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.     

LENGTH-BIASING, CHARACTERIZATIONS OF LAWS AND THE MOMENT PROBLEM

A positive random variable X with a finite mean has an induced length-biased law represented by Y, and Y is stochastically larger than X. An independent uniform random contraction of Y, UY, has the same law as X if and only if the latter is exponential. This property is extended to non-uniform contractions and a more general notion of length-biasing. The distributional equality of X and W leads to a functional equation for the moment function of X, which has either Infinitely many solutions or none. When U is constant, X can have a log-normal law, but it can also have laws with the same moment sequence as this log-nod law. The case where U has a certain beta, or generalized beta, law give t3 characterizations of generalized gamma laws, or to products of independent copies of them. This occurs even when these laws are not determined by their moment sequences.     

局部Haar条件下的变形非线性L逼近

本文讨论了局部Ｈａａｒ条件下变形的非线性Ｌ逼近，得到了包括交错定理在内的特征定理、唯一性和强唯一性定理。     

关于学报发展中几个问题的思考

在互联网日益普及的情况下，高校学报不应等待观望，而应尽快转变认识，充分利用网络资源进行新的尝试，为自身的发展服务。高校学报要走的个性化特色化之路，通过对可资形成特色的各种条件进行创造性整合，形成刊物的个性与特色。注重提高刊物的学术影响力，提高所刊论文的引用率与引文率，在增强社会效益上做文章。同时，也要重视编排的标准化、规范化等工作，以期使学报的生存与发展进入良性循环。     

一类混合指数型算子的一致逼近

主要讨论了一类混合指数型算子的一致逼近问题，并给出了逼近阶的估计和特征刻划。     

一类多元Gauss-Weierstrass算子线性组合的加权逼近

该文给出了一类多元Gauss-Weierstrass算子线性组合加Jacobi权在一致逼近下的正、逆定理和逼近阶的特征刻划     

Zr(SO4)2/TiO2固体超强酸的结构表征

采用一步法制得Zr(SO4)2/TiO2型固体超强酸,用FT-IR,XRD及TG/DTA等技术对其结构进行了表征,并且通过乙酸丁酯酯化反应考察了其催化性能.结果显示:添加TiO2后,催化剂表面氧化物的晶型结构主要是锐钛矿型的TiO2,没有观察到Zr(SO4)2的晶型衍射峰,Zr(SO4)2以无定型形式存在.酯化结果得出:当Zr(SO4)2的质量分数为60%,焙烧温度为400℃时,该超强酸对乙酸丁酯的催化活性最高.     

In Memoriam: Emeritus Professor Henry Oliver Lancaster, AO FAA 1 February 1913 – 2 December 2001

The death, in Sydney, of Oliver Lancaster marks the end of an era in the histories of the Statistical Society of Australia, which (in its previous existence as the Statistical Society of New South Wales) he helped found in 1947, and of the Australian Journal of Statistics of which he was founding editor (1959–1971). Oliver Lancaster was Foundation Professor of Mathematical Statistics at the University of Sydney (1959–1978), where he spent his life as student and academic. During his academic career, he achieved scholarly distinction in at least four fields: mathematical statistics, medical and public health statistics, the history of medicine and of statistics, and statistical bibliography. With E.J.G. Pitman (1897–1993), M.H. Belz (1897–1975), E.A. Cornish (1909–1973) and P.A.P. Moran (1917–1988) he was part of a cohort of renowned Australian mathematical statisticians who laid the foundation of the glory days of Australian mathematical statistics. This obituary and tribute focuses on some of these aspects, within a broader historical picture.     

《一块牛排》的人物刻画张力

文章着重分析了《一块牛排》在四个层次上展现出来的文本张力 :白描和阐述之间的静态描写、对话和行动之间的动态描写、情节冲突的张力和象征等。张力性的人物塑造体现出了主人公广阔的精神宽度和丰富的精神内涵 ,颂扬了失意英雄汤姆·金在绝境中的求生意志和生命的弹性。     

双核铜(Ⅱ)与N,N,N′,N′-四〔2-(2-吡啶基)乙基〕(o,m,p)苯二甲酰胺配合物的合成与表征

通过酰氯与胺的作用合成了配体Ｎ,Ｎ,Ｎ′,Ｎ′－四〔２－（２－吡啶基）乙基〕（ｏ,ｍ,ｐ）苯二甲酰胺．该配体和铜（Ⅱ）配合,合成了三种新配合物,并以红外光谱、电子光谱、摩尔电导率、元素分析及核磁共振谱进行了表征．