unequal covariance matrices when the dimensionality, p exceeds the sample size N  , i.e. p/N→c<∞$p/N\to c<\infty$. Our procedure is based on the Dempster trace criterion and is shown to be consistent in high dimensions.     

A Comparison of Some Tests for Determining the Number of Nonzero Canonical Correlations

When considering the relationships between two sets of variates, the number of nonzero population canonical correlations may be called the dimensionality. In the literature, several tests for dimensionality in the canonical correlation analysis are known. A comparison of seven sequential test procedures is presented, using results from some simulation study. The tests are compared with regard to the relative frequencies of underestimation, correct estimation, and overestimation of the true dimensionality. Some conclusions from the simulation results are drawn.     

Multiple Comparisons Among Mean Vectors When the Dimension is Larger Than the Total Sample Size

We consider pairwise multiple comparisons and multiple comparisons with a control among mean vectors for high-dimensional data under the multivariate normality. For such cases, the statistics based on the Dempster trace criterion are given, and also their approximate upper percentiles are derived by using the Bonferroni’s inequality. Finally, the accuracy of their approximate values is evaluated by Monte Carlo simulation.     

A Small Sample Correction for the Test of Cointegrating Rank in the Vector Autoregressive Model

With the cointegration formulation of economic long–run relations the test for cointegrating rank has become a useful econometric tool. The limit distribution of the test is often a poor approximation to the finite sample distribution and it is therefore relevant to derive an approximation to the expectation of the likelihood ratio test for cointegration in the vector autoregressive model in order to improve the finite sample properties. The correction factor depends on moments of functions of the random walk, which are tabulated by simulation, and functions of the parameters, which are estimated. From this approximation we propose a correction factor with the purpose of improving the small sample performance of the test. The correction is found explicitly in a number of simple models and its usefulness is illustrated by some simulation experiments.     

白居易“效陶诗”心路历程溯源

白居易晚年一味独善其身,知足保和,提出中隐理论并以“似出复似处”的中隐模式庸俗地生活着。他消极的人生观表现为乐天知命、退守自持的儒家思想、老庄“知足止辱”、佛家色空观的杂糅。他晚年的效陶诗,究其精神实质来说并非积极意义上的学陶。陶渊明诗歌的“无我之境”和他伟大的人格是白居易效陶诗欲学而不能的。