关于Fuzzy度量空间的集值映射的公共不动点

本文绘出了Fuzzy度量空间的集值映射的几个新的公共不动点定理，它们是文[1]～[4]等最近的主要结果的改进、统一和发展．     

基于灰信息变元的泛函博弈模型研究

现实社会生活中存在局中人的博弈策略或收益值是变元（如时间、环境、空间、制度或相关其它变元）映射的一类博弈问题。本文从灰信息变元的角度给出了的泛函区间灰数的概念,设计了泛函区间灰数的表征形式,提供了泛函区间灰数之间的大小比较与运算法则。分析基于不确定信息的泛函博弈问题,并描述其形式与框架,可以展示不确定信息下博弈的特征、性质、战略表达形式。运用优化理论及其相关技术方法,设计基于不确定信息优化的求解算法,即通过研究和构造泛函博弈收益值的广义满秩扩充方阵求解最优博弈策略和博弈收益值问题,不仅为现实生活中的不确定信息问题提供新的解题思路,更为实际问题的解决提供新的方法参考。最后结合案例“盗版与打击盗版”问题通过计算机仿真对其博弈均衡结果进行详细的对比分析,说明了本文提出基于信息变元泛函博弈模型的科学性和计算结果的精确性。     

The generalizations of strong law of large numbers for asymptotic even–odd Markov chains indexed by a homogeneous tree

Yang et al. (Yang et al., J. Math. Anal. Appl., 410 (2014), 179–189.) have obtained the strong law of large numbers and asymptotic equipartition property for the asymptotic even–odd Markov chains indexed by a homogeneous tree. In this article, we are going to study the strong law of large numbers and the asymptotic equipartition property for a class of non homogeneous Markov chains indexed by a homogeneous tree which are the generalizations of above results. We also provide an example showing that our generalizations are not trivial.     

A Strong Law of Large Numbers for Strongly Mixing Processes

We prove a strong law of large numbers for a class of strongly mixing processes. Our result rests on recent advances in understanding of concentration of measure. It is simple to apply and gives finite-sample (as opposed to asymptotic) bounds, with readily computable rate constants. In particular, this makes it suitable for analysis of inhomogeneous Markov processes. We demonstrate how it can be applied to establish an almost-sure convergence result for a class of models that includes as a special case a class of adaptive Markov chain Monte Carlo algorithms.     

Statute Definitions of Elder Abuse

ABSTRACT

Older women victims of violence by a partner or family member are more often categorized as victims of elder abuse, not victims of family violence. Their needs are assessed, if at all, by social and health service agencies, often with little knowledge or understanding of domestic violence, while domestic violence policy initiatives, advocacy, and services focus on younger women and children. A survey of domestic violence services in British Columbia and the Yukon found that women over 60 years of age were a very small fraction, generally less than two percent, of women served, and those 50 to 59 years of age were also substantially under-represented. Only four percent of respondents had special services for older women. Comments from respondents confirm that abused older women face enormous difficulties in trying to establish a safe and secure future. It was also evident that better interaction is needed between those providing support and advocacy for abused women, and those who provide health and social services for older persons. A majority of the shelters provided community education to a wide range of agencies. Most have only partial accessibility to women with mobility handicaps.     

Zipf's law for randomly generated frequencies: explicit tests for the goodness-of-fit

The question, whether Zipf's law arises only in consequence of interactions in a complex system or if it is also valid for random structures, has been controversially discussed in the literature over several decades. We show by means of simulations that the frequency distributions of simple random sequences usually obey this regularity. For tens of thousands of cases the goodness-of-fit is explicitly demonstrated by estimating the parameter and calculating the corresponding chi-square value. From the study it becomes clear that some existing results in the literature should be revised, and some ideas concerning the explanation of Zipf's law are provided.     

Complete convergence for weighted sums of arrays of APND random variables

In this note, we introduce a new class of dependent random variables (henceforth rvs), together with some its basic properties. This class includes independent rvs and pairwise negatively dependent rvs. Some extensions of Ranjbar et al. (2008) are discussed. The complete convergence for the new class of rvs is also proved, and some results of Beak and Park (2010 Beak, J.-II., and S. T. Park. 2010. Convergence of weighted sums for arrays of negatively dependent random variables and its applications. J. Stat. Plann. Inference 140:2461–2469.[Crossref], [Web of Science ®] , [Google Scholar]) are extended to this class conveniently.     

论中国诗歌中的析数艺术

修辞学里设有"析字"一格,在诗歌里有一种与之相似的数字运用现象,本文姑且称之为"析数".枯燥的数字与诗人之情相碰撞,诗美学的瑶圃里又多了一颗璀璨的明珠.     

A law of large numbers for the scaled age distribution of linear birth-and-death processes

It is shown that certain measure-valued stochastic processes describing the age distribution of particles whose development is controlled by linear critical birth-and-death processes converge in distribution to a deterministic positive bounded measure.     

基于模糊层次分析法的军品供应商选择体系研究

针对我国的现实国情与军情,同时考虑到信息化战争后勤保障的发展趋向,建立了基于供应链的军品供应商选择指标体系,该体系可为当前的军事订货与采购制度改革提供一定的参考和依据;利用模糊层次分析法制订了军品供应商的选择方法,其中提出了一种新的三角模糊数排序的可能度指标,并将其与现有的可能度指标进行了比较;最后用计算实例对建立的选择方法进行了验证。