R连续性的一个命题与应用

给出实数集R连续性的一个新命题 :R中单调有界网存在极限 ,并用此命题给出了Riemann积分学中达布定理的简单证明 ,研究了Riemann积分的可积准则等     

Nonparametric Instrumental Variables Estimation of a Quantile Regression Model

We consider nonparametric estimation of a regression function that is identified by requiring a specified quantile of the regression “error” conditional on an instrumental variable to be zero. The resulting estimating equation is a nonlinear integral equation of the first kind, which generates an ill‐posed inverse problem. The integral operator and distribution of the instrumental variable are unknown and must be estimated nonparametrically. We show that the estimator is mean‐square consistent, derive its rate of convergence in probability, and give conditions under which this rate is optimal in a minimax sense. The results of Monte Carlo experiments show that the estimator behaves well in finite samples.     

Enhanced adaptive CUSUM charts for process mean

A statistical quality control chart is an important tool of the statistical process control, which is widely used to control and monitor a production process. The CUSUM chart is designed to detect a specific shift, provided that the shift size is known in advance. In practice, however, shift sizes are rarely known. It is then customary to use an adaptive CUSUM chart, which can effectively detect a range of shift sizes. In this paper, we enhance the sensitivities of the improved adaptive CUSUM mean charts using an auxiliary-information-based (AIB) mean estimator. The run length performances of the proposed charts are compared with those of the AIB adaptive and non-adaptive CUSUM charts in terms of the average run length (ARL), extra quadratic loss, and integral relative ARL. These run length comparisons reveal that the proposed charts are more sensitive than the existing charts when detecting different kinds of shift in the process mean. An example is given to demonstrate the implementation of existing and proposed charts.     

整体观视野中的电影艺术论

对电影的认识历来表现为有机整体与机械整体两种不同取向.中国电影叫好不叫座或叫座不叫好的现象的实质是机械整体思维方式下的电影综合艺术观的反映.有机整体论视野中的电影创作虽需综合各种艺术手段,但它是各部分协调合作和精妙秩序下整合效应(即新质)的产生;电影审美接受中,人的知觉系统是按照一定的规律形成和组织起来的整体,而不是感觉元素的拼凑.     

(O,m)三角插值的推广

通过在结点处对函数和它的积分的同时插值 ,将文 [1]的 ( 0 ,m)三角插值进行推广 ,引进了一类新的三角插值 ,并给出插值基函数的表达式 .     

新工科背景下的“摄影测量学”课程教学模式探索

“摄影测量学”作为测绘类专业的核心专业基础课之一,具有很强的理论与实践性。目前,高校普遍存在教学与生产实际脱节、学生自主学习不足、创新实践能力不强等问题。通过将“新工科”的教育理念与内涵融入教学内容、教学方法及实践教学各环节中并进行改革,构建“四位一体”立体化教学模式,可以使学生能够真正获得满足专业需求的知识和能力,适应新时代测绘人才培养的需求。     

环圈结构的研究

环圈结构这新种型慢波结构具有一系列独特的优点。本文在文献[1]的基础上对它继续进行深入研究,利用格林函数给出了积分方程解,讨论了该结构的色散方程,从这个色散方程出发,研究环结构、介质环圈支持的环圈结构与环杆线。并利用这种系统的场论解导出了环圈结构中的功率流和耦合阻抗的表达式,以及对环圈结构的耦合阻抗进行了详细的讨论。作为其特例,本文还研究了环杆线与环结构的耦合阻抗。本文所得的一系列结果为利用这类慢波结构提供了依据。     

EXACT DISTRIBUTION OF CERTAIN GENERAL TEST STATISTICS IN MULTIVARIATE ANALYSIS

In this paper, exact solution of Wilks' type-B integral equation has been obtained in its most general form as a series of weighted gamma distributions. This general result then gives the distributions of many test statistics in multivariate analysis. In particular the distributions of Wilks' Λ, the sphericity test criterion, and Bartlett's test statistic, are derived in easily computable form.     

论儒家生态伦理思想的非现实性

儒家生态伦理思想只是一种崇高的精神境界，其特征是人与自然高度和谐并融为一体，这正是它的非现实性或空想性：强调天人合一、消弥天人对立；主张利用自然，但反对探究自然规律；脱离众生实践，缺乏现实可行性。儒家生态伦理思想有其价值，但很难在现实的环保实践中发挥作用。     

Numerical evaluation of observed sojourn time distributions for a single ion channel incorporating time interval omission

The dynamical aspects of single ion channel gating can be modelled by a semi-Markov process. There is aggregation of states, corresponding to the receptor channel being open or closed, and there is time interval omission, brief sojourns in either the open or closed classes of states not being detected. This paper is concerned with the computation of the probability density functions of observed open (closed) sojourn-times incorporating time interval omission. A system of Volterra integral equations is derived, whose solution governs the required density function. Numerical procedures, using iterative and multistep methods, are described for solving these equations. Examples are given, and in the special case of Markov models results are compared with those obtained by alternative methods. Probabilistic interpretations are given for the iterative methods, which also give lower bounds for the solutions.