Asymptotically optimal estimation of smooth functionals for interval censoring, part 2

Estimation in the interval censoring model is considered. A class of smooth functionals is introduced, of which the mean is an example. We consider case 2, with two observation times for each unobservable event time, in the situation that the observation times cannot become arbitrarily close to each other. It is proved that the nonparametric maximum likelihood estimator of the functional asymptotically reaches the information lower bound.     

积分第一中值定理的证明与推广

本文根据积分上限函数的性质利用微分中值定理证明了积分第一中值定理,用改进的介值定理证明了ξ∈(a,b),并推广了积分第一中值定理。     

Analysis of Error with Malliavin Calculus: Application to Hedging

The aim of this paper is to compute the quadratic error of a discrete time-hedging strategy in a complete multidimensional model. This result extends that of Gobet and Temam (2001) and Zhang (1999) . More precisely, our basic assumption is that the asset prices satisfy the d -dimensional stochastic differential equation   dXⁱ_t = Xⁱ_t ( bⁱ ( X_t ) dt +σ _{i , j} ( X_t ) dW^j_t )  . We precisely describe the risk of this strategy with respect to n , the number of rebalancing times. The rates of convergence obtained are     for any options with Lipschitz payoff and  1/ n ^1/4  for options with irregular payoff.     

积分定义及对称性

本文给出了线、面、体积分定义的一般描述,并导出了利用对称性简化积分计算的定理。     

关于曲线积分和曲面积分教学中几个难点的突破

加强曲线、曲面积分概念讲解,标准化曲线、曲面积分的计算程序,沟通有关积分之间关系,以消除学生 对斯托克斯等公式的深奥感,有效地突破了曲线、曲面积分教学中的几个难点。     

建筑企业系统内部工程整体分包行为研究

论文主要针对我国的大型建筑企业或者企业集团在承包的项目中出现的内部分包行为进行分析，对各种具体行为进行了归纳与定性。文中分析了其产生的背景与原因，以及可能导致的问题。希望能够有助于企业正确认识这种行为及其后果，及时调整企业经营策略。同时有助于有关主管部门的调控和管理。     

CHOQUET PRICING FOR FINANCIAL MARKETS WITH FRICTIONS1

In markets where dealers play a central role, bid-ask spreads inhibit asset valuation as defined by the formation cost of a replicating portfolio. We introduce a nonlinear valuation formula similar to the usual expectation with respect to the risk-adjusted probability measure. This formula expresses the asset's selling and buying prices set by dealers as the Choquet integrals of their random payoffs We investigate several price puzzles: the violation of the put-call parity and the fact that the components of a security can sell at a premium to the underlying security (primes and scores).     

An axiomatic approach to \boldsymbol{\varepsilon}-contamination

Summary.  Suppose that an economic agent is 100% certain that uncertainty she faces is characterized by a particular probability measure, but that she has a fear that, with 100% chance, her conviction is completely wrong and she is left perfectly ignorant about the true measure in the present as well as in the future. This situation is often called -contamination of confidence. The purpose of this paper is to provide a simple set of behavioral axioms under which the decision-makers preference is represented by the Choquet expected utility with the -contamination of confidence.Received: 25 November 2002, Revised: 15 November 2004, JEL Classification Numbers:   D81. Correspondence to: Hiroyuki OzakiWe are grateful to an anonymous referee. The referees comments greatly improved the exposition of the paper. The work reported here is partially supported by a grant from the Economic and Social Research Insitute, the Cabinet Office, the Government of Japan.     

基于制造业转型下的多属性关联的产品服务方案决策研究

受当下企业产业链扩展的影响,制造业正处于转型升级的关键时期,服务型制造业已成为制造企业获取市场竞争优势的主要手段,主要为客户提供产品服务方案来满足客户个性化需求,产品模块与服务模块如何组成已成为决定服务型制造企业能否转型成功的关键所在。本文以产品服务系统方案的形成过程为基础,刻画了产品模块与服务模块的选取过程,基于Choquet积分算子构建了在产品服务属性相关联下的产品模块与服务模块的决策模型,并给出了相应求解方法,最后通过算例验证了该理论的实践性。研究结果表明:产品模块与服务模块属性的关联性有助于实施产品服务方案,解决客户问题。     

基于自适应相关滤波器的人眼定位改进方法

人眼定位是人脸识别、视觉跟踪系统中一个关键步骤。针对传统人眼定位方法定位精度低、误差稳定性差的问题,提出将自适应相关滤波器与灰度积分投影法相结合,在训练和测试阶段做了两点改进。首先对训练得到的自适应相关滤波器,在\[-0.2,-0.1,0,0.1,0.2\]角度范围内旋转得到5个滤波器,选择灰度最大值对应的位置作为初始定位点,然后在该定位点的5×5邻域内,水平和垂直方向分别做灰度积分投影,最后选择积分最小值的位置作为最终的目标定位点。与平均合成精确滤波器、最小输出平方误差和滤波器、自适应合成相关滤波器算法相比,改进算法的定位精度最大提高2.9%,平均绝对误差和标准差均低于原始算法。实验结果表明,提出的改进算法在定位精度和稳定性上均优于以上算法。