Empirical Bayes approach to multiparameter estimation: with special reference to multinomial distribution

Empirical Bayes approach to estimation of many parameters is considered. Special features of the techniques discussed are: (i) the handling of unequal sample sizes at various stages of an Empirical Bayes sampling scheme and (ii) a general iterative procedure for estimating the parameters of a parametric prior distribution based on the likelihood approach. Linear empirical Bayes estimation is also considered. Application of the general techniques is demonstrated with special reference to a multinomial data distribution.     

Testing for the maximum cell probabilities in multinomial distributions

This paper investigates one-sided hypotheses testing for p, the largest cell probability of multinomial distribution. A small sample test of Ethier (1982) is extended to the general cases. Based on an estimator of p, a kind of large sample tests is proposed. The asymptotic power of the above tests under local alternatives is derived. An example is presented at the end of this paper.     

Multiparameter estimation for some multivariate discrete distributions with possibly dependent components

Summary In multiparameter estimation for multivariate discrete distributions with infinite support, inadmissibility problems in situations where the multivariate probability distribution function isnot a product of the one-dimensional marginal probability distribution functions have previously been unexplored. This paper examines the inadmissibility problem in some of these situations. Special attention is given to estimating the mean of a negative multinomial distribution. In estimating the mean vector, certain Clevenson-Zidek type estimators are shown to be uniformly better than the usual estimator under a large class of generally scaled squared loss functions. Some of the results are generalized to other multivariate discrete distributions and to situations where several independent negative multinomial distributions are considered.     

A bayesian approach to nonparametric test problems

We propose an alternative approach to the classical nonparametric test problems, such as the goodness of fit test and the two-sample nonparametric test. In this approach, those problems are reviewed from the viewpoint of the estimation of the underlying population distributions and are formulated as the problem of model selection between Bayesian models which were recently proposed by the present authors. The model selection can be easily realized by choosing a model with the smallest ABIC, Akaike Bayesian information criterion. The approach provides the estimates of the density of the underlying population distribution(s) of any shape as well as the evaluation of the goodness of fit or the check of homogeneity of distributions. The practical utility of the present procedure is demonstrated by numerical examples. The difference in behavior between the present procedure and a density estimator GALTHY proposed by Akaike and Arahata is also briefly discussed.This paper was originally read at the Conference on Graphical Models to Analyze Structures (Organizer: N. Wermuth, Johannes Gutenberg University), June 30-July 2, 1986, Wiesbaden, West Germany.     

模具CAD系统中设计准则的程序化和公式化

模具的设计准则大多是以离散数据给出的，本文给出在模具ＣＡＤ系统中，使这些离散数据程序化和公式化的几种方法——用数组和数据文件处理法、函数插值法、最小二乘法的多项式拟合法和正交多项式拟合法，并给出了具体的实现过程。这些方法同样适用于其它ＣＡＤ系统     

关于多元Poisson变量的一个基本特征

本文目的是讨论多元独立的非负整值随机变量X_1,X_2,…,X_n的每一个服从Poisson分布的充分必要条件。     

斯蒂芬·克莱恩的人文主义思想及表现探析

对美国作家斯蒂芬·克莱恩的主要小说进行研究分析,梳理出其作品中不同类型的人文主义思想,并深入挖掘其多元人文主义思想的形成原因,以此反观世纪末西方社会动荡复杂的文化语境.     

严复的多元互补翻译标准观——与辜正坤翻译标准观之比较

严复的翻译标准观是一个多元互补系统,即:理想标准(写作)--正法翻译标准(信达雅)--非正法翻译标准(达旨).     

后女性主义文学批评及其启示

后女性主义文学批评有两个主要特点:一、弱化对男性中心主义的批判,强调妇女在既定性别秩序内的享受;二、在文学批评方面缺乏深刻而缜密的理论建树,但对某些偏激的女性主义批评有警示意义.在世界范围内,女性主义文学批评的声音仍此起彼伏,当代文学理论的多元化及包容性特征,应是其重要的理论资源;为开拓新的发展之路,应更重视兼收并蓄的"性别诗学"的建构.