Minkowski 不等式的进一步拓广

将正定（实对称）阵的Ｍｉｎｋｏｗｓｋｉ不等式拓广到更一般的一类矩阵，推广和改进了有关文献的结果．     

新疆区域经济差异及其影响因素分析

采用洛伦茨曲线、基尼系数、泰尔指数、非参数分析法及Shorrocks转换矩阵对1978-2009年新疆区域经济差异进行分析,结果表明新疆区域经济发展水平差异呈逐渐加大的趋势,其主要是由于新疆不同区域间发展不平衡造成的；同时,新疆区域经济发展的不平衡是在区域经济格局越来越稳定的惯性中发生的.根据对新疆区域经济差异影响因素的分析,应加大对新疆固定资产投资,并注意投资区域布局的合理化；加快新疆教育事业发展,努力实现教育与经济的协调发展；加快新疆产业结构的调整,推进产业结构的合理化和高级化.     

Statistical methodology for assessing homology of intronic regions of genes

We consider the problem of statistically evaluating the similarity of DNA intronic regions of genes. Present algorithms are based on matching a sequence of interest with known DNA sequences in a gene bank and are designed primarily to assess homology among exonic regions of genes. Most research focuses on exonic regions because they have a clear biological significance, coding for proteins, and therefore tend to be more conserved in evolution than intronic regions. To investigate whether the intronic features of genes whose expression is highly sensitive to environmental perturbations differ from genes that have a more constant expression, a collection of oncogenes, tumor suppressor genes, and nonregulatory genes involved in energy metabolism are compared. An analysis of the features of these genes' intronic regions result in clustering by regulatory group. In addition, Billingsley's test for Markov structure (1961) suggests that 67% of the intronic regions in this collection of genes show evidence of nonrandom structure, indicating the possibility of a biological function for these regions. The result of Billingsley's test for homology is used as input to a clustering algorithm. The biological significance of this methodology lies in the identification of groups based on the intronic regions from genes of unknown function. With the advent of rapid sequencing techniques, there is a great need for statistical techniques to help identify the purpose of poorly understood portions of genes. These methods can be utilized to assess the functional group to which such a gene might possibly belong.     

非负矩阵谱半径的估计

对非负矩阵谱半径的界值给出了一个新的估计.并引进某些自由参数,使谱半径得到了更一般的结果。     

有关P_B~⊥P_A、P_A~⊥P_B的矩阵等式和秩等式

在M=(A B)中,令A1=P⊥BPA,B1=P⊥APB,利用投影算子理论和矩阵秩方法可以得到关于A1,B1的一些矩阵等式和秩等式.     

N80 钢/SiO2 基涂层/油井水泥石的界面特征研究

为了提高固井一界面的胶结强度,采用热化学反应法在N80 钢制套管钢基体上制备SiO2 基陶瓷涂层作为套管和水泥石之间的过渡层。通过X 射线衍射结构分析、扫描电子显微镜和体视显微镜形貌观察以及划痕仪涂层结合力测试,研究了N80 钢/SiO2 基涂层/油井水泥石的界面微观结构特征和结合行为。结果表明,陶瓷涂层内部和陶瓷涂层/水泥石界面分别产生了新相MgAl2O4 和Ca54MgAl2Si16O90;陶瓷涂层与钢基体结合力的临界载荷在40 N 左右,陶瓷涂层的制备起到了提高套管与水泥石结合强度的作用。     

Tempered Regrets Under Total Ignorance

Several decision rules, including the minimax regret rule, have been posited to suggest optimizing strategies for an individual when neither objective nor subjective probabilities can be associated to the various states of the world. These all share the shortcoming of focusing only on extreme outcomes. This paper suggests an alternative approach of tempered regrets which may more closely replicate the decision process of individuals in those situations in which avoiding the worst outcome tempers the loss from not achieving the best outcome. The assumption of total ignorance of the probabilities associated with the various states is maintained. Applications and illustrations from standard neoclassical theory are discussed.     

寻找有理根的新方法

提出了用矩阵讨论多项式的有理根 ,用列表法一次性求出有理根 .     

(M,S)-optimal row-column designs

Row-column designs may be considered to have two blocking schemes, namely the treatments by rows and treatments by columns component block designs. The (M,S)-optimality criterion is applied to row-column designs, and che connection between the (M,S)-optimal design and its component block designs is demonstrated.     

Matrix-analytic Models and their Analysis

We survey phase-type distributions and Markovian point processes, aspects of how to use such models in applied probability calculations and how to fit them to observed data. A phase-type distribution is defined as the time to absorption in a finite continuous time Markov process with one absorbing state. This class of distributions is dense and contains many standard examples like all combinations of exponential in series/parallel. A Markovian point process is governed by a finite continuous time Markov process (typically ergodic), such that points are generated at a Poisson intensity depending on the underlying state and at transitions; a main special case is a Markov-modulated Poisson process. In both cases, the analytic formulas typically contain matrix-exponentials, and the matrix formalism carried over when the models are used in applied probability calculations as in problems in renewal theory, random walks and queueing. The statistical analysis is typically based upon the EM algorithm, viewing the whole sample path of the background Markov process as the latent variable.