Adjusted Wilcoxon signed rank test tables for ratio of percentiles

The ordinary Wilcoxon signed rank test table provides confidence intervals for the median of one population. Adjusted Wilcoxon signed rank test tables which can provide confidence intervals for the median and the 10th percentile of one population are created in this paper. Base-(n + 1) number system and theorems about property of symmetry of the adjusted Wilcoxon signed rank test statistic are derived for programming. Theorem 1 states that the adjusted Wilcoxon signed rank test statistic are symmetric around n(n + 1)/4. Theorem 2 states that the adjusted Wilcoxon signed rank test statistic with the same number of negative ranks m are symmetric around m(n+1)/2. 87.5% and 85% confidence intervals of the median are given in the table for n = 12, 13,…, 29 to create approximated 95% confidence intervals of the ratio of medians for two independent populations. 95% and 92.5% confidence intervals of the 10th percentile are given in the table for n = 26, 27, 28, 29 to create approximated 95% confidence regions of the ratio of the 10th percentiles for two independent populations. Finally two large datasets from wood industry will be partitioned to verify the correctness of adjusted Wilcoxon signed rank test tables for small samples.     

Generating Bivariate Uniform Data with a Full Range of Correlations and Connections to Bivariate Binary Data

In this article, random number generation algorithms for generating bivariate uniform data based on a known class of symmetric bivariate uniform distributions that allow the entire correlation range are given, and its previously unrecognized connection with bivariate binary data is established via matching the cumulative distribution functions.     

SOME RESAMPLING PROCEDURES UNDER SYMMETRY

This paper investigates the properties of bootstrap and related methods assuming that the underlying distribution is symmetric but otherwise unknown. In particular it studies the percentile-t, nonparametric tilting and empirical likelihood and finds that the performance of percentile-t and non-parametric tilting methods can be improved by incorporating the symmetry into the resampling procedure. However, for symmetric empirical likelihood, the Bartlett correctability no longer holds, although use of bootstrap calibration restores the good coverage properties typically associated with Bartlett correction. This surprising result shows that Bartlett correctability is a very delicate property.     

共轭对称数据DFT,FFT的研究及应用

本文研究了共轭对称输入序列的离散付里叶变换DFT的特点,推导出高效的共轭对称数据FFT算法,并将其应用于机构学中对称连杆曲线的综合,取得了令人满意的结果.     

结构化学中的几个对称性关系

通过对结构化学中的几个对称性关系的解释和说明，使得原本复杂抽象的结构化学基本原理变得简单易懂，达到了激发学生学习兴趣，提高教学效果的目的．     

Tests of Symmetry in Three-dimensional Contingency Tables Based on Phi-divergence Statistics

In this paper we introduce a family of test statistics for testing complete symmetry in three-dimensional contingency tables based on phi- divergence families. These test statistics yield the likelihood ratio test and the Pearson test statistics as special cases. Asymptotic distribution for the new test statistics are derived under both the null and the alternative hypotheses. A simulation study is presented to show that some new statistics offer an attractive alternative to the classical Pearson and likelihood ratio test statistics for this problem of complete symmetry.     

企业债券的信用风险以及我国企业债券市场的发展

对企业债券信用风险的认识关乎我国企业债券市场发展的速度。企业债券有信用风险并不可怕 ,可怕的是投资人不知道风险程度。因此 ,企业债券市场建设的核心内容在于建立高信息透明度的制度保障环境。为此 ,需要政府强化监督信息披露职能 ,弱化质量把关职能 ,通过调整角色 ,形成由投资者承担风险而非政府承担风险的制度环境     

论雕塑艺术的空间问题

雕塑艺术只有在打破对称的形式 ,摆脱“正面律”的平面观念之后 ,才能产生出最具空间性的圆雕。雕塑空间不同于物理空间 ,它诉诸知觉而且常与人体姿势同时呈现 ,具有“不可入”、“不兼容”、“个体性”等感性特征。雕塑空间关系到实体和虚空、人与自然的对立统一 ,体现了“人本主义”的精神。     

On the Relation between Edge and Vertex Modelling in Shape Analysis

Objects in the plane with no obvious landmarks can be described by either vertex transformation vectors or edge transformation vectors. In this paper we provide the relation between the two transformation vectors. Grenander & Miller (1994 ) use a multivariate normal distribution with a block circulant covariance matrix to model the edge transformation vector. This type of model is also feasible for the vertex transformation vector and in certain cases the free parameters of the two models match up in a simple way. A vertex model and an edge model are applied to a data set of sand particles to explore shape variability.     

关于Ricci对称的黎曼流形的孤立性

使用P.Li的Sobolev不等式和Lp估计方法，研究Ricci对称的黎曼流形的量子化现象．证明了对于紧致的具有正数量曲率的Ricci对称的黎曼流形M，存在一个常数A，当M的保圆曲率张量的La/2模小于A时，M为常曲率空间．