Self-quenched dynamics

We introduce a model for the slow relaxation of an energy landscape caused by its local interaction with a random walker whose motion is dictated by the landscape itself. By choosing relevant measures of time and potential this self-quenched dynamics can be mapped on to the “True” Self-Avoiding Walk model. This correspondence reveals that the average distance of the walker at time t from its starting point is , where for one dimension and 1/2 for all higher dimensions. Furthermore, the evolution of the landscape is similar to that in growth models with extremal dynamics. Received 8 August 2000     

A note on natural risk statistics

Recently Heyde, Kou and Peng [C.C. Heyde, S.G. Kou, X.H. Peng, What is a good external risk measure: Bridging the gaps between robustness, subadditivity, and insurance risk measures, 2007, preprint.] proposed the notion of a natural risk statistic associated with a finite sample that relaxes the subadditivity assumption in the classical coherent risk statistics. In this note we use convex analysis to provide alternate proofs of the representation results regarding natural risk statistics.     

正态假设下峰度检验统计量的分布的拟合

本文利用Johnson S_U族分布拟合了正态总体的峰度统计量的分布,获得了200≤n≤5000时该统计量的分位数。     

A note on testing for constant hazard against a change-point alternative

Summary The problem of testing for constant hazard against a change-point alternative is considered. It is shown that this problem is related to another one in quality control. Based on this relationship, a test is proposed. The main advantages of this test are its computational simplicity and the ready availability of small and large sample distribution theory.     

机动车辆运行状态自动跟踪管理网络系统

介绍一种机动车运行状态自动跟踪管理网络系统，并对该系统中实现收费公路的无等待自动登记收费、区域车辆流动状态统计、环境污染统计和被盗劫车辆定位跟踪等功能做了较为详细的分析和介绍。     

数理统计理论在现代企业管理中的应用

利用数理统计的理论和方法对企业管理中的产品质量、检验、库存及企业决策等问题进行了定量化分析，指出企业应根据现有的数据信息，利用统计理论指导实践，提高经济效益．     

汉语人名用字的统计分析

统计7万余个人名运用的字种数、频率及字调分布,分析可知人名命名具有较强的文化传承性、相对的性别区别性、较为稳定的时代性、和谐悦耳的音乐性等特性,并分析了人名用字＂华＂字高频率使用的原因。     

边耦合量子点系统的全计数统计研究

基于有效粒子数分辨的量子主方程,研究了边耦合双量子点系统中电子的全计数统计.当点间隧穿耦合强度与量子点电极耦合强度的比值小于某一数值(约为1/3)时,可以观察到超泊松噪声,并且超泊松散粒噪声可以用快慢输运通道解释.此外,系统量子相干性对电子全计数统计的影响只有在点间隧穿耦合强度相对于量子点电极耦合强度较弱时起主要作用.     

Perturbation method for determining the group of invariance of hierarchical models

We propose a perturbation method for determining the (largest) group of invariance of a toric ideal defined in [S. Aoki, A. Takemura, The largest group of invariance for Markov bases and toric ideals, J. Symbolic Comput. 43 (5) (2008) 342–358]. In the perturbation method, we investigate how a generic element in the row space of the configuration defining a toric ideal is mapped by a permutation of the indeterminates. Compared to the proof by Aoki and Takemura which was based on stabilizers of a subset of indeterminates, the perturbation method gives a much simpler proof of the group of invariance. In particular, we determine the group of invariance for a general hierarchical model of contingency tables in statistics, under the assumption that the numbers of the levels of the factors are generic. We prove that it is a wreath product indexed by a poset related to the intersection poset of the maximal interaction effects of the model.     

三维变异函数的稳健统计学计算方法及其应用

在应用地质统计学进行矿床建模工作中，变异函数的计算和拟合占有非常重要的地位，其结果的好坏将直接影响建模效果．针对传统变异函数计算及拟合方法的缺陷，运用稳健统计学理论，讨论了三维情况下实验变异函数的计算以及拟合方法．矿床建模实践表明，采取上述技术取得了良好的效果．