Asymptotic properties of randomly indexed sequences of random variables

Conditions are given for a randomly indexed sequence of random variables to converge weakly. The key concept employed is the so-called generalized Anscombe condition. The results give a method of determining sequential stopping rules, which have the required accuracy of estimation of an unknown parameter in the case when the observations are not necessarily independent and identically distributed.     

The function space D([O, ∞)ρ, E)

The Skorokhod topology is extended to the function space D([0, ∞)ρ, E) of functions, from [0, ∞)ρ to a complete separable metric space E, which are “continuous from above with limits from below. Criteria for tightness are developed. The case in which E is a product space is considered, and conditions under which tightness may be proven componentwise are given. Various applications are studied, including a multidimensional version of Donsker's Theorem, and a functional Central Limit Theorem for a multitype Poisson cluster process.     

从关联理论看对等原则的局限性

对等原则是翻译理论中的一个基本概念 ,也是当前翻译研究中的热点问题之一。尽管对等原则被广泛地探讨、应用 ,但其是否能运用于一切文本翻译 ?译文本能否达到真正的完全等值 ?本文力求依据关联理论 ,并结合英汉翻译实例 ,试图论述对等原则的局限性 ,最后得出结论 :等值只能是相对的、近似的 ,不等值才是绝对的 ;译文的质量取决于相关因素间的趋同度 ;任何翻译都应以目的语接受者的认知假设为导向 ,明确清晰地传达原文作者的意图     

系统不确定性、趋同与优化——论非系统中的管理科学问题

该文借助"人-车模型"和"企业信息化模型"来建立趋同与优化模型,以此分析异质趋同和非系统优化问题.作者认为,同属性事物内部或之间存在趋同,不同属性事物之间也存在趋同.针对不同属性事物之间的异质趋同和非系统优化的研究,可以为人们分析普遍存在的趋同和优化现象提供一个新的透视角度.     

On von Mises type conditions for p-max stable laws, rates of convergence and generalized log Pareto distributions

In this article we obtain an alternative formulation of the von Mises type conditions for p-max stable laws in terms of generalized log Pareto distributions (glogPds). Relationship between the rate of convergence of extremes and the remainder terms in the von Mises type conditions is investigated. It is shown that the rate of convergence in the von Mises type conditions for p-max stable laws determines the distance of the underlying distribution function from a glogPd.     

Complete convergence for weighted sums of mixingale sequences and statistical applications

In this paper, the complete convergence of weighted sums of L^r-mixingale is established, from which the complete convergence of martingale differences is also derived. As statistical applications, non parametric regression model and simpler linear errors-in-variables model with mixingale errors are discussed.     

Complete consistency for the estimator of nonparametric regression model based on martingale difference errors

Abstract

In this paper, we study the complete consistency for the estimator of nonparametric regression model based on martingale difference errors, and obtain the convergence rates of the complete consistency by using the inequalities for martingale difference sequence. Finally, some simulations are illustrated.     

On convergence rate in the SLLN for maximums of moving-average sums of ALNQD random fields

In this article, we define a notion of asymptotically linear negatively quadrant dependence and establish the rate of complete convergence for maximums of moving-average sums of asymptotically linear negatively quadrant dependent random fields.     

区域全要素能源效率测算及其收敛分析——基于中国省级面板数据的实证研究

利用Malmquist指数方法,测量2000—2009年间中国全要素能源效率、技术进步及技术效率,检验区域能源效率的收敛性,结果表明,中国全要素能源效率总体呈上升趋势,且动力主要来源于技术进步;东、中、西部全要素能源效率变动存在差异,变化原因也各不相同;全国范围内全要素能源效率存在收敛趋势,后进区域的追赶效应明显。