活性污泥模型参数实际可识别性研究方法

可识别性研究是参数估计的第一步。对目前应用于活性污泥模型参数实际可识别性研究的三种方法进行了综述,根据模型的复杂程度以及所要研究的参数数量,研究者可选用不同的方法。     

水库抗旱调度分期特征确定方法研究

为在一定程度上减轻流域干旱损失,国家防汛抗旱总指挥部提出旱限水位的概念,并开展水库抗旱调度,降低干旱影响程度。旱限水位是水库低水位运行的控制性水位,其合理设置对提高区域水资源利用率意义重大,而水文气象特征在年内的阶段性变化要求基于旱限水位的水库管理应适应其变化特征。此次研究提出水库抗旱调度分期的确定方法,采用核主成分分析法提取指标的非线性特征,结合熵权法赋予指标权重后利用Fisher最优分割法对干旱的年内阶段性变化进行划分。以黄河流域刘家峡和小浪底水库为例,分期结果刘家峡水库分3期为:7月至9月,10月至3月,4月至6月;小浪底水库分3期为:7月至10月,11月至3月,4月至6月。     

基于最优分割理论的酸雨监控点位的分类研究

Fisher最优分割法是用离差平方和来表示同类样本之间的差异程度,通过简便的计算步骤和作图,确定最优分类数,使同类样本间的差异最小,各类别样本间的差异最大,并用F检验法检验最优分类数的合理性。文章根据Fisher最优分割法的理论内涵,研究其应用于酸雨环境监测优化布点的可行性。以漳州市沿海区域监测点为研究实例,用Fisher最优分割法确定最优的分类情况和最优的优化布点方案。结果表明,原布设的9个监测点用Fisher最优分割法优化为3个典型点位,可客观地反映漳州市酸雨控制区的整体污染状况和污染趋势,该方法理论内涵直观、计算简便、重复性好,对环境质量监测有重要的意义。     

Distribution-free two-sample comparisons in the case of heterogeneous variances

Behavioral ecologists are often faced with a situation where they need to compare the central tendencies of two samples. The standard tools of the t test and Mann–Whitney U test (equivalent to the Wilcoxon rank-sum test) are unreliable when the variances of the groups are different. The problem is particularly severe when sample sizes are different between groups. The unequal-variance t test (Welch test) may not be suitable for nonnormal data. Here, we propose the use of Brunner and Munzel’s generalized Wilcoxon test followed by randomization to allow for small sample sizes. This tests whether the probability of an individual from one population being bigger than an individual from the other deviates from random expectation. This probability may sometimes be a more clear and informative measure of difference between the groups than a difference in more commonly used measures of central tendency (such as the mean). We provide a recipe for carrying out a statistical test of the null hypothesis that this probability is 50% and demonstrate the effectiveness of this technique for sample sizes typical in behavioral ecology. Although the test is not available in any commercial software package, it is relatively straightforward to implement for anyone with some programming ability. Furthermore, implementations in R and SAS are freely available on the internet.     

土壤重金属污染评价Fisher模型的建立与应用

针对南充市区土壤重金属污染片区的分类结果,为了判断其有效性,应用多类Fisher判别法,建立了南充市区土壤重金属污染评价的Fisher模型。通过检验,模型具有显著的判别效果,因而该模型可被用于判断环境评价分类结果的有效性。     

基于Fisher判别法岩溶塌陷倾向性等级分类预测

为准确预测岩溶塌陷倾向性的等级分类,通过分析大量观测实例,选取岩性系数、岩体结构系数、地下水系数、覆盖层系数、地形地貌系数和环境条件系数作为模型判别因素。对12个实际观测样本进行训练,建立了基于Fisher判别分析法(FDA)的岩溶塌陷倾向性等级分类预测模型。借助SPSS软件工具,得到判别模型的4个判别函数。根据判别函数对训练样本进行回判,并对2个待判样本进行预测。结果显示:第一、第二判别函数的综合判别效率达到100%,大于规定的85%,满足工程实际应用需求;对训练样本进行回判时,误判率为零,同时对待判样本的分类预测准确率为100%。     

X~2分布、t分布和F分布的近似计算

当自由度很大时,三大抽样分布的P值无表可查,而且如果编程计算P值时,需要计算一个无穷区间上的广义积分,还会面临数值溢出的问题,解决这些问题需要较高的计算机编程技巧,这些不利于开发实用程序,限制了它们的实际应用。本文利用χ^2分布、一元t分布和一元F分布的一致渐进正态性、标准正态分布的分布函数近似计算公式和软件Mathematica 5．0,通过计算机仿真,指出当自由度较大时,可以用正态分布进行近似计算,避免了数值溢出和无穷区间的积分问题,为使用常用开发语言编程解决实际问题提供了一种可行方案,具有一定的应用价值。     

聚类分析和判别分析在安全评价中的综合应用

将多元统计方法中的聚类分析和Fisher判别分析综合应用于安全评价中,评价指标的系统效应权数有效避免了安全评价中人为赋予指标权重对评价结果的影响.分析了评价对象聚类的步骤和结果,探讨了评价对象所属安全等级的Fisher判别方法.最后通过对判别函数的分析与比较得出评价判别结果.     

The Integration of a Genetic Programming-Based Feature Optimizer With Fisher Criterion and Pattern Recognition Techniques to Non-Intrusive Load Monitoring for Load Identification

Identification of electricity energy consumption on individual household appliances used in a smart house is the first important step for making the use and conservation of electricity energy more efficient. In the past, Non-Intrusive Load Monitoring (NILM) techniques, which are part of smart grid techniques realized to improve electricity energy usage efficiency, have been developed to identify individual appliances with avoiding installing many smart meters for appliances in a field. In this paper, a new NILM technique that integrates an efficient Genetic Programming (GP)-based feature optimizer with pattern recognition techniques is proposed to identify which appliance is being turned on or off. The proposed GP-based feature optimizer with Fisher criterion is used to generate a more efficient feature than original potential transient features extracted from captured transient response of household appliances through analysis of NILM. The new feature generated by GP is used by pattern recognition techniques as load identifiers for load identification. The load identifiers used and compared in this paper include k-Nearest-Neighbor Rule, Back-Propagation Artificial Neural Network, and Learning Vector Quantization. Experiments are conducted under different single-load and multiple-load operation circumstances at different actual experimental environments with small disturbances. As shown from the experimental results, the proposed is confirmed to be feasible and usable.     

Fisher判别法在煤与瓦斯突出危险程度预测中的应用

为了提高煤与瓦斯突出的预测精度,根据煤与瓦斯突出的综合作用假说,选取开采深度、瓦斯压力、瓦斯放散初速度、煤的普氏系数以及煤体破坏类型作为判别指标。利用国内典型突出矿井20个实测数据作为训练样本,建立煤与瓦斯突出危险程度预测的Fisher判别分析模型,并应用于其他待判样本的预测。结果表明:Fisher判别分析模型能够反映多因素对煤与瓦斯突出的影响,分类性能良好,误判率低,借助SPSS软件实现,具有计算简单的特点,是煤与瓦斯突出预测的一种有效方法。