Small area estimates for cross-classifications

Summary.  We develop a class of log-linear structural models that is suited to estimation of small area cross-classified counts based on survey data. This allows us to account for various associ- ation structures within the data and includes as a special case the restricted log-linear model underlying structure preserving estimation. The effect of survey design can be incorporated into estimation through the specification of an unbiased direct estimator and its associated covariance structure. We illustrate our approach by applying it to estimation of small area labour force characteristics in Norway.     

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.     

Tests for Bivariate Symmetry Against Ordered Alternatives in Square Contingency Tables

Let X and Y denote two ordinal response variables, each having I levels. When subjects are classified on both variables, there are I 2 possible combinations of classifications. Let pij = Pr (X = i, Y = j) . This paper introduces a family of tests based on φ –divergence measures for testing H₀: pij = pji against H1: pij ≥ pji (I≥ j) ; and for testing H1 against H2: pij unrestricted. A simulation study assesses some of the family of tests introduced in this paper in comparison to the likelihood ratio test.     

真值表在形式逻辑中的功能

真值表是形式逻辑中广泛使用的一种逻辑方法,也是一种非常有用的工具.利用这一工具,可以判定一个命题表达式的真值情况;命题间的等值或矛盾关系;两个命题是否有条件关系;还可以应用它确定若干命题是否有一种共同情况存在以及寻找符合题设条件的情况和推理形式是否正确.这些结果都可以利用真值表这一工具一目了然地显示.     

Transform methods for the hypergeometric distribution

Two new methods for computing with hypergeometric distributions on lattice points are presented. One uses Fourier analysis, and the other uses Gröbner bases in the Weyl algebra. Both are very general and apply to log-linear models that are graphical or non-graphical.     

Marginal inhomogeneity models for square contingency tables with nominal categories

For the analysis of square contingency tables with nominal categories, this paper proposes two kinds of models that indicate the structure of marginal inhomogeneity. One model states that the absolute values of log odds of the row marginal probability to the corresponding column marginal probability for each category i are constant for every i. The other model states that, on the condition that an observation falls in one of the off-diagonal cells in the square table, the absolute values of log odds of the conditional row marginal probability to the corresponding conditional column marginal probability for each category i are constant for every i. These models are used when the marginal homogeneity model does not hold, and the values of parameters in the models are useful for seeing the degree of departure from marginal homogeneity for the data on a nominal scale. Examples are given.     

粗集决策表与决策表简化的可信度比较

根据粗集决策表提供信息的完备性,借助可信度的定义,对粗集决策表和简化的决策表的决策规则的可信度进行比较,得出了简化后的决策表的决策规则的可信度高于简化前的决策表的决策规则的可信度,为粗集理论的应用提供了有用的分析工具。     

Comparison of two measures of association in two-way contingency tables

Stuart's (1953) measure of association in contingency tables, t_C, based on Kendall's (1962) t, is compared with Goodman and Kruskal's (1954, 1959, 1963, 1972) measure G. First, it is proved that |G| ≥ |t_C|; and then it is shown that the upper bound for the asymptotic variance of G is not necessarily always smaller than the upper bound for the asymptotic variance of t_C. It is proved, however, that the upper bound for the coefficient of variation of G cannot be larger in absolute value than the upper bound for the coefficient of variation of t_C. The asymptotic variance of t_C is also derived and hence we obtain an upper bound for this asymptotic variance which is sharper than Stuart's (1953) upper bound.     

利用贝叶斯算法过滤报文内容分析系统中的垃圾信息

利用基于概率统计方法的贝叶斯算法,对报文内容分析系统中的垃圾信息进行过滤.该算法的实现,是通过一定的算法来分析大量的相关信息和不相关信息中多种单词特征出现的概率,从而建立一张单词特征表,并依据这张表借助一个评分系统来判断目标文件的相关性.本算法具有一定的自适应性。能根据垃圾信息不断变化出现的形式自动进行特征表更新,从而不断地实时提高本身的判断效率.     

2000-2010年福建省人口死亡统计分析

人口死亡水平的变动与趋势包含了与社会发展互为因果的潜在信息,对其进行挖掘可以为人口数量与素质、城市化与劳动就业、人口分布与资源环境承载力以及人口老龄化等问题的解决提供重要参考。基于“五普”、“六普”的人口普查数据,文章利用模型生命表方法对福建省的人口死亡率进行了校正;宏观角度对比分析了2000年-2010年福建省人口死亡水平与模式变化,微观多角度剖析了设区市之间预期寿命、婴儿死亡的差异及其原因。研究结论为：一是福建省人口死亡率显著降低,人口健康水平大幅提升,婴儿死亡漏报、错报问题明显减少;二是九个设区市之间的死亡模式存在地区差异,城市化水平、生育水平及社会卫生条件是差异产生的显著性影响因素,但经济发展、教育水平和公共医疗卫生的作用不明显。