支持向量机在围岩变形监测中的应用

根据支特向量机优越的非线性拟合性能,建立变形量的时间序列预测模型,滚动预测围岩变形量,提高了预测模型的训练速度和预测推广能力。该方法用于西乡-固戍盾构段围岩变形预测,并与BP神经网络预测进行比较。结果表明这种模型可预测区间较长且具有较高的准确度,能够科学地指导现场施工和监测。     

右半平面上随机Dirichlet级数的值分布

将一个较宽的系数条件推广到随机~Dirichlet 级数上, 并证明了右半平面上的有限级随机~Dirichlet 级数几乎必然~(a.s.) 以虚轴上 每一点为没有例外小函数的强~Borel 点.     

基于可视图的衡阳市大气污染物时间序列分析

为研究大气污染物时间序列的非线性特征,基于2016年1月至2017年12月衡阳市PM2.5和PM10质量浓度时间序列,应用可视图方法将两组时间序列映射到复杂网络中,并研究了相应网络的拓扑性质.结果表明:PM2.5和PM10浓度时间序列网络的平均聚类系数、直径、网络密度和平均路径长度等网络特征参数和统计特征参数基本相同....     

丛书与多卷书分类探析

阐述了单主题图书、多主题图书分类的基本原则,论述了丛书、多卷书的分类原则及具体做法,分析了产生同书异号的主要原因,并提出了解决问题的办法。     

基于Hurst指数的飞机完好率混沌时序数据时滞性分析

通过研究Hurst指数随时间变化曲线的特性,提出了一种计算和判断混沌时间序列平均最大“记忆”长度(“平均循环周期”)的方法。并应用于对飞机完好率时间序列数据的时滞性实证分析,分析结果得到了有关专家的认可,为进一步的评价分析奠定了基础。     

电源的串联、并联与电桥连接

在电子线路中，有许多电子元件的串联、并联问题．对直流电源的串联、并联问题，目前没有得出一种简捷明确的形式．采用基尔霍夫定律，通过对电路的分析，得到直流电源串联、并联电路中总电动势、总内阻与各电源电动势、各内阻的简明关系，使用等电位分析法可推广到电源的桥式电路中．     

On a dynamic mixture GARCH model

This paper proposes a new mixture GARCH model with a dynamic mixture proportion. The mixture Gaussian distribution of the error can vary from time to time. The Bayesian Information Criterion and the EM algorithm are used to estimate the number of parameters as well as the model parameters and their standard errors. The new model is applied to the S&P500 Index and Hang Seng Index and compared with GARCH models with Gaussian error and Student's t error. The result shows that the IGARCH effect in these index returns could be the result of the mixture of one stationary volatility component with another non‐stationary volatility component. The VaR based on the new model performs better than traditional GARCH‐based VaRs, especially in unstable stock markets. Copyright © 2008 John Wiley & Sons, Ltd.     

Henderson‐Trending of Macroeconomic Variables and Forecasting Accuracy

Using a structural time‐series model, the forecasting accuracy of a wide range of macroeconomic variables is investigated. Specifically of importance is whether the Henderson moving‐average procedure distorts the underlying time‐series properties of the data for forecasting purposes. Given the weight of attention in the literature to the seasonal adjustment process used by various statistical agencies, this study hopes to address the dearth of literature on ‘trending’ procedures. Forecasts using both the trended and untrended series are generated. The forecasts are then made comparable by ‘detrending’ the trended forecasts, and comparing both series to the realised values. Forecasting accuracy is measured by a suite of common methods, and a test of significance of difference is applied to the respective root mean square errors. It is found that the Henderson procedure does not lead to deterioration in forecasting accuracy in Australian macroeconomic variables on most occasions, though the conclusions are very different between the one‐step‐ahead and multi‐step‐ahead forecasts. Copyright © 2011 John Wiley & Sons, Ltd.     

数学机械化方法在特征值问题中的应用

将我国数学家吴文俊在二十世纪七十年代倡导的并发展起来的数学机械化理论和方法应用到代数特征值问题中,把现代的数学观点反映到数学教学中来,这对于提高学生的数学思维层次,发展创新意识和实践能力会有一定的帮助.     

无限阶矩阵李代数余伴随表示的刻画

设M（∞）是C上所有无限阶矩阵构成的向量空间,gl（∞）是M（∞）的一个特殊子空间,关于括积运算gl（∞）是一个李代数.对gl（∞）的李子代数g,令g＊是g的对偶空间,g＋是g的受限对偶空间.定义了g在g＊上的余伴随作用,使其成为g-模,g＋是g＊的g-子模.证明了gl（∞）中存在子空间W,作为g-模,它与g＋同构.