用行等和矩阵构造2~n阶全对称雪花幻方

本文利用行等和矩阵的概念,构造2~n 阶全对称雪花幻方,然后给出此类全对称雪花幻方的三条性质。     

矩阵直接和的｛1,2｝-逆

本文给出了任意矩阵为｛1，2｝一道的结构，进而得到了矩阵直接和的｛1，2｝-逆的表示式．     

任意除环上的矩阵直接和的g-逆

本文给出了任者除环上矩阵直接和的定义，得到了矩阵直接和的g一逆的表达式．     

致使事件的语义认知过程及形式体现

传统的致使研究多受分解语义学的影响,单纯地分析动词的致使语义,后来的生成语义学说解释了致使结构的生成转化过程,但仍停留在句法层面的具体描述。文章从作用力图式理论的角度探讨主体如何感知客观世界中的致使现象并抽象出致使概念语义结构及最后体现为表层句法结构的认知过程,并从致使动词的语义角度分析了四种致使语义关系。研究发现致使概念语义结构由致使、动作和方位语义关系融合构成,并体现为固定的表层句法结构。     

基于Leslie矩阵模型的湖南省人口老龄化预测分析

基于相关统计数据,简要分析湖南省人口老龄化的现状,并根据2010年全国第六次人口普查数据,在传统的Leslie矩阵模型的基础上考虑受“二孩政策”影响下生育率水平的变化因素,对分组年龄人口进行预测,进而得到2020-2100年湖南省人口老龄化相关的指标预测值,预测发现其具有增长速度快、阶段性明显、高龄化现象严重等特征,因此政府迫切需要进行养老服务的转型升级,构建多元化、多层次的养老服务体系。     

On matrix variate skew-normal distributions

Two new families of matrix variate distributions are introduced. They are based on matrix normal distribution and yet can be used to model data involving skewness. The properties of the two families are investigated. Among others, the marginals, conditionals, stochastic representation, linear and quadratic forms are studied.     

考虑截面相关条件下的异质性面板数据协整回归模型的估计

 面板数据的非平稳分析是近年来迅速发展的方向,其中考虑截面相关情形下面板数据的协整分析的发展备受关注。Bai &; Kao（2006）得出了截面相关条件下面板协整估计的因子模型,但该模型只考虑了被解释变量截面相关情形,未考虑解释变量的截面相关,且假定各截面间长期协方差矩阵相同。本文在Bai（2006）考虑截面相关条件下面板数据协整回归模型估计的基础上将其结论推广至被解释变量和解释变量均截面相关及截面长期协方差矩阵不相同即异质性时的情形,并试图通过Monte Carlo 模拟讨论其小样本性质。并且由于截面间长期协方差矩阵异质性的存在,本文还针对两变量的协整系统提出了系数检验的组间均值t统计量。     

Response Time Distribution in a D-MAP/PH/1 Queue with General Customer Impatience

ABSTRACT

This paper presents two methods to calculate the response time distribution of impatient customers in a discrete-time queue with Markovian arrivals and phase-type services, in which the customers’ patience is generally distributed (i.e., the D-MAP/PH/1 queue). The first approach uses a GI/M/1 type Markov chain and may be regarded as a generalization of the procedure presented in Van Houdt ^[14] Van Houdt , B. ; Lenin , R. B. ; Blondia , C. Delay distribution of (im)patient customers in a discrete time D-MAP/PH/1 queue with age dependent service times Queueing Systems and Applications 2003 , 45 1 , 59 – 73 . [CROSSREF]  [Google Scholar] for the D-MAP/PH/1 queue, where every customer has the same amount of patience. The key construction in order to obtain the response time distribution is to set up a Markov chain based on the age of the customer being served, together with the state of the D-MAP process immediately after the arrival of this customer. As a by-product, we can also easily obtain the queue length distribution from the steady state of this Markov chain.

We consider three different situations: (i) customers leave the system due to impatience regardless of whether they are being served or not, possibly wasting some service capacity, (ii) a customer is only allowed to enter the server if he is able to complete his service before reaching his critical age and (iii) customers become patient as soon as they are allowed to enter the server. In the second part of the paper, we reduce the GI/M/1 type Markov chain to a Quasi-Birth-Death (QBD) process. As a result, the time needed, in general, to calculate the response time distribution is reduced significantly, while only a relatively small amount of additional memory is needed in comparison with the GI/M/1 approach. We also include some numerical examples in which we apply the procedures being discussed.     

Shift Techniques and Canonical Factorizations in the Solution of M/G/1-Type Markov Chains

ABSTRACT

By using properties of canonical factorizations, we prove that under very mild assumptions, the shifted cyclic reduction method (SCR) can be applied for solving QBD problems with no breakdown and that it always converges. For general M/G/1 type Markov chains we prove that SCR always converges if no breakdown is encountered. Numerical experiments showing the acceleration provided by SCR versus cyclic reduction are presented.     

Admissibility of Linear Predictors in the Superpopulation Model with Respect to Inequality Constraints under Matrix Loss Function

Admissibility of linear predictors for the linear quantity Qy is investigated in a superpopulation model with respect to some inequality constraints. Necessary and sufficient conditions for a linear predictor to be admissible in the class of homogeneous linear predictors and the class of inhomogeneous linear predictors are obtained, respectively, under matrix loss function.