The Berry–Esseen bounds of the weighted estimator in a nonparametric regression model

Consider the following nonparametric model: \(Y_{ni}=g(x_{ni})+ \varepsilon _{ni},1\le i\le n,\) where \(x_{ni}\in {\mathbb {A}}\) are the nonrandom design points and \({\mathbb {A}}\) is a compact set of \({\mathbb {R}}^{m}\) for some \(m\ge 1\), \(g(\cdot )\) is a real valued function defined on \({\mathbb {A}}\), and \(\varepsilon _{n1},\ldots ,\varepsilon _{nn}\) are \(\rho ^{-}\)-mixing random errors with zero mean and finite variance. We obtain the Berry–Esseen bounds of the weighted estimator of \(g(\cdot )\). The rate can achieve nearly \(O(n^{-1/4})\) when the moment condition is appropriate. Moreover, we carry out some simulations to verify the validity of our results.

     

A New Method of Testing and Evaluating the Quality of Refined Montan Wax: Digital Color and GC Fingerprint

To establish a new method of testing and evaluating the quality of refined montan wax (RMW), digital color and GC fingerprint technology were introduced and applied. CIE Lab color mode was used to digitize the exterior colors of RMW, and the score obtained through a fitting function was also used to reflect its quality. It is shown that they were in complete accord with the human visual perception trend. The GC fingerprint was used to characterize the internal chemical information of RMW, and the composition of its internal features was reflected through the relative retention time (RRT) and relative peak area (RPA) values. It is shown that there was a high degree of similarity between the fingerprints, while certain differences also existed. This can be used to implement effective application of RMW to aspects such as quality control, adulteration identification, and origin attributions.

     

清明上河园游客行为及经营对策研究

主题公园必须有鲜明的主题，清明上河园突出宋文化，1998年开园以来取得了一定的效益，但还存在不少问题，针对清明上河园的经营现状，为了该园更好的发展，通过问卷调查的方式系统地了解了清明上河园的游客行为，在详细分析游客行为的基础上，对该园的经营提出了建设性对策。     

交变磁场对磁性磨粒的作用分析

对处于交变磁场作用下的磁性磨料颗粒的受力和运动规律进行了分析和描述，为交变磁场作用下的磁粒研磨光整加工技术提供了新的思路和工艺选择。     

用DDM实现分布式三维虚拟环境

介绍了HLA中数据分发管理(DDM)的过滤原理;研究分析了目前几种实现DDM过滤机制的方法及其存在的问题,并提出一种简单易行的DDM实现策略,以实现三维虚拟环境的分布式,来提高它的响应速度.     

完全非相干白光一维光生伏打暗空间孤子

使用白炽灯作光源在LiNbO₃∶Fe晶体内实验观察到一维白光光生伏打暗空间孤 子. 由奇数 和偶数初始条件分别产生了灰孤子和灰孤子对，它们所感应的波导能导向白光和相干光. 用 相干光清楚地探测到它们内部的多模结构. 该实验证明了白光光生伏打暗空间孤子的存在， 并指出了用完全非相干的白光暗孤子控制和导向相干光的可能性. 关键词： 光生伏打效应 自陷 完全非相干孤子 波导     

如何发挥举报在反腐败中的作用

举报是宪法赋予公民的权利,举报在反腐败工作中发挥着重要作用,检察机关查办案件大量线索都来源于群众举报,但现实情况下存在着不敢实名举报等许多令人担忧的问题,造成这一现状的主要原因是害怕打击报复。针对这些问题,作者提出要给举报人以实质性的保护,采取和推广网上举报等举措,以更好地发挥举报在反腐败中的作用。