Note on reduction of dimensionality for second-order response surface design model

To reduce the dimensionality of the second-order response surface design model, variance component indices under imposing and non imposing restrictions on the moment matrix toward the orthogonality are derived and presented and the same is illustrated with suitable examples in this article.     

The probability density function of process capability index Cpmk

We derive an explicit and computationally convenient form for the probability density function of the estimator of the process capability index C_pmk ( Pearn, Kotz and Johnson ), when sampling from a normal distribution.     

Keeping things simple: why the Human Development Index should not diverge from its equal weights assumption

Using a range of statistical criteria rooted in Information Theory we show that there is little justification for relaxing the equal weights assumption underlying the United Nation’s Human Development Index (HDI) even if the true HDI diverges significantly from this assumption. Put differently, the additional model complexity that unequal weights add to the HDI more than counteracts the improvement in goodness-of-fit. This suggests that, in some cases, there may be limited validity in increasing the complexity of a range of other composite sustainability indices.     

Some suggestions concerning an axiom system for statistical price and quantity indices

Starting from the axiom system for price indices given by Eichhorn, this paper intends t o suggest some new axioms. They seem useful from a theoretical of practical point of view. The reversal tests, introduced by Fisher i n 1922, are investigated systematically. This procedure leads to new reversal properties and to a group theoretical representation of these properties.     

Calendar of events

Increased demands on more efficient information handling can be met with cheap computers and electronic communication. However, information structure and information coding is often relatively underdeveloped, particularly for more complex projects. The proposed system for structuring and coding, with main codes consistently connected to three concepts, activities, resources and components, can give the logic flexibility and power which is needed for a more efficient information handling in 'learning' organizations, striving at reduced lead limes, more efficient experience feedback, decentralization and competence development.     

状态维修系统的故障检测诊断策略

系统有2种工作状态（正常状态、异常状态）和一种故障状态。当系统开始正常状态后，每隔一段随机时间对它检测诊断一次，直到系统故障或检测诊断出系统处于异常状态为止，诊断结果可能有误。在系统的寿命为连续型随机变量，检测间隔时间服从指数分布等假设下，利用概率分析和补充变量方法求出了系统的运行指标和稳态收益率的明显表达式。比较最优检测诊断策略下的稳态收益率和不检测诊断时的稳态收益率得到最优检测诊断策略的可行性判别准则。数值实例研究表明，研究结果可提高系统经济效益。     

广东省产业群发展的实证研究与政策建议

文章首先用集群指数模型对广东省39个行业近10年的集群状况进行了测度,其次在测度的基础上对39个行业分三类进行了现状和趋势的描述与分析,最后提出了广东要实施产业集聚的引进外资新战略;加强产学研结合,积极引进跨国公司的研究开发机构;培养和造就新的工业文化和精神等结论和建议。     

FFT快速整序算法的对比、改进及实现

提出了一种改进的用于基2的FFT整序算法。改进算法对逆序表的生成进行改进,同时给出另一种数据交换的方案。首先,将顺序号分成组号和组员两部分,采用两个数组存储各组号及组员的数,以(0,2,1,3)为初始逆序表,利用已知组员与组号对应的逆序号的大小关系,求出任意更高阶的逆序表。其次,在数据交换时,避免了常规整序中顺序号与逆序号的比较运算。在Windows操作系统下编制了相关算法的C++程序,比较了运行效率,实验表明,改进算法效率最高。     

On The Meaning Of Owen–Banzhaf Coalitional Value In Voting Situations

In this paper we discuss the meaning of Owen's coalitional extension of the Banzhaf index in the context of voting situations. It is discussed the possibility of accommodating this index within the following model: in order to evaluate the likelihood of a voter to be crucial in making a decision by means of a voting rule a second input (apart from the rule itself) is necessary: an estimate of the probability of different vote configurations. It is shown how Owen's coalitional extension can be seen as three different normative variations of this model.     

Achievable Hierarchies In Voting Games

Previous work by Diffo Lambo and Moulen [Theory and Decision 53, 313–325 (2002)] and Felsenthal and Machover [The Measurement of Voting Power, Edward Elgar Publishing Limited (1998)], shows that all swap preserving measures of voting power are ordinally equivalent on any swap robust simple voting game. Swap preserving measures include the Banzhaf, the Shapley–Shubik and other commonly used measures of a priori voting power. In this paper, we completely characterize the achievable hierarchies for any such measure on a swap robust simple voting game. Each possible hierarchy can be induced by a weighted voting game and we provide a constructive proof of this result. In particular, the strict hierarchy is always achievable as long as there are at least five players.