Kernel adjusted nonparametric regression

In this paper we propose and study a new kernel regression estimator in which the kernel is taken from a properly adapted location-scale family of the design distribution. We show that, while the original smoothing may be performed with sub-optimal bandwidths, adaptation of proper scale parameters yields overall optimal estimators. Unlike traditional smoothing methodology, our approach does not aim at estimating pivotal higher order derivatives.     

On the correct regression function (in L2) and its applications when the dimension of the covariate vector is random

We derive the optimal regression function (i.e., the best approximation in the L₂ sense) when the vector of covariates has a random dimension. Furthermore, we consider applications of these results to problems in statistical regression and classification with missing covariates. It will be seen, perhaps surprisingly, that the correct regression function for the case with missing covariates can sometimes perform better than the usual regression function corresponding to the case with no missing covariates. This is because even if some of the covariates are missing, an indicator random variable δ$\delta$, which is always observable, and is equal to 1 if there are no missing values (and 0 otherwise), may have far more information and predictive power about the response variable Y than the missing covariates do. We also propose kernel-based procedures for estimating the correct regression function nonparametrically. As an alternative estimation procedure, we also consider the least-squares method.     

Marginal methods for clustered longitudinal binary data with incomplete covariates

Many analyses for incomplete longitudinal data are directed to examining the impact of covariates on the marginal mean responses. We consider the setting in which longitudinal responses are collected from individuals nested within clusters. We discuss methods for assessing covariate effects on the mean and association parameters when covariates are incompletely observed. Weighted first and second order estimating equations are constructed to obtain consistent estimates of mean and association parameters when covariates are missing at random. Empirical studies demonstrate that estimators from the proposed method have negligible finite sample biases in moderate samples. An application to the National Alzheimer's Coordinating Center (NACC) Uniform Data Set (UDS) demonstrates the utility of the proposed method.     

Partitioning large signed two-mode networks: Problems and prospects

While a substantial amount of attention within social network analysis (SNA) has been given to the study of one-mode networks, there is an increasing consideration of two-mode networks. Recent research on signed networks resulted in the relaxed structural balance (RSB) approach and its subsequent extension to signed two-mode networks involving social actors and social objects. We extend this approach to large signed two-mode networks, and address the methodological issues that arise. We develop tools to partition these types of networks and compare them with other approaches using a recently collected dataset of United Nations General Assembly roll call votes. Although our primary purpose is methodological, we take the first step towards bridging Heider's structural balance theory with recent theorizing in international relations on soft balancing of power processes.     

试论刘沧的咏史怀古诗

刘沧是晚唐时期一位很有特色的诗人,也是一位被遗忘的诗人。他的诗歌以七律为主,尤其是咏史怀古诗达到了很高的程度。刘沧的咏史怀古之作,牢笼朝代的沧桑之变与人事衰落,以历史反映现实,映衬现实。给人以深刻的理性启示和认识,讽刺和告诫当朝统治者从中吸取教训。并且形成了自己独特的艺术风格,为晚唐的咏史怀古诗增添了别样韵味。     

在传统与后现代语境中发展中国化的马克思主义美学——评刘纲纪美学思想及石长平《实践本体论美学思想研究》

石长平的《实践本体论美学思想研究》是关于刘纲纪美学思想研究的最新成果。它不仅揭示了刘纲纪美学思想发展的必然趋势是超越认识论美学而走向实践本体论美学．而且表明了这种发展趋势的前提条件是批判继承中国传统美学的非认识论倾向以及“后现代实践转向”的思想成果。刘纲纪的美学研究路径对于发展中国化马克思主义美学有着重要的现实启示意义。     

刘宗周的“慎独”思想及其在道德修养上的重要意义

"慎独"是儒家思想的一个重要范畴。刘宗周认为,慎独是成圣成贤的一个重要途径,是对人的品德最重要的考验。慎独要发扬人的道德主体性,通过知过、记过、讼过和改过,逐步提高自己的道德修养。刘宗周的慎独思想对今天人们进行道德修养、提高道德品质仍然有重要的意义。     

泪水凝成的刘备形象

《三国演义》以泪水作为真情的外化和仁德的标志,构成了刘备形象的鲜明特征。他用真情感召天下英雄,用仁德赢得百姓拥戴,虽然他的帝业被泪水浸洗得失去了辉煌,但他却因此而被定格为道德完人。     

《文心雕龙》创作论三题

刘勰结合列于《文心雕龙》总论的《辨骚》篇及其有关篇章,以屈原《离骚》等楚辞为典范,提出了文学创作中"执正驭奇"的"奇正"美学观,"酌奇而不失其正,玩华而不坠其实"的内容与形式的统一观,以及"取熔经意,自铸伟辞"的继承与创新的结合观,确立了文学创作的基本原则,具有重大理论价值与方法论意义。     

An evaluation of the performance of kernel estimators for graduating mortality data

In the graduation of the age-specific mortality pattern, recent emphasis has been placed on the use of kernel regression estimators. Three such estimators are the Nadaraya-Watson, Gasser-Muller and kernel weighted local linear estimators. This paper discusses the theoretical background of each estimator and evaluates their accuracy in graduating age-specific mortality using data for France, Japan and Sweden. For comparison, we also fit the Heligman-Pollard model and its nine-parameter variant by Kostaki. The Gasser-Muller estimator is found to be superior to the two other kernel estimators in that it is both more stable and not influenced by boundary effects. Furthermore, compared with the two parametrric models, the Gasser-Muller estimator provides a more satisfactory graduation, especially at older adult ages, in terms both of smoothness and of fidelity between the observed and graduated rates.