Testing equality of two intercepts for the parallel regression model with non sample prior information

This paper proposes tests for equality of intercepts of two simple regression models when non sample prior information is available on the equality of two slopes. For three different scenarios on the values of the slope, namely (i) unknown (unspecified), (ii) known (specified), and (iii) suspected, we derive the unrestricted test (UT), restricted test (RT), and pre-test test (PTT) for testing the equality of intercepts. The test statistics, their sampling distributions, and power functions of the tests are obtained. Comparison of power function and size of the tests reveals that the PTT has a reasonable dominance over the UT and RT.     

Higher-order expansions of extremes from mixed skew-t distribution

In this article, we study the asymptotic behaviors of the extreme of mixed skew-t distribution. We consider limits on distribution and density of maximum of mixed skew-t distribution under linear and power normalizations, and further derive their higher-order expansions, respectively. Examples are given to support our findings.     

Testing serial correlation in partially linear models with validation data

This article investigates the testing for serial correlation in partially linear models with validation data and applies the empirical likelihood methods to construct serial tests statistics, and then we derive the asymptotic distribution of the test statistics under null hypothesis. Simulation results show that our method performs well.     

Jackknife empirical likelihood for the error variance in linear models

Variance estimation is a fundamental yet important problem in statistical modelling. In this paper, we propose jackknife empirical likelihood (JEL) methods for the error variance in a linear regression model. We prove that the JEL ratio converges to the standard chi-squared distribution. The asymptotic chi-squared properties for the adjusted JEL and extended JEL estimators are also established. Extensive simulation studies to compare the new JEL methods with the standard method in terms of coverage probability and interval length are conducted, and the simulation results show that our proposed JEL methods perform better than the standard method. We also illustrate the proposed methods using two real data sets.     

基于G3指南的河北省煤矿企业社会责任评价体系的构建

评价一个煤矿企业履行社会责任好坏,需要有一套相对公平合理的评价体系.全球报告倡议组织发布的G3指南为建立煤矿企业社会责任体系提供了方向.本文对河北省煤矿企业社会责任现状进行了分析,指出基于G3指南的煤矿企业社会责任评价体系的构建还应考虑河北煤矿行业的特殊性,应建立员工、安全、经济、环境、社会五位一体的企业社会责任评价体系.     

Confidence intervals for parameters lying in a random polygon

This paper presents algorithms for computing confidence intervals and regions for elements of a parameter vector when the signs of linear combinations of unknown parameters are observed, but the coefficients contain experimental error. These methods were proposed in the geochemical literature by Kolassa (1992) as a method specific to petrology. Experimental data are used to give linear constraints, involving quantities measured with error, on unknown free energies and entropies of a chemical reaction. Confidence intervals are given for these parameters, and these are compared with more naïve approaches.     

结构型一般EV线性模型参数估计的相合性研究

本文对结构型一般EV线性模型参数的研究,利用矩方法,得到了未知参数的强相合性。     

线性脉冲微分方程组的渐近性态

研究线性脉冲微分方程组解的渐近性态,揭示脉冲效应对系统解的性态影响,并推广非线性脉冲微分方程组.     

EM-FEL边带不稳定性的单粒子理论分析

利用单粒子理论分析了主频电磁波为常振幅缓变相移的电磁波泵自由电子激光(EM-FEL)的边带不稳定性,导出了色散方程,进行了详细地分析与讨论,并求出在几种特殊情况下的不稳定性区域与最大线性增长率,由此得出一些重要的结论。