紧致连通李群的极大环面子群

极大环面子群在李群结构及其表示理论中都是十分重要的。每个连通紧李群具有极大环面子群,任二极大环面子群彼此共轭,且连通紧李群中每个元素共轭于极大环面的一个元素。用对称空间的有关知识给出了极大子环群定理的详细证明。     

Density estimation in the uniform deconvolution model

We consider the problem of estimating a probability density function based on data that are corrupted by noise from a uniform distribution. The (nonparametric) maximum likelihood estimator for the corresponding distribution function is well defined. For the density function this is not the case. We study two nonparametric estimators for this density. The first is a type of kernel density estimate based on the empirical distribution function of the observable data. The second is a kernel density estimate based on the MLE of the distribution function of the unobservable (uncorrupted) data.     

格莱明银行模式:基于关联博弈的分析

从关联博弈角度对格莱明银行模式进行了分析,认为格莱明银行小组贷款模式实现了贷款博弈与社会资本博弈的紧密结合,正是这种紧密关联博弈克服了成员贷款中的 "搭便车"行为.由于重复博弈的存在,社会资本成为一种可置信的威胁,保证了贷款协议的执行,成功克服了合约中产生的代理问题.格莱明银行模式对我国小额信贷激励机制的建立具有重要的参考价值.     

国际投资税收政策对跨国企业集团投资战略的影响

由于各国经济发展水平、经济资源优势和经济国际化程度不同,各国都制定符合各自经济政策目标的国际投资税收政策,采取的税收优惠政策的侧重点也各不相同。跨国企业集团在制定投资战略时应注重分析各国引导投资的侧重点并充分加以利用,在投资战略选择中,必须慎重确定投资所在国的重点优惠项目或重点优惠地区,全面考虑投资国和投资所在国之间的国际税收协调性,正确认识资本投入量同税收负担与其他投资环境要素之间的关系。应以全球的观点进行国际化投资战略规划,以谋求集团整体税收负担的最小化和整体投资收益的最大化     

On Testing for the Nullity of Some Skewness Coefficients

Three tests for the skewness of an unknown distribution are derived for iid data. They are based on suitable normalization of estimators of some usual skewness coefficients. Their asymptotic null distributions are derived. The tests are next shown to be consistent and their power under some sequences of local alternatives is investigated. Their finite sample properties are also studied through a simulation experiment, and compared to those of the √ b ₂-test.     

Stability and Segregation in Group Formation

This paper presents a model of group formation based on the assumption that individuals prefer to associate with people similar to them. It is shown that, in general, if the number of groups that can be formed is bounded, then a stable partition of the society into groups may not exist. (A partition is defined as stable if none of the individuals would prefer be in a different group than the one he is in.) However, if individuals' characteristics are one-dimensional, then a stable partition always exists. We give sufficient conditions for stable partitions to be segregating (in the sense that, for example, low-characteristic individuals are in one group and high-characteristic ones are in another) and Pareto efficient. In addition, we propose a dynamic model of individual myopic behavior describing the evolution of group formation to an eventual stable, segregating, and Pareto efficient partition. Journal of Economic Literature Classification Numbers: C72, H41.     

Cultural industry development and multiple group participation in Taiwan

Based on the unique historical site culture assets, series of culture activities and constructions are held by Taiwan municipal government positively in recent years to raise local strength. Though the city landscape of Taiwan is far away from the traditional one, the comparison and analysis of foundation of cultural industry and the situation of cultural participation should be carried on to find out the real issues in Taiwan＇s cultural industry and cultural marketing so as to strengthen the ability of local development. This study finds out the resources of culture administration and the social participation in hope for clearing up the matters of Taiwan＇s cultural industry development, avoiding type Ⅲ errors, and giving suggestions.     

“棘轮式”代理问题与子公司经理人激励:家族集团治理

家族集团中,在企业家通过本期产出水平来确定子公司经理人所应上缴的产出分配收益的情况下,经理人会通过调整自己的努力水平,间接控制自己在下期的上缴额度,从而导致激励效率损失.但是,如果企业家能收取固定的产出分配收益,并确定高额违约金,就能够有效地规避子公司经理人代理问题.     

Generalized piecewise linear histograms

We extend the concept of piecewise linear histogram introduced recently by Beirlant, Berlinet and Györfi. The disadvantage of that histogram is that in many models it takes on negative values with probability close to 1. We show that for a wide set of models, the extended class of estimates contains a bona fide density with probability tending to 1 as the sample size n increases to infinity. The mean integrated absolute error in the extended class of estimators decreases with the same rate n^–2/5 as in the original narrower class.