Rényi entropy of m-generalized order statistics

Abstract

Characterizing relations via Rényi entropy of m-generalized order statistics are considered along with examples and related stochastic orderings. Previous results for common order statistics are included.     

Hill estimator of projections of functional data on principal components

Functional principal component scores are commonly used to reduce mathematically infinitely dimensional functional data to finite dimensional vectors. In certain applications, most notably in finance, these scores exhibit tail behaviour consistent with the assumption of regular variation. Knowledge of the index of the regular variation, α, is needed to apply methods of extreme value theory. The most commonly used method of the estimation of α is the Hill estimator. We derive conditions under which the Hill estimator computed from the sample scores is consistent for the tail index of the unobservable population scores.     

论中心信息等值原则在英汉习语互译中的应用

如何在英汉习语的互译中做到从形式到内容、从达意到传情、从语言到文化的成功转换是个难题。文章根据中心信息等值的原则 ,介绍了几种技巧 ,以寻求的语与源语之间表达效果的相同或相近     

Examples of the use of an equivalence theorem in constructing optimum experimental designs for random-effects nonlinear regression models

The problem considered is that of finding an optimum measurement schedule to estimate population parameters in a nonlinear model when the patient effects are random. The paper presents examples of the use of sensitivity functions, derived from the General Equivalence Theorem for D-optimality, in the construction of optimum population designs for such schedules. With independent observations, the theorem applies to the potential inclusion of a single observation. However, in population designs the observations are correlated and the theorem applies to the inclusion of an additional measurement schedule. In one example, three groups of patients of differing size are subject to distinct schedules. Numerical, as opposed to analytical, calculation of the sensitivity function is advocated. The required covariances of the observations are found by simulation.     

Modeling cooperation among self-interested agents: a critique

This paper reviews recent attempts to model cooperation in groups of self-interested unrelated individuals. It concludes that no empirically plausible model has been developed, and the economist's quest for an explanation of human prosociality in terms of self-interested agents has not been successful. We show that the equilibrium criteria employed in standard game-theoretic models have no attractive dynamic properties, and the mechanisms deployed in these models are not generally seen in empirical examples of cooperative groups. We also show that these models are not robust to plausible rates of signaling error and mutation. We present an alternative, involving strongly reciprocal agents, that satisfies all the requirements for a dynamically stable model of cooperation.     

二元方程式F(x,y)=0确定的函数曲线渐近线的探讨

给出二元方程式F(x,y)=0确定的函数曲线渐近线的几个结果。     

数学分析中基本概念的教学

通过导数、数列极限、函数的连续性和函数项级数不一致收敛等概念的教学 ,阐明了数学分析中基本概念教学的重要性     

单元弹性下蛛网理论模型的建立与证明

通过对微观经济学蛛网理论的供求动态分析 ,建立了其单元弹性下的模型 ,并给出了严格的证明 ,从而为蛛网理论经济分析提供了理论基础     

“倾斜”“反哺”“预警”——解决中部地区“三农”问题的对策

面对我国板块构造式区域经济发展格局中"中部塌陷"的现实,作为我国粮食主产区的中部地区应采取"倾斜""反哺""预警"三大对策来解决"三农"问题.倾斜对策是针对农村发展的,主要措施是权力向县级组织倾斜,资源向县城及农产品加工园区倾斜,政策向农村基础设施建设和农业产业化发展倾斜;反哺是针对农业发展的,措施是沿海工业发达地区反哺中部粮食主产区;预警是保护农民利益的,措施是实施农民利益预警调控.     

加快经济发展 促进苏中崛起

加快苏中发展 ,对于提升苏中经济实力 ,促进全省初步实现现代化 ,意义十分重大。苏中经济发展速度虽一度减缓 ,但仍具有一定的优势。针对苏中自身发展动力不足的现状 ,必须“以外促内 ,以内引外” ,大力引进外资、台资、民资和智力 ,主动接受上海、苏南的辐射和转移 ,同时进行存量结构调整 ,提升整体水平 ,实现跨越式发展。