The Covariance Adjusted Location Linear Discriminant Function for Classifying Data with Unequal Dispersion Matrices in Different Locations

Classification between two populations dealing with both continuous and binary variables is handled by splitting the problem into different locations. Given the location specified by the values of the binary variables, discrimination is performed using the continuous variables. The location probability model with homoscedastic across location conditional dispersion matrices is adopted for this problem. In this paper, we consider presence of continuous covariates with heterogeneous location conditional dispersion matrices. The continuous covariates have equal location specific mean in both populations. Conditional homoscedasticity fails when strong interaction between the continuous and binary variables is present. A plug-in covariance adjusted rule is constructed and its asymptotic distribution is derived. An asymptotic expansion for the overall error rate is given. The result is extended to include binary covariates.     

一种新的动态波长分配算法

本对负荷均衡的动态波长分配算法进行研究．指出目前算法的不足之处，提出了一种改进算法．通过比较，新算法更能准确的考虑分配波长对整个网络的影响，提高了波长利用率．     

Singularity formation during relaxation of jets and fronts toward the state of geostrophic equilibrium

Relaxation of rectilinear jets and fronts towards the state of geostrophic equilibrium (geostrophic adjustment) is studied in three models of increasing complexity. In the one-dimensional rotating shallow water model we perform high-resolution numerical simulations of adjustment and show that wave-breaking and shock formation in the jet core are ubiquitous. We show that adjusted final states are attained in the cases where their existence is not guaranteed by the theory.In the two-layer rotating shallow water model, we show how the baroclinic effects change the scenario of adjustment. We establish criteria of existence and uniqueness of the adjusted states and demonstrate that the adjustment process can lead to a state where the jet traps the fast oscillations. Symmetric instability is shown to appear for strong enough jets.In the full continuously stratified primitive equations model we analyze the final states of the relaxation process by using the Lagrangian variables. We demonstrate that existence of the adjusted state is further restricted as compared to the previous models and show that singularity formation on route to the geostrophic equilibrium is generic.     

双二项风险模型的破产概率

首先将经典的复合二项风险模型推广到保费到达过程与个体索赔过程是两个相互独立的二项过程的一种新模型，然后运用两种方法得出破产概率满足的一般公式和Lundberg不等式．     

六维参数的图形定位方法的研究

在汽车车身整体误差检测技术中 ,由于没有标准车身 ,但需要按照标准车身的特征点、线、面位置 ,快速调整、高精度定位二维视觉传感器。提出了对六维参数进行综合调整的图形定位方法 ,该方法使仪器调整直观 ,便捷 ,精度高。采用了空心正四面体的棱边代表标准汽车车身的棱边来设置传感器 ,能够在没有标准车身的情况下 ,通过调整显示在计算机屏幕上的两个图形的重合 ,对二维视觉传感器的六维参数同时进行调整。     

GPS在西安市地面沉降与地裂缝监测中的应用研究

本文从GPS监测网的布网原则和设计方案出发,对GPS外业观测和内业数据处理中的关键技术进行了深入研究,提出了一套适用于大城市地面沉降与地裂缝灾害监测的作业方法和数据处理方案。通过西安地区地面沉降和地裂缝的GPS监测实践,证明了本文提出的监测网的布设原则、GPS外业施测和内业数据处理方案是切实可行的,并且通过GPS监测获取了西安地面沉降和地裂缝近期活动的有关数据信息,且其与精密水准结果具有很好的一致性。     

杨氏模量仪快速调节十字诀

在不添加任何辅助设施并考虑减小系统误差的前提下,由实践总结出来拉伸法测杨氏模量实验调节十字决,为快速调节杨氏模量试验仪提供了一个可行策略。     

索赔相关的Poisson-Geometric风险模型研究

研究了保费到达为复合Poisson-Geometric过程的索赔相关风险模型,通过模型转化得到了破产概率的表达式及其上界.进一步地,将模型推广为带干扰的情形,得到了相应的结果.     

约束式赋权与基于指标得分的权重调整方法研究

在评价中经常会出现评价者对某些关键评价指标有特定要求或评价结果的预期,数学分析表明由这些要求或预期提出的约束蕴含着该指标的临界权重,且可以通过最优化方法求解临界权重并据此进行约束式赋权.在评价具体对象时,评价指标得分的分布情况会影响评价结果,由此提出根据全部评价指标的标准偏差和最低得分指标的离差对权重进行调整的方法.     

C2 Continuous Quartic Hermite Spline Curves with Shape Parameters

In order to relieve the deficiency of the usual cubic Hermite spline curves, the quartic Hermite spline curves with shape parameters is further studied in this work. The interpolation error and estimator of the quartic Hermite spline curves are given. And the characteristics of the quartic Hermite spline curves are discussed. The quartic Hermite spline curves not only have the same interpolation and conti-nuity properties of the usual cubic Hermite spline curves, but also can achieve local or global shape adjustment and C2 continuity by the shape parameters when the interpolation conditions are fixed.