Sensitivity estimation for Gaussian systems

In this paper we address the construction of efficient algorithms for the estimation of gradients of general performance measures of Gaussian systems. Exploiting a clever coupling between the normal and the Maxwell distribution, we present a new gradient estimator, and we show that it outperforms both the single-run based infinitesimal perturbation analysis (IPA) estimator and the score function (SF) estimator, in the one-dimensional case, for a dense class of test functions. Next, we present an example of the multi-dimensional case with a system from the area of stochastic activity networks. Our numerical experiments show that this new estimator also has significantly smaller sample variance than IPA and SF. To increase efficiency, in addition to variance reduction, we present an optimized method for generating the Maxwell distribution, which minimizes the CPU time.     

Multi-criteria decision-making methods based on intuitionistic fuzzy sets

In this paper we present new methods for solving multi-criteria decision-making problem in an intuitionistic fuzzy environment. First, we define an evaluation function for the decision-making problem to measure the degrees to which alternatives satisfy and do not satisfy the decision-maker’s requirement. Then, we introduce and discuss the concept of intuitionistic fuzzy point operators. By using the intuitionistic fuzzy point operators, we can reduce the degree of uncertainty of the elements in a universe corresponding to an intuitionistic fuzzy set. Furthermore, a series of new score functions are defined for multi-criteria decision-making problem based on the intuitionistic fuzzy point operators and the evaluation function and their effectiveness and advantage are illustrated by examples.     

数学学习态度、学习策略与数学学业成绩关系的研究

该研究是以问卷调查所得的数据为基础，运用教育统计方法分析和探讨数学学习态度、数学学习策略与数学学业成绩的关系。研究结果表明：数学学习态度与数学学习策略存在密切的关系;;数学学习态度和数学学习策略对数学学业成绩有显著的影响，而且两者的影响程度基本上相同。     

具有双线性BL(1,1,1,1)误差的非线性回归模型相关性和方差齐性的检验

在时间序列回归模型分析中,相关性和方差齐性的检验是一个很基本的问题.本文讨论了具有双线性BL(1,1,1,1)误差的非线性回归模型的相关性和方差齐性的检验问题, 用Score检验方法给出了双线性项检验、相关性检验、方差齐性检验、以及相关性和方差齐性同时检验的检验统计量.推广和发展了具有线性序列误差项回归模型的结果.本文还用数值实例说明了检验方法的实用价值.     

中国农村居民收入来源的因子分析

首先利用因子分析对我国31个省市自治区分别按照收入来源进行分类,客观、合理地分析了我国农民收入来源的现状,并分析了造成这些差距的原因,最后为提高落后地区的居民收入水平提出了建议.     

Beta回归模型的影响诊断

应用曲率方法研究了Beta回归模型的局部影响分析问题,分别在加权扰动、响应变量扰动和自变量扰动模式下得到了相应的影响诊断统计量.同时还讨论了模型中散度参数的齐性检验问题,得到了Score检验统计量.最后通过具体的数值实例说明了所得统计量的有效性.     

带有ARIMA(0,1,0)误差的非线性模型影响诊断

在带有ARIMA（0，1，0）误差的非线性回归模型中，利用梯度方向研究了观测数据对于其异方差检验的Score统计量的局部影响，分别得到了因变量及自变量的微小扰动情况下度量最大局部影响的诊断统计量．最后，给出了具体的数值实例，说明了本文结论的有效性．     

Score Lists in Tripartite Hypertournaments

Given non-negative integers l, m, n, α, β and γ with l ≥ α ≥ 1, m ≥ β ≥ 1 and n ≥ γ ≥ 1, an [α,β,γ]-tripartite hypertournament on l + m + n vertices is a four tuple (U, V, W, E), where U, V and W are three sets of vertices with |U| = l , |V| = m and |W| = n, and E is a set of (α + β + γ)-tuples of vertices, called arcs, with exactly α vertices from U, exactly β vertices from V,and exactly γ vertices from W, such that any subset U₁∪ V₁∪ W₁ of U∪ V∪ W, E contains exactly one of the (α + β + γ)! (α + β + γ) − tuples whose entries belong to U₁∪ V₁∪ W₁. We obtain necessary and sufficient conditions for three lists of non-negative integers in non-decreasing order to be the losing score lists or score lists of some [α, β, γ]-tripartite hypertournament. Supported by National Science Foundation of China (No.10501021).     

基于平衡记分卡的旅游企业道德研究

由于行业特性和道德本身的难以衡量性,评价旅游企业道德成为业界与学界的难题。笔者利用平衡记分卡思想,拓展了旅游企业道德评价指标体系的设计思路,通过与具体指标相对应,提出了提升旅游企业道德的具体举措,为旅游企业规范道德行为、建立具有实践操作性的道德系统提供指导和借鉴。