On the Distance Between Cumulative Sum Diagram and Its Greatest Convex Minorant for Unequally Spaced Design Points

Abstract.  The supremum difference between the cumulative sum diagram, and its greatest convex minorant (GCM), in case of non-parametric isotonic regression is considered. When the regression function is strictly increasing, and the design points are unequally spaced, but approximate a positive density in even a slow rate ( n ^−1/3), then the difference is shown to shrink in a very rapid (close to n ^−2/3) rate. The result is analogous to the corresponding result in case of a monotone density estimation established by Kiefer and Wolfowitz, but uses entirely different representation. The limit distribution of the GCM as a process on the unit interval is obtained when the design variables are i.i.d. with a positive density. Finally, a pointwise asymptotic normality result is proved for the smooth monotone estimator, obtained by the convolution of a kernel with the classical monotone estimator.     

论校园导向标识的人性化设计

校园导向标识系统中引入人性化设计理念,体现了"为人而设计"的本质,具有文化性、关怀性、形象性、连续性和统一性等五个特征,校园导向标识人性化设计的表现方法可从地图标识、指示标识、名称标识和安全规范标识四方面尝试。     

Rate of strong uniform convergence of k-NN density estimates

Let f_n(x) be the univariate k-nearest neighbor (k-NN) density estimate proposed by Loftsgaarden and Quesenberry (1965). By using similar techniques as in Bahadur's representation of sample quantiles (1966), and by the recent results on the oscillation of empirical processes by Stute (1982), we derive the rate of strong uniform convergence of f_n(x) on some suitably chosen interval J_δ. Some comparison with the kernel estimates is given, as well as the choice of the bandwidth sequence relative to the sample size.     

Copules archimédiennes et families de lois bidimensionnelles dont les marges sont données

Every bivariate distribution function with continuous marginals can be represented in terms of a unique copula, that is, in terms of a distribution function on the unit square with uniform marginals. This paper is concerned with a special class of copulas called Archimedean, which includes the uniform representation of many standard bivariate distributions. Conditions are given under which these copulas are stochastically ordered and pointwise limits of sequences of Archimedean copulas are examined. We also provide two new one-parameter families of bivariate distributions which include as limiting cases the Frechet bounds and the independence distribution.     

单李代数不可约表示的标记

对于n秩单李代数g,当采用Dynkin关于素根的分类时,其不可约表示可以用n个非负整数Λ_(αi)标记,也可通过初等表示的权用数组li来标记。利用Cartan逆矩阵,我们给出了计算Λ_(α_i)与li之间关系的方法。对于B_n、C_n、D_n和F_4,利用Cartan逆矩阵证明了这些li是与采用Cartan关于素根的分类时的Λi是一致的。     

Changes in the Political Iconography of East Central European Capitals after 1989 (Berlin,Warsaw, Prague,Bratislava)

The fall of communism in 1989/1990 has led not only to the establishment of new political systems and ideologies, but also to significant modifications in the visual self-representation of the respective states in Eastern and East Central Europe. Statues of communist heroes were abolished and replaced by monuments and memorials reflecting the new political situation. New state buildings were erected, and the old ones remodelled and adapted to the representational needs of the new authorities. In some cases, the political changes even have had a strong impact on principles of city planning, effecting urban structures of symbolic value.

The focal points of these developments are the capital cities, being principal places of the execution of state power as well as of its self-representation. However, the conditions for the staging of the state in the capital are in each case different. They depend on one hand on the architectural shape and historic role of the city, and on the political situation and self-image of the state on the other.

The article provides a comparative analysis of the changes in the political iconography of four East Central European capitals—Berlin, Warsaw, Prague and Bratislava—since 1989, focusing on selected monuments, architectural projects for state institutions and concepts of town planning.     

“说”出集体性——口述性（orality）与20世纪40年代的解放区小说

20世纪40年代解放区小说中,经常出现一种作为情节生产者的"非角色化"叙述者,和作为假想主体的"情境外"叙述接受者,二者之间的遥相呼应完成了叙事传达和接受的想象交流。这种叙述者和叙述接受者之间口述性的共时交流成功地使这类作品易于为农村普通读者接受。口述性的仪式化结构更为解放区作家虚拟了一种"集体性"景象,并为他们提供了使之合法化的叙述工具。     

A Dill Pickle的叙述声音、距离及判断

新西兰籍女作家凯瑟琳·曼斯菲尔德在其短篇小说"A Dill Pickle"中,采用作者型的叙述声音,通过人物内视点,利用表述行为、对信息量的控制等含蓄型叙述,以及大量运用人物的直接话语,牢牢控制作者、人物及读者之间的距离,树立了作者的权威性,从而控制了读者的价值判断.同时,作者在读者与女主人公之间成功建立起同情的纽带,使读者认可女主人公的价值判断,从而从侧面加强了作者型叙述声音的权威,使读者认可作者的价值判断,并与其达成共识.     

Invariance Theorems for Fisher Information

In multivariate and multi-parameter contexts, new expressions for Fisher Information are derived using the copula representation of the joint distribution of random variables. Invariance of Fisher Information to margins of the joint distribution is then demonstrated.     

Presmoothed Estimation with Left-Truncated and Right-Censored Data

We propose a new method to estimate the cumulative hazard function and the corresponding distribution function of survival times under randomly left-truncated and right-censored observations (LTRC). The new estimators are based on presmoothing ideas, the estimation of the conditional expectation m of the censoring indicator. An almost sure representation for both estimators is established, from which a strong consistency rate and asymptotic normality are derived. It is shown that the presmoothed modification leads to a gain in terms of asymptotic mean squared error. This efficiency with respect to the classical estimators is also shown in a simulation study. Finally, an application to a real data set is provided.