现代汉语中的对举结构

对举结构有内部对举和外部对举。对举后往往产生新的结构义,在意义上、功能上都具有整体性。对举结构充分体现了对称规律对语法规则的完善和制约作用。     

Bayesian estimation methods for contingency tables

Summary A method of inputting prior opinion in contingency tables is described. The method can be used to incorporate beliefs of independence or symmetry but extensions are straightforward. Logistic normal distributions that express such beliefs are used as priors of the cell probabilities and posterior estimates are derived. Empirical Bayes methods are also discussed and approximate posterior variances are provided. The methods are illustrated by a numerical example.     

基于马尔可夫域变模型的上海股市收益率非线性特征分析

针对股市收益率在不同时期内具有不同的均值、波动性和持续性等非线性特征，引入马尔可夫域变模型（MRSM）对上海股市收益率的均值与波动性的对应关系以及高、低收益率状态转换特征进行分析，结果表明马尔可夫域变模型与GARCH类模型相比较，显著地提高了对股票市场行为的描述能力。它不仅可以从动态角度明确刻画金融市场的“收益与风险”相对称的特征，而且可测定不同状态持续的可能性和由一种状态转向另一种状态的概率。     

广义相对论的超维观念和降维方法

广义相对论运用降维方法研究空间弯曲导致的超维空间。球状有限无界闭合空间的提出实际上赋予超维物理意义。球状空间不同的对称性导致对空间第 4维的不同理解 :镜像对称使“无界”变为“镜界” ,“穿越赤道”变为“自我碰撞” ;中心对称使第 4维成为与原有 3维一样实在的空间维。弯曲状况不同的空间并存可以明显表现超 3维空间。近似开放空间的不均匀收缩导致局部闭合为“空洞” ,可作为显示超维的模型。宇宙可能包含无数并存的空间 ;具体时空的有限性 ,不能作为否认宇宙时空无限性的依据     

Measure of Asymmetry for Square Contingency Tables Having Ordered Categories

For the analysis of square contingency tables with nominal categories, Tomizawa and coworkers have considered measures that represent the degree of departure from symmetry. This paper proposes a measure that represents the degree of asymmetry for square contingency tables with ordered categories (instead of those with nominal categories). The measure proposed is expressed using the Cressie–Read power-divergence or Patil–Taillie diversity index, defined for the cumulative probabilities that an observation falls in row (column) category i or below and column (row) category j (> i ) or above. The measure depends on the order of listing the categories. It should be useful for comparing the degree of asymmetry in several tables with ordered categories. The relationship between the measure and the normal distribution is shown.     

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.