Inequality for equireplicated n-ary block designs with unequal block sizes

It is shown that certain inequalities known for binary, equireplicated, equiblock-sized block designs remain valid for equireplicated n-ary block designs with unequal block sizes. The approach used here is based on the spectral expansion of the C-matrix of the block design. The main theorems include some useful and combinatorially interesting results.     

（λ,μ）-模糊子半环与（λ,μ）-模糊理想

引入了（λ,μ）-模糊子半环及半环的（λ,μ）-模糊左理想、（λ,μ）-模糊右理想、（λ,μ）-模糊双边理想、（λ,μ）模糊双理想的概念，讨论了它们的一些较好的性质，并给出各种（λ,μ）-模糊理想的等价刻划．     

双主体零和博弈逻辑形式系统建构及模型检测研究

博弈逻辑是博弈论和逻辑学相交叉的一个崭新研究领域,属应用逻辑范畴。双主体零和博弈逻辑是目前国际上博弈逻辑研究的重心。在命题动态逻辑原有程序算子(;∪*)的基础上增加对偶(dual)算子d建构双主体零和博弈逻辑的形式系统;把双主体零和博弈逻辑嵌入μ-演算中,分析双主体零和博弈逻辑的语言表达力;并在对双主体零和博弈逻辑形式系统建构的基础上,研究其模型检测的复杂性,可以为双主体非零和博弈逻辑及多主体博弈逻辑的研究奠定基础。双主体零和博弈逻辑已成为拓展博弈逻辑研究的一个重要方向。     

Characterization of certain incomplete block designs

It is shown that certain inequalities known for partially balanced incomplete block (PBIB) designs remain valid for general incomplete block designs. Some conditions for attaining their bounds are also given. Furthermore, the various types of PBIB designs are characterized by relating blocks of designs with association schemes. The approach here is based on the spectral expansion of NN' for the incidence matrix N of an incomplete block design.     

Use of Dummy Variables in Testing for Equality between Sets of Coefficients in Two Linear Regressions: A Note

Elementary inductive proofs are presented for the binomial approximation to the hypergeometric distribution, the density of an order statistic, and the distribution of when X ₁, ···, X _n are a sample from N (μ, 1).     

Constructions of partially efficiency-balanced designs and their analysis

Partially Efficiency-Balanced (PEB) designs were introduced by Puri and Nigam $year:1977. These designs may be particularly useful for bio-assays and factorial experiments and have a very simple analysis. In the present paper, we give several new systematic procedures of constructing PEB designs with varying replications. A number of practical series of PEB designs are presented. We shall also pre- sent the methods of analysing these designs produced here.     

基于差异系数σ/μ的最优投资组合方法

本文以Markowitz均值-方差模型为基础,提出了差异系数σ/μ极小化以及在此条件下的组合收益率极大化的均衡理论,利用Lagrange参数法,得到了一种使单位收益风险最小的投资组合决策方法,并给出了实例分析。