Identification with latent variables

This is an essay on a unified approach to the identifiability problem in static models with and without hidden endogenous variables. As is well known, when some of these variables are unobserved, the prior information requirements for models when all endogenous variables are observed, are still there. In addition, extra prior information that takes the place of the means and covariances of the missing variables will have to be supplied directly or indirectly by the statistical researcher. In the paper we characterize the quality and quantity of the required information for the general linear static model and apply it when the model is i) an econometric demand and supply model with missing observations on the quantity transacted, ii) a factor analysis model with observed characteristics of the test takers and iii) a LISREL Model without fixed exogenous variables. With unknown true parameters, the exact rank conditions are seldom verifiable but we do recommend an implementable check-list that is adequate for almost all parameters.     

汽车零部件供应物流的区域化整合

针对我国汽车零部件供应物流重复建设、运输系统各成体系兼容性差、互补互惠能力差、成本居高不下等问题,提出了汽车零部件供应物流的区域化整合模型,并通过蒙特卡罗仿真模拟的方法从运输总路程数和成本的角度分析了整合模型的效率。     

Optimal investment with taxes: an existence result

We study the deterministic control problem of maximizing utility from consumption of an agent who seeks to optimally allocate his wealth between consumption and investment in a financial asset subject to taxes on benefits with first-in–first-out priority rule on sales. Short sales are prohibited and consumption is restricted to be non-negative. Such a problem has been introduced in a previous paper by the same authors where the first-order conditions have been derived. In this paper, we establish an existence result for this non-classical optimal control problem.     

Locally minimax test of independence in elliptically symmetrical distributions with additional observations

Summary LetX=(X _ij )=(X ₁, ...,X _n )’,X’ _i =(X _i1, ...,X _ip )’,i=1,2, ...,n be a matrix having a multivariate elliptical distribution depending on a convex functionq with parameters, 0,σ. Let ϱ²=ϱ ₂ ^-2 be the squared multiple correlation coefficient between the first and the remainingp ₂+p ₃=p−1 components of eachX _i . We have considered here the problem of testingH ₀:ϱ²=0 against the alternativesH ₁:ϱ ₁ ^-2 =0, ϱ ₂ ^-2 >0 on the basis ofX andn ₁ additional observationsY ₁ (n ₁×1) on the first component,n ₂ observationsY ₂(n ₂×p ₂) on the followingp ₂ components andn ₃ additional observationsY ₃(n ₃×p ₃) on the lastp ₃ components and we have derived here the locally minimax test ofH ₀ againstH ₁ when ϱ ₂ ^-2 →0 for a givenq. This test, in general, depends on the choice ofq of the familyQ of elliptically symmetrical distributions and it is not optimality robust forQ.     

On the existence of locally mvu estimators

It is proved that there exists an unbiased estimator for some real parameter of a class of distributions, which has minimal variance for some fixed distribution among all corresponding unbiased estimators, if and. only if the corresponding minimal variances for all related unbiased estimation problems concerning finite subsets of the underlying family of distributions are bounded. As an application it is shown that there does not exist some unbiased estimator for θ^k+c(ε≥0) with minimal variance for θ =0 among all corresponding unbiased estimators on the base of k i.i.d. random variables with a Cauchy-distribution, where θ denotes some location parameter.     

Relative Efficiency of the Fuzzy p-Value Approach to Hypothesis Testing

In missing data problems, it is often the case that there is a natural test statistic for testing a statistical hypothesis had all the data been observed. A fuzzy  p -value approach to hypothesis testing has recently been proposed which is implemented by imputing the missing values in the "complete data" test statistic by values simulated from the conditional null distribution given the observed data. We argue that imputing data in this way will inevitably lead to loss in power. For the case of scalar parameter, we show that the asymptotic efficiency of the score test based on the imputed "complete data" relative to the score test based on the observed data is given by the ratio of the observed data information to the complete data information. Three examples involving probit regression, normal random effects model, and unidentified paired data are used for illustration. For testing linkage disequilibrium based on pooled genotype data, simulation results show that the imputed Neyman Pearson and Fisher exact tests are less powerful than a Wald-type test based on the observed data maximum likelihood estimator. In conclusion, we caution against the routine use of the fuzzy  p -value approach in latent variable or missing data problems and suggest some viable alternatives.     

Designer path independent choice functions

Summary. This paper provides an algorithm for the construction of all PICFs on a finite set of alternatives, V, designed by an a priori given set I of initial choices as well as the determination of whether the initial set I is consistent with path independence. The algorithm is based on a new characterization result for path independent choice functions (PICF) on finite domains and uses that characterization as the basis of the algorithm. The characterization result identifies two properties of a partition of the Boolean algebra as necessary and sufficient for a choice function C to be a PICF: (i): For every subset A of V the set is an interval in the Boolean algebra 2 ^V . (ii): If A/B is an interval in the Boolean algebra such that C(A) = C(B) and if M/N is an upper transpose of A/B then C(M) = C(N). The algorithm proceeds by expanding on the implications of these two properties.Received: 5 November 2003, Revised: 20 July 2004, JEL Classification Numbers: D00, D70.     

局部线性嵌入算法在图像处理中的应用

为了避免光照、姿态、附属物等因素对同一个图像矩阵的差异和识别的影响,采用了局部线性嵌入(LLE)算法,首先对图像库里的图像进行光照预处理,再进用LLE运算得到低维图像特征,并通过仿真实验获得了既能使图像识别避免光照等因素的影响,又能使图像识别率有了大幅度的提高,从而得到利用局部线性嵌入算法对图像进行处理的结论。     

民用机场土质区密实度快速检测研究——以广汉机场为例

为了探究使用PFWD在民用机场土质区检测密实度的方法,达到快速检测密实度的目的,根据机场土质区的特点,以广汉机场作为试验场地,结合PFWD对机场土质区填料的动态弹性模量与密实度之间关系进行探究.建立三维有限元模型计算土质区填料不同模量下的力学响应;使用传统方法对PFWD现场测试结果进行验证.研究表明,PFWD测试结果与传统方法实测密实度所得结果之间的相差比较小,PFWD可用于广汉机场土质区密实度快速检测.     

Regional engagement of locally anchored firms and its influence on socio-economic development in two peripheral regions over time

Abstract

This article sets out to explore the ways locally anchored firms in peripheral regions influence regional social capital through regional engagement and how this contributes to socio-economic development. Through regional engagement firms shape regional contexts by generating concrete outcomes, such as setting up schools (structural aspect) and by possibly influencing regional bonding and bridging social capital (social aspect). To examine the effects of regional engagement and its possible influence on bonding and bridging social capital of regional firms, an analytical framework is developed distinguishing between inclusive/exclusive agency for inclusive/exclusive benefit. This article focuses on regional engagement in two Swiss peripheral regions, which have followed different development paths in spite of their common institutional framework and geographical proximity. This study aims to gain insight into the ‘how’ of regional engagement and its influence on regional social capital and to examine the assumption of higher levels of regional social capital in a dynamic region from a long-term perspective (ca. 1850–2015). The findings of the qualitative research show that the dynamic Rhine Valley indeed disposes of higher levels of regional social capital than the less dynamic Toggenburg, which is related to the willingness of firms and other actors to collaborate for regional interests.