On an ad hoc test for order restricted multivariate normal means

Abstract

For several normal mean vectors restricted by a simple ordering with respect to a multivariate order, this article derives sufficient and necessary conditions for the restricted MLEs for both mean vectors and covariance matrix, and develops an ad hoc test. It establishes conditions for the bounds of the p-values. One example of such bound is given with some comments.     

General results of complete convergence and complete moment convergence for weighted sums of some class of random variables

ABSTRACT

In the article, the complete convergence and complete moment convergence for weighted sums of sequences of random variables satisfying a maximal Rosenthal type inequality are studied. As an application, the Marcinkiewicz–Zygmund type strong law of large numbers is obtained. Our partial results generalize and improve the corresponding ones of Shen (2013 Shen, A.T. (2013). On strong convergence for weighted sums of a class of random variables. Abstr. Appl. Anal.2013, Article ID 216236: 1–7. [Google Scholar]).     

Penalized inverse probability weighted estimators for weighted rank regression with missing covariates

Abstract

In this article, we study the variable selection and estimation for linear regression models with missing covariates. The proposed estimation method is almost as efficient as the popular least-squares-based estimation method for normal random errors and empirically shown to be much more efficient and robust with respect to heavy tailed errors or outliers in the responses and covariates. To achieve sparsity, a variable selection procedure based on SCAD is proposed to conduct estimation and variable selection simultaneously. The procedure is shown to possess the oracle property. To deal with the covariates missing, we consider the inverse probability weighted estimators for the linear model when the selection probability is known or unknown. It is shown that the estimator by using estimated selection probability has a smaller asymptotic variance than that with true selection probability, thus is more efficient. Therefore, the important Horvitz-Thompson property is verified for penalized rank estimator with the covariates missing in the linear model. Some numerical examples are provided to demonstrate the performance of the estimators.     

Asymptotic normality of Huber–Dutter estimators in a linear model with AR(1) processes

The paper studies a linear regression model with first order autoregressive (AR(1)) processes. The Huber–Dutter (HD) estimators of unknown parameters are given, and the asymptotic normality of the HD estimators is investigated. An example is presented to illustrate the proposed method.     

煤炭资源开采中的生态环境经济损失及补偿研究

通过对CVM研究结论的比较讨论,认为基于CVM测算出的煤炭资源开采中的生态环境经济损失值偏小.为了全面计算煤炭资源开采中的生态环境经济损失值,提出将CVM与直接市场法和间接市场法联合使用,并计算出2010年榆林市煤炭资源开采的生态环境经济损失为208.4亿～209.11亿元.在此基础上,又对煤炭资源开采中的生态环境损失补偿问题进行研究,提出由煤炭资源开采企业和煤炭资源受益者共同承担煤炭资源开采中生态环境损失补偿的责任,并对各自应该分担的补偿水平进行量化.     

On the Preliminary Test Backfitting and Speckman Estimators in Partially Linear Models and Numerical Comparisons

Przystalski and Krajewski (2007 Przystalski , M. , Krajewski , P. ( 2007 ). Constrained estimators of treatment parameters in semiparametric models . Statist. Probab. Lett. 77 : 914 – 919 .[Crossref], [Web of Science ®] , [Google Scholar]) proposed the restricted backfitting (RBCF) estimator and restricted Speckman (RSPC) estimator for the treatment effects in a partially linear model when some additional exact linear restrictions are assumed to hold. In this article, we introduce the preliminary test backfitting (PTBCF) estimator and preliminary test Speckman (PTSPC) estimator when the validity of the restrictions is suspected. Performances of the proposed estimators are examined with respect to the mean squared error (MSE) criterion. In addition, numerical behaviors of the proposed estimators are illustrated and compared via a Monte Carlo simulation study.     

习近平人民中心论对传统民本追求的本质性超越

民本思想作为中华优秀传统文化的核心理念和治理智慧,对中华文明发展有着深远影响。但在君主专制私有社会中,其民本意义上的功能和理想实际上无法得到真正的实现。习近平人民中心论秉承和彰显马克思主义的人民性特质,有着鲜明的价值取向和丰富的时代内涵,强调人民是创造和发展历史的主体力量和动力源泉。相比传统民本思想,习近平人民中心论在人民与国家的关系上实现了地位上的“从属”到“主体”的超越;在利益追求上实现了“异路”到“同向”的超越;在治理上将服务人民视为起点和目标,把人民当成信仰,实现了“治术”到“信仰”的超越。     

我国重新包装产品平行进口的法律完善 ——基于对欧盟立法判例的借鉴

近些年有关重新包装产品平行进口的司法案件层出不穷,随着我国在新发展格局下高水平对外开放政策的实施,重新包装产品平行进口的合法性问题迫切需要解决。我国应当对标国际高水平经贸规则,借鉴欧盟相对成熟的立法和判例实践,特别是欧盟判例法中BMS规则,明确规定适用商标权国际用尽原则,并规定例外的情形,即原则上支持重新包装产品的平行进口,但对于产生“混淆可能性”、商品品质发生变化,或者造成商标权人声誉减损的重新包装产品,商标权人有权阻止该产品的平行进口。除此之外,相关部门还需要辅之以反不正当竞争法的视角,考察该平行进口是否会引起消费者的误认误购、损害国内经营者的市场信誉等不正当竞争情形。知识产权海关保护立法则应补充相关规则,并规定海关尽可能采取依申请保护模式。     

中国式现代化指数构建研究

开启全面建设社会主义现代化国家新征程是新时代的战略安排,是中国共产党确立的伟大目标。构建科学合理的中国式现代化指数及其评估指标体系,对以中国式现代化全面推进中华民族伟大复兴意义重大。结合中国式现代化的内涵及其五大特征,按照党的二十大报告的总体框架构建中国式现代化指数评估指标体系,指标体系共囊括“经济现代化”“科教现代化”“政治现代化”“法治现代化”“文化现代化”“社会现代化”“生态现代化”“国家安全、国防与军队现代化”“和平发展现代化”和“党的建设现代化”等10个一级指标,以及41个二级指标,分别从主观、客观两个维度设置130个三级基本指标和特色指标,进而深入分析指标的基本构成及测算方法等。中国式现代化指数系统回答了什么是中国式现代化,应该以什么样的标准或指标对中国式现代化进行测量。在此基础上,从中国式现代化建设成效、党委政府业绩考核等多个维度探讨中国式现代化指数的应用前景。