方向导数和偏导数

通过对方向导数和偏导数两者间区别与联系的论述，揭示了它们是同属于函数变化率问题的两个平行的不同的概念．     

相关多质量特性的优化设计

针对小样本情形下的相关多质量特性优化设计问题,在运用田口(Taguchi)质量损失函数度量多质量特性的稳健性基础上,本文提出了使用多变量偏最小二乘(Partial Least-Squares,PLS)回归模型处理此类问题的新方法,并结合实际的工业案例进行了分析.结果表明,本文所提出的新方法能够有效地处理相关多质量特性的优化设计问题.     

汉英平行语料库双语语义对应空位研究

双语词语语义对应空位现象是英汉互译的常见障碍。在建立英汉平行语料库的过程中,这也是无法回避的问题。本文拟总结目前已建成的一些语料库处理这一问题的习惯方式,并在此基础上借鉴机器翻译研究领域的理论成果,试图做出更加细致的分析并提出更加可行的解决方案。     

Structural Nested Models and Standard Software: A Mathematical Foundation through Partial Likelihood

Abstract.  In observational studies treatment may be adapted to the patient's state during the course of time. These covariates may in turn also react on the treatment under study, and so on. This makes it hard to distinguish between treatment effect and selection bias. Structural nested models aim at estimating treatment effect in such complicated situations, even when treatment may change at any time. We show that structural nested models can often be calculated with standard software, by using standard models to predict treatment as a tool to estimate treatment effect. Robins ( Survival analysis, Volume 6 of Encyclopedia of Biostatistics , John Wiley and Sons, Chichester, 1998) conjectured this, but so far it was unproven. We use a partial likelihood approach to choose the estimators and tests as a subclass of the estimators and tests in Lok (math. ST/0410271 at http://arXiv.org , 2004). We show that this is the class of estimators and tests that can be calculated with standard software. The estimators are consistent and asymptotically normal, and have interesting asymptotic properties.     

Risk of Error and the Kappa Coefficient of a Binary Diagnostic Test in the Presence of Partial Verification

The accuracy of a binary diagnostic test is usually measured in terms of its sensitivity and its specificity, or through positive and negative predictive values. Another way to describe the validity of a binary diagnostic test is the risk of error and the kappa coefficient of the risk of error. The risk of error is the average loss that is caused when incorrectly classifying a non-diseased or a diseased patient, and the kappa coefficient of the risk of error is a measure of the agreement between the diagnostic test and the gold standard. In the presence of partial verification of the disease, the disease status of some patients is unknown, and therefore the evaluation of a diagnostic test cannot be carried out through the traditional method. In this paper, we have deduced the maximum likelihood estimators and variances of the risk of error and of the kappa coefficient of the risk of error in the presence of partial verification of the disease. Simulation experiments have been carried out to study the effect of the verification probabilities on the coverage of the confidence interval of the kappa coefficient.     

含时滞的偏泛函微分方程解的稳定性

采用不等式估值方法 ,对含时滞的偏泛函微分方程解的稳定性进行了讨论 ,获得了零解渐近稳定的简洁判据     

确定顾客满意度重要影响因素的方法

顾客满意度研究是目前质量领域和经济领域一个非常热门和前沿的话题,它对于企业确定影响顾客满意度的重要因素并采取相应的措施提高顾客的满意度、增加企业利润具有重大意义。文章主要介绍了几种确定顾客满意度重要影响因素的方法,并详细分析了其优缺点,然后以顾客对天津市某培训机构教学满意度评价为例,利用主成分回归和偏最小二乘回归找出影响教学的重要因素。结果表明偏最小二乘回归分析的方法更可靠、更合理一些。     

Law of iterated logarithm and almost sure limit points for random sums

Let {X_n,n≥1} be a sequence of independent identically distributed (i.i.d) random variables with a common distribution function F. When F belongs to the domain of partial attraction of a Semi-Stable law with index ,0<<2, we give complete solution to the results of R. Vasudeva and G. Divanji [Law of iterated logarithm for random subsequences, Statist. Probab. Lett. 12 (1991) 189–194], where they obtained Chover’s form of the law of iterated logarithm for random subsequences. Further, we extended the situation in obtaining almost sure limit points for random subsequences.     

Maximum Likelihood Estimation in Gaussian Chain Graph Models under the Alternative Markov Property

Abstract.  The Andersson–Madigan–Perlman (AMP) Markov property is a recently proposed alternative Markov property (AMP) for chain graphs. In the case of continuous variables with a joint multivariate Gaussian distribution, it is the AMP rather than the earlier introduced Lauritzen–Wermuth–Frydenberg Markov property that is coherent with data-generation by natural block-recursive regressions. In this paper, we show that maximum likelihood estimates in Gaussian AMP chain graph models can be obtained by combining generalized least squares and iterative proportional fitting to an iterative algorithm. In an appendix, we give useful convergence results for iterative partial maximization algorithms that apply in particular to the described algorithm.     

基于偏时域相干算法的一种信号分析系统

本文提出将偏时域相干算法应用于一种实时信号分离系统，简要介绍了该系统的基本原理、系统的总体设计方案及该系统的适用条件．计算机仿真结果表明了该系统的有效性．