Testing equality of two normal covariance matrices with monotone missing data

Abstract

The problem of testing equality of two multivariate normal covariance matrices is considered. Assuming that the incomplete data are of monotone pattern, a quantity similar to the Likelihood Ratio Test Statistic is proposed. A satisfactory approximation to the distribution of the quantity is derived. Hypothesis testing based on the approximate distribution is outlined. The merits of the test are investigated using Monte Carlo simulation. Monte Carlo studies indicate that the test is very satisfactory even for moderately small samples. The proposed methods are illustrated using an example.     

Random effects regression mixtures for analyzing infant habituation

Random effects regression mixture models are a way to classify longitudinal data (or trajectories) having possibly varying lengths. The mixture structure of the traditional random effects regression mixture model arises through the distribution of the random regression coefficients, which is assumed to be a mixture of multivariate normals. An extension of this standard model is presented that accounts for various levels of heterogeneity among the trajectories, depending on their assumed error structure. A standard likelihood ratio test is presented for testing this error structure assumption. Full details of an expectation-conditional maximization algorithm for maximum likelihood estimation are also presented. This model is used to analyze data from an infant habituation experiment, where it is desirable to assess whether infants comprise different populations in terms of their habituation time.     

Security Investment in Contagious Networks

Security of the systems is normally interdependent in such a way that security risks of one part affect other parts and threats spread through the vulnerable links in the network. So, the risks of the systems can be mitigated through investments in the security of interconnecting links. This article takes an innovative look at the problem of security investment of nodes on their vulnerable links in a given contagious network as a game‐theoretic model that can be applied to a variety of applications including information systems. In the proposed game model, each node computes its corresponding risk based on the value of its assets, vulnerabilities, and threats to determine the optimum level of security investments on its external links respecting its limited budget. Furthermore, direct and indirect nonlinear influences of a node's security investment on the risks of other nodes are considered. The existence and uniqueness of the game's Nash equilibrium in the proposed game are also proved. Further analysis of the model in a practical case revealed that taking advantage of the investment effects of other players, perfectly rational players (i.e., those who use the utility function of the proposed game model) make more cost‐effective decisions than selfish nonrational or semirational players.     

双波长比值法测定水杨酸、间苯二酚、对氨基苯甲酸的含量

依据水杨酸、间苯二酚、对氨基苯甲酸三组分的比值光谱特征,以对氨基苯甲酸为干扰组分,选择241nm、278nm作为测定水杨酸的波长;以水杨酸作为干扰组分,选择214nm、240nm作为测定间苯二酚的波长;以间苯二酚作为干扰组分,选择222nm、279nm作为测定对氨基苯甲酸的波长.结果显示,水杨酸浓度在1~80mg/L,基本二酚浓度在0.8~40mg/L,对氨基苯甲酸浓度在0.4~40mg/L范围内具有良好的线性关系.本方法具有测定波长少,光谱分离能力强、计算简单、能在低档分光光度计上实现、易于推广等特点.     

Visualization of generalized mean estimators using auxiliary information in survey sampling

Abstract

The mean estimators with ratio depend on multiple auxiliary variables and unknown parameters in a finite population setting. We propose a new generalized approach with matrices for modeling the mutivariate mean estimators with two auxiliary variables. Our approach brings naturally a graphical analysis for comparing mean estimators.     

试论投资基金的治理结构

投资基金的治理结构包含三个层次,即基金的各方当事人权利义务的制度安排、基金内部约束机制、外部市场压力及监管制度。针对我国基金治理结构目前存在的问题,可通过引入独立董事制度、将基金经理的报酬机制与公司的经营业绩挂钩、增强外部市场的竞争压力等途径,使之逐步完善。     

上证30指数股市盈率实证分析

通过对2000年上证30指数股市盈率水平及其影响因素进行实证分析,可以发现,其中股息支付率、每股收益增长率、行业平均市盈率对股票P/E值起主要的解释作用,而股本规模因素,解释力却有限,除每股收益增长率外,各变量的相关性与理论分析基本一致.     

试论佛山企业境外投资

企业境外投资应该成为佛山市发展外向型经济的战略任务之一。佛山市企业境外投资,具备着所有权、内部化和区位等方面的相对优势。境外投资是佛山市企业占领国外市场、扩大出口的有力手段;可享受国内外双重的优惠政策和待遇;是增加外汇收入、利用外资的新型方式。九十年代,佛山市企业应注重对东南亚国家的直接投资,对国外高科技,新产品、新服务部门和行业的直接投资。     

关于规范地方财政投融资体系的若干思考

地方财政投融资是以地方政府信用为基础 ,为实现政府基本目标 ,采取有偿融资和投资方式所进行的经济活动及所形成的制度体系。改革开放以来 ,投融资业务对地方经济发展起到了积极作用 ,但由于理论研究的严重滞后 ,以及政策措施不配套 ,地方财政投融资尚处于初步发展阶段 ,我们有必要总结其在发展中面临的问题 ,促进地方财政投融资体系的进一步完善     

人力资本投资与个人收入能力

讨论了人力资本的经济价值，通过建立教育投资模型，训练投资模型及流动投资模型，指出了正规教育投资，在职培训投资，迁移与流动投资对人力资本收入能力的影响。经分析表明，个人的人力资本现时存量与个人的未来收入能力之间存在正相关。