Testing the Gumbel Hypothesis Via the Pot-Method

We consider an i.i.d. sample, generated by some distribution function, which belongs to the domain of attraction of an extreme value distribution with unknown shape and scale parameters. We treat the scale parameter as a nuisance parameter and establish for the hypothesis of Gumbel domain of attraction an asymptotically optimal test based on those observations among the sample, which exceed a given threshold sequence. Asymptotic optimality is achieved along certain contiguous extreme value alternatives within the concept of local asymptotic normality (LAN). Adaptive test procedures exist under restrictive assumptions. The finite sample size behavior of the proposed test is studied by simulations and it is compared to that of a test based on the sample coefficient of variation.     

曙红薄膜的非线性近共振饱和吸收

近共振增强光学非线性材料及其在光学信号处理中的应用近十年来倍受重视。如相位共轭反射镜和光双稳态器件在光学联想存贮及光学数字处理器中的应用研究。人们在积极开发半导体材料(GaAs,InSb等)和光折变材料(BSO,BaCO_3,SBN等)的同时,开始对有机薄膜材料感兴趣,因为薄膜结构可避免激光光束在体材料中聚焦深度的不均匀性,另外通过压缩膜厚还可降低严格的布拉格条件。本文对由曙红(Eosin)制作的有机薄膜进行了考察。     

Alternating Eulerian polynomials and left peak polynomials

We first present grammatical interpretations for the alternating Eulerian polynomials of types A and B. As applications, we then derive several properties of the type B alternating Eulerian polynomials, including recurrence relations, generating function and unimodality. And then, we establish an interesting connection between alternating Eulerian polynomials of type B and left peak polynomials, which implies that the type B alternating Eulerian polynomials have gamma-vectors that alternate in sign.     

完全重叠色谱峰的二维微分色谱解析算法

利用完全重叠的色谱峰中同时消失的两组分的浓度变化速率差异，通过二维数据微分色谱法获取被掩盖组份的近似光谱，以解析完全重叠的色谱体系，将该法应用于维生素Ｃ和菸酸两组份完全重叠的二维色谱之分辨，结果令人满意，分辨光谱与标准光谱重合甚好。     

重叠伏安峰的样条卷积法分辨

建立了分辨重叠峰的样条卷积法；利用三阶样条函数构成的峰分辨函数与原信号进行卷积，直接对重叠的伏安峰进行处理，取得了较好的结果；被处理的重叠峰可达到其线分离，且峰位置的相对误差小于3．0％（完全重叠峰为5．4％），峰面积的相对误差小于2．0％；应用于镉（Ⅱ）－铟（Ⅲ）实验体系的微分脉冲伏安信号处理，取得满意的结果。     

Artificial neural networks based on genetic input selection for quantification in overlapped capillary electrophoresis peaks

The application of multilayer perceptron artificial neural networks (MLP ANN) based on genetic input selection for quantification of the unresolved peaks in micellar electrokinetic capillary chromatography (MECC) is reported. An optimization strategy for genetic input selection was also proposed. When the corresponding CE peaks cannot be resolved completely only by separation techniques, MLP ANN based on genetic input selection can be a suitable tool to resolve the problem. Both the spectra and the electrophoretograms of the unseparated analytes were used as the multivariate input data. The two kinds of the data were suitable for quantification of overlapped CE peaks by MLP ANN based on genetic input selection. The study also shows that the applying of genetic input selection in MLP ANN can improve the precision of quantification in both completely and partially overlapped CE peaks to some extent.     

小波变换用于色谱重叠峰的解析

利用小波变换的时频局部化性质，通过对色谱重叠峰信号小波变换后的某些频率段进行放大，使重叠谱峰得到了分离，并将此方法用于苯和甲苯二组分色谱体系的定量分析，重叠峰中各组分均得到了良好的线性关系及令人满意的定量分析。本文还讨论了不同小波基、分解的次数及放大系数在解析结果的影响。     

菌陈挥发油GC-MS指纹图谱分析

建立了菌陈挥发油GC-MS指纹图谱，将正交投影算法用于不同样本中共有峰的提取，提高了共有峰的识别能力，降低了由于保留时间的漂移、质谱检索匹配度不高以及色谱峰重叠而引起的共有峰识别的难度．采用共有峰率、变异率及相似度等几个指标对4个不同产地的菌陈挥发油成分进行了评价，从共性、差异和整体性等多个方面全面表征菌陈挥发油的化学模式特征．结果表明，不同产地的菌陈挥发油成分大致相同，该指纹图谱可用于菌陈中挥发油成分的质量控制．     

Correction method for quantitative area determination of overlapping chromatographic peaks based on the exponentially modified Gaussian (EMG) model

A simple method is presented for peak area correction of overlapping peaks. This correction is necessary for the normal approach of dealing with overlapping peaks by a vertical line at the valley point. The relative area errors caused by this vertical line are calculated as the correction factors in three dimensions of peak separation, peak ratio, and peak tailing skew. The calculation is based on the exponentially modified Gaussian asymmetric peak model.