Normal Approximation Rate of the Kernel Smoothing Estimator in a Partial Linear Model

By establishing the asymptotic normality for the kernel smoothing estimatorβ_nof the parametric componentsβin the partial linear modelY=X′β+g(T)+, P. Speckman (1988,J. Roy. Statist. Soc. Ser. B50, 413–456) proved that the usual parametric raten^−1/2is attainable under the usual “optimal” bandwidth choice which permits the achievement of the optimal nonparametric rate for the estimation of the nonparametric componentg. In this paper we investigate the accuracy of the normal approximation forβ_nand find that, contrary to what we might expect, the optimal Berry–Esseen raten^−1/2is not attainable unlessgis undersmoothed, that is, the bandwidth is chosen with faster rate of tending to zero than the “optimal” bandwidth choice.     

汉字的平滑放大技术

介绍一项在点阵汉字字模显示或打印中进行平滑放大的技术－三角形填充法，论述了该方法的特点、原理、实现过程及其局限性，并讨论了点阵汉字放大输出的有关问题。     

指数平滑系数的优化研究

通过对指数平滑系数的研究,提出了平滑系数的优化确定方法;并将优化后的指数平滑系数在我国煤炭产量的预测中得以验证.     

Robust regression function estimation

A robust estimator of the regression function is proposed combining kernel methods as introduced for density estimation and robust location estimation techniques. Weak and strong consistency and asymptotic normality are shown under mild conditions on the kernel sequence. The asymptotic variance is a product from a factor depending only on the kernel and a factor similar to the asymptotic variance in robust estimation of location. The estimation is minimax robust in the sense of Huber (1964). Robust estimation of a location parameter. Ann. Math. Statist.33 73–101.     

Inductive Detection for Homotopy Equivalences of Manifolds

Let f:M N be a homotopy equivalence of CAT manifolds M and N (CAT := PL, TOP or DIFF) with finite fundamental groups. Each subgroup H 1(M) determines a homotopy equivalence fH:MH NH of the corresponding covering spaces. Suppose now that for each subgroup H in some particular class C (for example: elementary, hyperelementary or solvable) fH is homotopic to a CAT isomorphism. The general problem studied in this paper can be formulated as follows: If each map fH as above is homotopic to a CAT isomorphism, under what additional conditions on M, C and CAT is f itself (or f × idR) homotopic (properly homotopic) to a CATisomorphism?     

同态滤波器在水下图像对比度增强中的应用

由于受水下照明条件的限制，水下图像一般都有比较严重的由光照不均匀引起的图像降质，同态滤波可以有效地减少亮度不均匀，并对感兴趣的景物进行有效增强。首先使用基于照明反射模型的同态滤波方法，在简要介绍模型的原理、实现过程和特点的基础上，给出了适用的滤波模型和表达式，引入基于小波变换的同态滤波方法，采用高通滤波对小波变换域系数进行处理，在保持图像总体原貌的基础上对图像局部对比度增强效果显著。     

N(2,2,0)代数的一个商代数

在N( 2 ,2 ,0 )代数S中引入了一个同余关系～ ,从而建立了商代数S/～ ,并讨论了自然同态π的性质     

一种用于虹膜识别的相位匹配算法

虹膜识别是一种非侵犯性的人类身份识别技术 .在虹膜自动识别过程中 ,特征的分析和匹配是非常重要的部分 .此文讨论了虹膜图像定位、增强等预处理的方法 ,并提出了一种相位相关的匹配算法对虹膜图像进行识别和判断 .实验证明 ,该方法运算速度较快 ,并有较高的识别率 ,效果良好 .     

电力系统中长期负荷预测的模糊算法

介绍了用模糊指数平滑法和模糊线性回归法进行电力系统中长期负荷预测的方法，以实际预测为例，给出预测结果，实践证明了上述2种方法虽然以传统预测方法为基础，但具有算法简单，计算速度快，预测精度高，预测误差小，并能提供负荷的一个预测区间等优点，尤其在原始数据存在不确定性和模糊性时，更有着常规预测方法无可比拟的优越性。