两种时变参数方法估算全要素生产率研究

本文详细介绍了两种时变参数方法估算全要素生产率,相对于传统方法而言,时变参数方法可能更符合实际情况.两种方法中,卡尔曼滤波方法由于对参数初值的依赖性较小,相对较为方便,尤其对于存在不可观测的参数时,具有较大的优越性。多层递阶方法较多的依赖于初值的选择,但是对于某些问题,其残差较卡尔曼滤波小,因此两种方法结合运用,效果较好.     

非参数理论综述

对非参数理论进行了系统地综述.非参数理论中一个比较重要的内容是估计方法,常见的非参数估计方法有核估计、局部多项式估计、近邻估计等.光滑参数的选取、"维数灾难"与边界点问题也是与非参数理论有关的重要内容,也对这些方面进行综述.最后,文章还综述了非参数技术在时间序列模型中的有关应用问题.     

非参数方法估计分位数模型的研究综述

目前国内对于线性分位数回归模型的研究及其应用正在火热进行中,而非参数计量方法由于其优越性也受到越来越多人的重视,但对于两种方法结合应用的相关研究才刚刚开始.对于目前国内外已有的以及正在发展中的非参数方法估计分位数回归模型做了一个综述,包括理论综述及实证应用综述,其中重点介绍了此方面研究的前沿理论:Li and Racine关于非参数估计条件累积分布函数(CDF)和分位函数的研究.通过介绍,希望对于我国非参数估计分位数回归模型方法的研究和应用有所裨益.     

基于DEA和SFA的我国商业银行效率研究

本文利用板块数据,分别采用非参数前沿法中的DEA法和参数前沿法中的SFA法对我国十四家商业银行1997-2001期间的综合效率进行了测度,在此基础上对两种方法测度出的银行效率值排序进行了相关分析和一致性检验,结果表明两种方法测度出的银行效率在数值上有显著差异,但在是效率排序上具有很好的一致性。     

基于半参数随机成本前沿方法的道路运输企业成本无效率研究——以山西公路客运企业为例

传统参数方法在模型设定上过于严格,不贴近现实,忽视了政策等环境变量对我国道路运输企业成本效率的柔性影响,造成估计的偏差。本文结合参数与非参数方法,将传统的柯布道格拉斯随机成本前沿函数模型拓展为一个柔性的、半参数随机成本前沿面板数据模型,应用到考察道路运输企业成本效率这一关键指标研究中。该模型充分考虑到企业异质性和时间等变量对成本边界造成的非中性移动,其技术参数都设定为企业异质效应和时间效应的光滑函数,无效率项被分解为企业特质和时间特质两部分,生产率变化被分解为无效率变化,技术变革和规模变化三部分。通过对山西省公路客运企业成本效率的实证分析发现半参数模型较参数模型估计结果良好。无效率变化指数随时间普遍降低,表明在研究期间效率普遍提高。输入价格的变化,在样本期间下降的趋势大于增加的趋势,技术变革的速度随时间变化非常大,在道路客运环境不成熟完善的环境中,山西道路运输行业经历了快速的技术进步(成本降低)。学习效应导致的技术无效率以及技术进步,有助于生产率的增长(成本降低),而这些促进是以柔性的方式展现的,并随时间变化。     

技术进步效率测度模型的构建及应用

技术进步是影响经济增长的决定性因素,因此,技术进步的测度成为一个重要的研究问题。然而,技术进步的测度到目前为止还没有统一和令人信服的方法。本文使用DEA方法,基于理想生产前沿面构建了技术进步效率测度模型。技术进步效率测度模型是技术进步度量的一种新方法,是一个相对量的测量,规避了技术进步总量测算模型的一些缺陷。将模型用于测算我国1999～2008年的技术进步效率,测算结果表明我国大多数地区技术进步效率呈逐年上升的趋势,经济产出较高而同时消耗了较低资源投入的省份具有较高的技术进步效率。这说明低消耗的技术进步才是有效的,能够有效支撑经济的可持续发展。     

连锁分析的非参数方法研究进展

连锁分析是基因定位研究中广泛采用的一种方法。按分析方法的不同,大致分为参数&非参数的两类。本文拟就连锁分析的非参数方法研究进展做一简要介绍。     

两参数指数-威布尔分布形状参数的经验贝叶斯估计

研究了两参数指数-威布尔分布形状参数的经验贝叶斯(EB)估计问题,并假定当其中一个形状参数α已知时,给出了另一个形状参数θ在两种不同损失函数情况下的EB估计的表达式.并运用随机模拟方法,将两种不同损失函数下的EB估计进行了比较.     

中国区域全要素能源效率及节能减排潜力分析—基于非期望产出的SBM模型

运用DEA-SBM模型测度了碳排放约束下1999年-2010年中国30省、市、区及四大区域的全要素能源效率,并利用变异系数及K-Means聚类分析考察了区域全要素能源效率的差异,最后对各省份及区域的节能减排潜力进行了测度分析.研究结果表明:不考虑碳排放约束的各省份的全要素能源效率被高估,绿色能源效率总体均值呈现U型趋势;绿色能源效率的区域格局按照由东向西递减.四大区域的变异系数差异较大,均呈现收敛趋势;由聚类分析结果可知处于高效区的省份全部为东部沿海省份;中效区的省份大多是中部省市及东北老工业基地,而西部区域的各省份多数处于低效区;不同省份的节能减排的潜力差异较大,西部区域的节能减排潜力最高,其次为中部和东北部,东部的节能减排潜力最低.     

同步电机定子绕组不对称状态的分析方法——Ⅱ.参数的计算方法

参数计算是分析电机绕组不对称状态的关键问题。用多回路法分析同步电机定子绕组不对称状态时所用的参数,与绕组正常时的参数不同,它包括定子绕组每个支路、转子各阻尼回路和励磁绕组的自感系数和互感系数。定子支路参数可以由单个线圈参数组成。本文在考虑铁心饱和的情况下,研究了参数计算的两种方法,即气隙磁导分析法和磁场数值分析法,并将它们应用于实际电机的计算,验证和比较了两种计算方法。     

Teacher time out as a site for studying mathematical knowledge for teaching

The special mathematical knowledge that is needed for teaching has been studied for decades but the methods for studying it have challenges. Some methods, such as measurement and cognitive interviews, are removed from the dynamics of teaching. Other methods, such as observation, are closer to practice but mostly involve an outsider perspective. Moreover, few methods tap into the tacit and often invisible demands that teachers encounter in teaching. This article develops an argument that teacher time outs in rehearsals and enactments might be a productive site for studying mathematical knowledge for teaching. Teacher time outs constitute a site for professional deliberation, which 1) preserves the complexity and gets inside the dynamics of teaching, where 2) tacit and implicit challenges and demands are made explicit, and where 3) insider and outsider perspectives are combined.     

An axiomatic approach to noncompensatory sorting methods in MCDM,I: The case of two categories

In the literature on MCDM, many methods have been proposed in order to sort alternatives evaluated on several attributes into ordered categories. Most of them were proposed on an ad hoc basis. The purpose of this paper is to contribute to a recent trend of research aiming at giving these methods sound theoretical foundations. Using tools from conjoint measurement, we provide an axiomatic analysis of the partitions of alternatives into two categories that can be obtained using what we call “noncompensatory sorting models”. These models have strong links with the pessimistic version of ELECTRE TRI. Our analysis allows to pinpoint what appears to be the main distinctive features of ELECTRE TRI when compared to other sorting methods. It also gives hints on the various methods that have been proposed to assess the parameters of ELECTRE TRI on the basis of assignment examples.     

Error analysis of variable degree mixed methods for elliptic problems via hybridization

A new approach to error analysis of hybridized mixed methods is proposed and applied to study a new hybridized variable degree Raviart-Thomas method for second order elliptic problems. The approach gives error estimates for the Lagrange multipliers without using error estimates for the other variables. Error estimates for the primal and flux variables then follow from those for the Lagrange multipliers. In contrast, traditional error analyses obtain error estimates for the flux and primal variables first and then use it to get error estimates for the Lagrange multipliers. The new approach not only gives new error estimates for the new variable degree Raviart-Thomas method, but also new error estimates for the classical uniform degree method with less stringent regularity requirements than previously known estimates. The error analysis is achieved by using a variational characterization of the Lagrange multipliers wherein the other unknowns do not appear. This approach can be applied to other hybridized mixed methods as well.

     

On the Newton Interior-Point Method for Nonlinear Programming Problems

Interior-point methods have been developed largely for nonlinear programming problems. In this paper, we generalize the global Newton interior-point method introduced in Ref. 1 and we establish a global convergence theory for it, under the same assumptions as those stated in Ref. 1. The generalized algorithm gives the possibility of choosing different descent directions for a merit function so that difficulties due to small steplength for the perturbed Newton direction can be avoided. The particular choice of the perturbation enables us to interpret the generalized method as an inexact Newton method. Also, we suggest a more general criterion for backtracking, which is useful when the perturbed Newton system is not solved exactly. We include numerical experimentation on discrete optimal control problems.     

Trace optimization and eigenproblems in dimension reduction methods

This paper gives an overview of the eigenvalue problems encountered in areas of data mining that are related to dimension reduction. Given some input high‐dimensional data, the goal of dimension reduction is to map them to a low‐dimensional space such that certain properties of the original data are preserved. Optimizing these properties among the reduced data can be typically posed as a trace optimization problem that leads to an eigenvalue problem. There is a rich variety of such problems and the goal of this paper is to unravel relationships between them as well as to discuss effective solution techniques. First, we make a distinction between projective methods that determine an explicit linear mapping from the high‐dimensional space to the low‐dimensional space, and nonlinear methods where the mapping between the two is nonlinear and implicit. Then, we show that all the eigenvalue problems solved in the context of explicit linear projections can be viewed as the projected analogues of the nonlinear or implicit projections. We also discuss kernels as a means of unifying linear and nonlinear methods and revisit some of the equivalences between methods established in this way. Finally, we provide some illustrative examples to showcase the behavior and the particular characteristics of the various dimension reduction techniques on real‐world data sets. Copyright © 2010 John Wiley & Sons, Ltd.     

Rational radial basis function interpolation with applications to antenna design

Functions with poles occur in many branches of applied mathematics which involve resonance phenomena. Such functions are challenging to interpolate, in particular in higher dimensions. In this paper we develop a technique for interpolation with quotients of two radial basis function (RBF) expansions to approximate such functions as an alternative to rational approximation. Since the quotient is not uniquely determined we introduce an additional constraint, the sum of the RBF-norms of the numerator and denominator squared should be minimal subjected to a norm condition on the function values. The method was designed for antenna design applications and we show by examples that the scattering matrix for a patch antenna as a function of some design parameters can be approximated accurately with the new method. In many cases, e.g. in antenna optimization, the function evaluations are time consuming, and therefore it is important to reduce the number of evaluations but still obtain a good approximation. A sensitivity analysis of the new interpolation technique is carried out and it gives indications how efficient adaptation methods could be devised. A family of such methods are evaluated on antenna data and the results show that much performance can be gained by choosing the right method.     

ACCELERATION METHODS OF NONLINEAR ITERATION FOR NONLINEAR PARABOLIC EQUATIONS

This paper discusses the accelerating of nonlinear parabolic equations. Two iterative methods for solving the implicit scheme new nonlinear iterative methods named by the implicit-explicit quasi-Newton （IEQN） method and the derivative free implicit-explicit quasi-Newton （DFIEQN） method are introduced, in which the resulting linear equations from the linearization can preserve the parabolic characteristics of the original partial differential equations. It is proved that the iterative sequence of the iteration method can converge to the solution of the implicit scheme quadratically. Moreover, compared with the Jacobian Free Newton-Krylov （JFNK） method, the DFIEQN method has some advantages, e.g., its implementation is easy, and it gives a linear algebraic system with an explicit coefficient matrix, so that the linear （inner） iteration is not restricted to the Krylov method. Computational results by the IEQN, DFIEQN, JFNK and Picard iteration methods are presented in confirmation of the theory and comparison of the performance of these methods.     

An axiomatic analysis of concordance–discordance relations

Outranking methods propose an original way to build a preference relation between alternatives evaluated on several attributes that has a definite ordinal flavor. Indeed, most of them appeal the concordance/non-discordance principle that leads to declaring that an alternative is “superior” to another, if the coalition of attributes supporting this proposition is “sufficiently important” (concordance condition) and if there is no attribute that “strongly rejects” it (non-discordance condition). Such a way of comparing alternatives is rather natural. However, it is well known that it may produce binary relations that do not possess any remarkable property of transitivity or completeness. This explains why the axiomatic foundations of outranking methods have not been much investigated, which is often seen as one of their important weaknesses. This paper uses conjoint measurement techniques to obtain an axiomatic characterization of preference relations that can be obtained on the basis of the concordance/non-discordance principle. It emphasizes their main distinctive feature, i.e. their very crude way to distinguish various levels of preference differences on each attribute. We focus on outranking methods, such as ELECTRE I, that produce a reflexive relation, interpreted as an “at least as good as” preference relation. The results in this paper may be seen as an attempt to give such outranking methods a sound axiomatic foundation based on conjoint measurement.     

贝叶斯方法在信用风险度量中的应用研究综述

贝叶斯方法可以有效的处理信用风险度量中常见的数据缺失问题,而且为科学使用专家意见等主观经验提供了有效途径,已被广泛应用于信用风险度量领域。本文从模型构建、估计方法及模型比较三个方面对应用贝叶斯方法度量信用风险的重要文献进行综述,重点关注信用风险的违约相关性和风险蔓延性等最新研究热点,为深入研究信用风险度量问题提供参考,并引起国内风险分析人员对贝叶斯方法的兴趣。     

A mapping strategy for the identification of structural systems

In this paper an alternative approach for identification problems is discussed. Unlike existing methods, this new approach combines in a general way finite differences and function approximation and is herein used for the identification of a particular system in structural dynamics, that is the damped Duffing oscillator subject to a swept-sine excitation. The solution obtained by means of the proposed method has been compared with the one obtained by a neural network. The present method gives better results at a low computational cost, with the advantage of solutions in explicit form. Besides, it is possible to prove that the solutions are stable and that from this new approach one can deduce, as a particular case, the approximation previously proposed by other authors.