Tests of symmetry based on transformed empirical processes

A probability distribution function F is said to be symmetric when 1 ‐ F(x) ‐ F(‐x) = 0 for all x∈ R. Given a sequence of alternatives contiguous to a certain symmetric F₀, the authors are concerned with testing for the null hypothesis of symmetry. The proposed tests are consistent against any nonsymmetric alternative, and their power with respect to the given sequence can easily be optimized. The tests are constructed by means of transformed empirical processes with an adequate selection of the underlying isometry, and the optimum power is obtained by suitably choosing the score functions. The test statistics are very easy to compute and their asymptotic distributions are simple.     

城市化测度方法研究

采用复合指标法,从经济实力、经济结构、社会发展、基础设施和环境建设五个方面,选取16个与城市化相关的指标,以西安市的数据为基础,利用统计分析的方法构建了西安市城市化测度因子模型,并应用结构方程对该模型进行参数估计,得到了西安市城市化测度结构方程模型,应用该方法可以更准确地对各个城市的城市化发展水平进行度量和对比。     

大学英语作文题库内容效度方面存在的问题与建议

以测试理论和《大学英语教学大纲》为依据,以教学主体和教材为研究对象,分析宁夏大学《大学英语》三级成就测试作文题库,指出其在内容效度方面存在的三方面问题:(1)考试目的不明确;(2)命题不规范;(3)写作内容与形式不具代表性。提出提高考试命题人员的测试理论知识水平、制订考试规范和组建测试小组等改进建议,进一步建立科学、合理和规范的大学英语测试体系。     

A Rank-Sum-Type Test for Paired Data with Multiple Endpoints

Clinical trials and other types of studies often examine the effects of a particular treatment or experimental condition on a number of different response variables. Although the usual approach for analysing such data is to examine each variable separately, this can increase the chance of false positive findings. Bonferroni's inequality or Hotelling's T² statistic can be employed to control the overall type I error rate, but these tests generally lack power for alternatives in which the treatment improves the outcome on most or all of the endpoints. For the comparison of independent groups, O'Brien (1984) developed a rank-sum type test that has greater power than the Bonferroni and T² procedures when one treatment is uniformly better (i.e. for all endpoints) than the other treatment(s). In this paper we adapt the rank-sum test to studies involving paired data and demonstrate that it, too, has power advantages for such alternatives. Simulation results are described, and an example from a study measuring the effects of sleep loss on glucose metabolism is presented to illustrate the methodology.     

Alternative posterior consistency results in nonparametric binary regression using Gaussian process priors

We establish consistency of posterior distribution when a Gaussian process prior is used as a prior distribution for the unknown binary regression function. Specifically, we take the work of Ghosal and Roy [2006. Posterior consistency of Gaussian process prior for nonparametric binary regression. Ann. Statist. 34, 2413–2429] as our starting point, and then weaken their assumptions on the smoothness of the Gaussian process kernel while retaining a stronger yet applicable condition about design points. Furthermore, we extend their results to multi-dimensional covariates under a weaker smoothness condition on the Gaussian process. Finally, we study the extent to which posterior consistency can be achieved under a general model where, when additional hyperparameters in the covariance function of a Gaussian process are involved.     

Testing for cointegration at any frequency using spectral methods

Summary In this paper a new simple test for cointegration at any frequency is presented. This method can thus be applied to test for cointegration both at the zero and at the seasonal frequencies. It requires the estimation of the coherency spectrum of weakly stationary processes, therefore only standard spectral theory is involved. The testing procedure is similar to the one suggested by Phillips and Ouliaris (1988) and recently generalized by Joyeux (1992) to frequencies different from zero, but it does not suffer of some problems connected with the use of principal components methods in the frequency domain. Invited paper at the Conference held in Bologna, Italy, 27–28 May 1993, on ?Statistical Tests: Methodology and Econometric Applications?.     

Testing for a trend in exponential means: A two-moment approximation to the null distribution of the likelihood-ratio statistic

The likelihood-ratio test statistic for testing homogeneity of exponential means with an ordered alternative has a rather complex null distribution. Expressions for the mean and variance of its null distribution are derived, and the accuracy of a two-moment chi-squared approximation is studied. The coefficients needed to implement the approximation are tabled. The application of these results in testing for a constant versus a nondecreasing intensity in a nonhomogeneous Poisson process is also discussed.     

电流型变频调速系统动态模型研究

本文主要通过异步电动机电压矩阵方程[1],推导出异步电动机的动态结构图,然后推导出交—直—交电流型变频调速双闭环系统的动态结构图。利用该结构图,在模拟机 DMJ—313上对负载扰动进行了仿真研究。试验表明,调整调节器参数,可使负载扰动指标达到满意的要求,为在设计中选择调节器参数提供了依据。     

实践检验的缺陷与补救

实践是检验认识、决策是否科学的主要方法。但实践检验也有缺陷,那就是易造成损失,因此还需要有辅助方法。毛泽东除了主张实践检验外,还提出了决策要走群众路线与要经集体讨论通过的方法。但后面这两种方法都要依靠领导自身的觉悟与态度,因而还难以保证把错误决策和这种决策的直接付诸实施减少到最低限度。新时期要建立科学、合理、完善的决策与集体审议决策的制度,这才能真正地减少了错误决策和这种决策的直接付诸实施。