粒子-转子模型和推转壳模型中的能谱统计分析

用粒子–转子模型和推转壳模型研究了6个粒子分别填充在单j壳和双j壳上的混沌行为.分析了单j壳和双j壳情况下能谱的最近邻能级间距分布和谱刚度随自旋及推转频率的变化,结果表明,当组态空间大小不变时,系统在双j壳(g_7/2+d_5/2)情况下比在单j壳(i_13/2)情况下更规则,而当组态空间从单j壳(i_13/2)扩大到双j壳(i_13/2+g_9/2)时,系统的混沌程度变化不大.同时比较了将6个粒子的两体相互作用分别取为δ力和对力时的系统的混沌行为     

Multiple Window and Cluster Size Scan Procedures

Researchers apply scan statistics to test for unusually large clusters of events within a time window of specified length w, or alternatively an unusually small window w that contains a specified number of events. In some cases, the researcher is interested in testing for a range of specified window lengths, or a set of several specified number of events k (cluster sizes). In this paper, we derive accurate approximations for the joint distributions of scan statistics for a range of values of w, or of k, that can be used to set an experiment-wide level of significance that takes into account the multiple comparisons involved. We use these methods to compare different ways of choosing the window sizes for the different cluster sizes. One special case is a multiple comparison procedure based on a generalized likelihood ratio test (GLRT) for a range of window sizes. We compare the power of the GLRT with another method for allocating the window sizes. We find that the GLRT is sensitive for very small window sizes at the expense of moderate and larger window sizes. We illustrate these results on two examples, one involving clustering of translocation breakpoints in DNA, and the other involving disease clusters.     

APT 理论的非参数解释

本文用非参数回归方法中的核函数法和最近邻法来解释ＡＰＴ理论．通过不同核函数的选择和最近邻估计中参数的变化以及鲁棒性回归的辅助解释,来寻找ＡＰＴ理论较好的非参数解释．     

QSPR Modeling of Gibbs Free Energy of Organic Compounds by Weighting of Nearest Neighboring Codes

We examine the encoding of chemical structure of organic compounds by Labeled Hydrogen-Filled Graphs (LHFGs). Quantitative Structure-Property Relationships (QSPR) for a representative set of 150 organic molecules have been derived by means of the optimization of correlation weights of local invariants of the LHFGs. We have tested as local invariants Morgan extended connectivity of zero- and first order, numbers of path of length 2 (P2) and valence shells of distance of 2 (S2) associated with each atom in the molecular structure, and the Nearest Neighboring Codes (NNC). The best statistical characteristics for the Gibbs free energy has been obtained for the NNC weighting. Statistical parameters corresponding to this model are the following n = 100, r² = 0.9974, s = 5.136 kJ/mol, F = 38319 (training set); n = 50, r² = 0.9990, s = 3.405 kJ/mol, F = 48717 (test set). Some possible further developments are pointed out.     

评判紧邻间距分布函数性质的一类渐近尺度

根据两种渐近量的定义，研究了七种能谱涨落模型之紧邻间距分布函数的渐近性质及其物理内涵，并在此基础上对紧邻间距分布函数作出了系统分类和适用性说明。研究结果表明Ｂｒｏｄｙ分布函数具有最为广泛的普适性。     

非线性时序的混沌特性分析与预测

非线性时间序列相空间重构过程中的参数选择问题以及有效的预测方法一直是该领域研究的热点和难点，基于虚假最近邻域概念，同时确定最佳的嵌入维数m与时间延迟τ，对实际非线性时间序列进行相空间重构，求解出时间序列最在Lyapunov指数LE，验证了其中混沌特性，其可预报尺度为[1／LE]．并应用基于[1／LE]个输入神经元与Kenya提出的m：2m：m：1这两种人工神经网络结构对非线性时间序列进行训练和预测，预测结果的平均误差分别为4％和2％左右，后一种神经网络结构能提供更好的预测结果。     

NSD样本最近邻密度估计的相合性

利用负超可加相依(NSD)序列的Bernstein不等式和Borel-Cantelli引理, 给出NSD样本最近邻密度估计和失效率函数估计的(弱)强相合性、 一致强相合性和(一致)强相合速度.     

中西部地区人口就近城镇化意愿的受教育程度差异研究

基于对中西部地区15个省市农业转移人口就近城镇化意愿的问卷调查数据,以社会认同度为研究视角,构建多群组结构方程模型分析中西部地区人口就近城镇化的受教育程度差异及其影响因素。研究结果表明:个人特征差异性对中西部地区不同受教育程度的农业转移人口的就近城镇化意愿影响显著;中西部地区不同受教育程度的农业转移人口的社会认同度与其就近城镇化意愿显著正相关,且社会认同度对中西部地区小学及以下学历的农业转移人口就近城镇化意愿的影响最显著,大专及以上学历的农业转移人口的就近城镇化意愿受社会认同度的影响最小。     

END样本最近邻密度估计的强相合速度

本文研究了扩展负相依(END)样本最近邻密度估计的强相合性问题.利用END序列的Bernstein型不等式和截尾的方法,获得了END样本最近邻密度估计的强相合速度,推广了NA样本和ND样本最近邻密度估计的相应结果.     

RS-GA-KNN算法识别灵长类动物DNA序列剪接位点

以灵长类动物DNA序列的剪接位点识别资料为研究对象,将选定样本序列中各碱基编码作为原始变量数据,用粗糙集方法和遗传算法对原始变量数据进行变量筛选,即以粗糙集方法选取的变量为基础,用遗传算法进行变量的二次搜索,从样本序列各碱基中挑选出保守性强的碱基对应的变量构成变量集,采用最近邻聚类识别灵长类动物DNA序列剪接位点类型,总识别准确率达90．66％,明显高于直接使用原始变量数据或将粗糙集理论方法和遗传算法单独用于变量选取的识别结果．