A Unified Approach to the Approximation of Multivariate Densities

Approximation of a density by another density is considered in the case of different dimensionalities of the distributions. The results have been derived by inverting expansions of characteristic functions with the help of matrix techniques. The approximations obtained are all functions of cumulant differences and derivatives of the approximating density. The multivariate Edgeworth expansion follows from the results as a special case. Furthermore, the density functions of the trace and eigenvalues of the sample covariance matrix are approximated by the multivariate normal density and a numerical example is given     

《海洋自由论》及其国际法思想

本文介绍了格老秀斯《海洋自由论》的主要内容及其蕴涵的国际法思想。格老秀斯以自然法理论为基础 ,从葡萄牙对东印度无主权、无权垄断海洋和海上航行权以及无权垄断国际贸易权等三个角度来阐释其海洋自由和贸易自由理论 ;其蕴涵的国际法思想主要有 :航行自由和捕鱼自由、贸易自由、无害通过权、人类共同财产及和平论与和平解决国际争端等。这些闪耀着国际法思想光芒的真知灼见对今天的国际海洋法制度有着深刻的影响。在强权政治仍然主宰世界的今天 ,重温格老秀斯的国际法思想 ,仍有着积极意义。     

陕西农产品外贸物流与县域经济发展联盟体系与机制

农产品外贸物流对农业生产发展和县域经济繁荣具有十分重要的作用。基于陕西农产品外贸物流与县域经济发展的条件和基础,分析了制约陕西农产品外贸物流与县域经济发展的主要因素,构建了陕西农产品外贸物流与县域经济发展的“共享联盟”体系,包括：战略联盟、利益联盟、组织联盟、流程联盟、信息联盟、标准联盟。在此基础上提出陕西农产品外贸物流与县域经济发展的机制建设,即一个优化、三个亮点、五个抓手,从而为实现陕西经济的发展奠定保障基础,为我国西部经济未来发展、“丝绸之路”经济带以及整个国家经济和社会和谐发展发挥应有作用。     

新常态下供销社经营模式的转型与创新研究

随着我国新型四化的深入推进,农村经济建设迈入了新阶段。在新常态下,供销社的迫切任务是加快转型升级,切实提高为农服务能力。因而这就要求我们既要把握好传统业务,又要善用改革和创新的思维开拓新型业务,用业务经营发展促使供销社转型升级。面对我国经济发展新常态,供销社过去长期积累起来的服务“三农”的宝贵经验遇到了很大的挑战,在经营过程中所暴露出的经营方式、手段等方面都存在着很多弊端,进而阻碍了供销社的生存与发展。供销社要想走为农服务的道路,转型与创新势在必行。基于经济发展新常态,分析供销社在发展中存在的突出问题;研究供销社进行转型与创新的必要性;最后归纳总结供销社经营模式的创新途径。     

学前教育专业免费师范男生职业认同感的调查与对策——以泉州幼儿师范高等专科学校为例

运用问卷法和访谈法调查泉州幼高专学前教育免费师范男生的职业认同感现状,结果表明：学前教育专业免费师范男生的职业认同感处于中上水平;不同专业、不同生源地、不同年级的学前教育专业免费师范男生的职业认同感不存在显著性差异;独生的免费男幼师与非独生子女的男幼师在职业认同感存在显著性差异,且非独生子女得分高于独生子女。根据这一结果,从社会、高校、个人三个层面提出对策与建议,为学前教育免费师范男生的培养与管理提供教育启示。     

关注大学生就业问题,谋求地方高师院校长足发展

通过对地方高师院校毕业生就业形势的深入分析,剖析了引发地方高师院校毕业生就业难的内因和外因。从学校长足发展的角度,对地方高师院校的教育、管理和服务提出了改进措施。     

Asymptotic approximations to the distribution of Kendall's sample τ

This paper provides a saddlepoint approximation to the distribution of the sample version of Kendall's τ, which is a measure of association between two samples. The saddlepoint approximation is compared with the Edgeworth and the normal approximations, and with the bootstrap resampling distribution. A numerical study shows that with small sample sizes the saddlepoint approximation outperforms both the normal and the Edgeworth approximations. This paper gives also an analytical comparison between approximated and exact cumulants of the sample Kendall's τ when the two samples are independent.     

An Inquiry into Liberty,Slavery, and Thomas Jefferson’s Place in American Memory

Abstract

This article presents a guided inquiry into Thomas Jefferson’s place in American memory. It centers on Jefferson’s liberty-based articulations and his involvement in slavery, which are paradoxical when juxtaposed. Evocative primary sources and competing secondary sources ground the inquiry. Discipline-specific strategies direct students through the stages of inquiry. Close reading, text-based writing, and informed action intertwine with history literacy, historical thinking, and historical argumentation. Discussion focuses on logical curricular extensions.     

Percentage points of the statistics for testing hypotheses on mean vectors of multivariate normal distributions with missing observations

A problem of testing of hypotheses on the mean vector of a multivariate normal distribution with unknown and positive definite covariance matrix is considered when a sample with a special, though not unusual, pattern of missing observations from that population is available. The approximate percentage points of the test statistic are obtained and their accuracy has been checked by comparing them with some exact percentage points which are calculated for complete samples and some special incomplete samples. The approximate percentage points are in good agreement with exact percentage points. The above work is extended to the problem of testing the hypothesis of equality of two mean vectors of two multivariate normal distributions with the same, unknown covariance matrix     

On an asymptotic relative efficiency concept based on expected volumes of confidence regions

ABSTRACT

The paper deals with an asymptotic relative efficiency concept for confidence regions of multidimensional parameters that is based on the expected volumes of the confidence regions. Under standard conditions the asymptotic relative efficiencies of confidence regions are seen to be certain powers of the ratio of the limits of the expected volumes. These limits are explicitly derived for confidence regions associated with certain plugin estimators, likelihood ratio tests and Wald tests. Under regularity conditions, the asymptotic relative efficiency of each of these procedures with respect to each one of its competitors is equal to 1. The results are applied to multivariate normal distributions and multinomial distributions in a fairly general setting.