紧支撑多元向量值小波包的正交性

给出数量矩阵mIr(2≤m∈Z)伸缩的多元向量值小波包的定义及其构造方法.运用代数学理论,算子理论与时频分析方法,讨论多元向量值小波包的正交性,得到多元向量值小波包的正交公式.     

多维MA(q)模型的h步适时递推预测

讨论了新息递推算法的理论和方法,将新息算法运用于多维MA(q)模型的预测问题,利用有穷观测值导出并证明了多维MA(q)模型的h步适时递推预测公式.     

A multivariate approach to socio-ecological development and endocrine variance in the spotted hyaena,Crocuta crocuta Erxleben

This investigation of the socio-ecological development and endocrine variance in the spotted hyaena,Crocuta crocuta, illustrates that the complexity of a multivariate endocrine system cannot fully be understood using the concept of a class mean (). Any comprehensive investigation of a multivariate endocrine system should also include an analysis of variance (), as it may provide additional insights into the dynamics of an endocrine hypervolume. Mean cortisol concentrations could not differentiate between various social and reproductive categories (MANOVA); however, in males an analysis of variance (principal component analysis) indicated that the contrast between cortisol and androstenedione was the principle axis of variance once the androgen secreting ability had been accounted for. On the other hand, the same contrast was found to be the principal axis of variance in the female sub-sample, suggesting that cortisol may play a significant role in regulating the endocrine dynamics of this species, despite showing little variance in mean values among various social and reproductive categories.     

蔗糖份的积累与气象因子关系的初步分析

甘蔗糖份含量的高低是决定糖厂榨季经济效益的一个重要因素。本文对蔗糖份的积累与气象因子的关系做了初步分析,找出影响蔗糖份积累的关键因子,运用数理统计方法,建立了一个多元直线回归方程,对未来榨季的蔗糖份进行试报,效果良好,可供糖厂参考。     

内蒙古草原植物群落分布格局及其主导环境因子解释

基于内蒙古地区草原植物群落样带调查,采用双向指示种分析(TWINSAPN)、除趋势对应分析(DCA)、多元回归树(MRT)和典范对应分析(CCA)等方法,探讨了群落组成、分布格局及影响其分异的主导环境因子.结果如下:1)TWINSPAN将273个群落调查样方划分为8个群系级草原类型,各自代表并反映出该地区草原群落的特点;2)DCA排序结果间接地反映出群落类型与环境梯度之间的关系,CCA排序结果较好地展示了各群落类型中优势物种的生境特征,并进一步展示了该地区草原类型、主要物种与环境因子的响应关系;3)DCA、MRT及CCA结果均表明,气候因素对于该地区草原植被的地域分异影响作用较大,其中水分因子的影响十分突出,特别是最湿月、最暖季节与最冷季节降水,是构成内蒙草原植被类型区域分异的决定性因素;4)MRT与CCA结合使用能进一步挖掘出更多的环境信息,为群落分布格局的形成原因提供更深入更全面的环境解释.     

二、三水平正交试验广义方差分析的探讨及应用

应用多元线性模型理论和最小二乘法推导出二、三水平多指标正交表的列效应矩阵公式及其概率分布,从而得到二、三水平正交试验的广义方差分析的检验统计量,进而对因子效应进行显著性检验,作定量分析.     

Assessment of morphometric characters to delimit species of Apolpium Chamberlin, 1930 (Pseudoscorpiones,Olpiidae)

ABSTRACT

Pseudoscorpiones is a mesodiverse order of Arachnida, with more than 3600 described species in the world. Species delimitation is sometimes difficult due to the high variability of some characters, difficulty in finding informative and useful characters for species differentiation and the subjectivity of individual specialists. The aim of this work is to explore and to evaluate the role of morphometric characters in species delimitation within the genus Apolpium (Olpiidae). Measurements of 17 structures of 57 individuals were taken and their length/width ratios calculated. Cluster analyses, principal components analyses, discriminant function analyses and non-metric multidimensional scaling were carried out. The results showed low resolution for the number of species currently recognised in the genus. These results highlight the importance of looking for other morphological characters, and also for a more rigorous assessment of previously used characters for defining species.     

试验设计在一类非线性规划问题中的应用

给出优良稳定中心的定义，应用试验设计选优方法处理一类非线性规划问题，并通过算例比较说明本方法的有效性．     

Conditional volatility forecasting in a dynamic hedging model

This paper addresses several questions surrounding volatility forecasting and its use in the estimation of optimal hedging ratios. Specifically: Are there economic gains by nesting time‐series econometric models (GARCH) and dynamic programming models (therefore forecasting volatility several periods out) in the estimation of hedging ratios whilst accounting for volatility in the futures bid–ask spread? Are the forecasted hedging ratios (and wealth generated) from the nested bid–ask model statistically and economically different than standard approaches? Are there times when a trader following a basic model that does not forecast outperforms a trader using the nested bid–ask model? On all counts the results are encouraging—a trader that accounts for the bid–ask spread and forecasts volatility several periods in the nested model will incur lower transactions costs and gain significantly when the market suddenly and abruptly turns. Copyright © 2005 John Wiley & Sons, Ltd.     

多元统计分析课程教学体会和探讨

多元统计分析是研究如何有效地利用多维数据样本，对所考察的问题进行合理地分析，进而提供科学决策的一门学科．根据该课程的特点，从教学理念、教学内容和教学方法几个方面进行探讨，提出了本着激发学生兴趣，利用背景建立目标函数的教学内容，理论教学与实际问题相结合的教学方法，培养学生运用统计方法分析问题和解决问题能力的观点．