幺半环上几类模糊自动机的关系

给出了幺半环上非确定的模糊自动机和确定的模糊自动机及其语言的定义,证明了幺半环上三类非确定的模糊自动机间的等价性和三类确定的模糊自动机间的等价性,讨论了幺半环上三类非确定的模糊自动机和第四类非确定的模糊自动机之间的关系,以及幺半环上非确定的模糊自动机和确定的模糊自动机之间的关系.  

偏最小二乘建模在R软件中的实现及实证分析

通过介绍偏最小二乘（PLS）的建模和显著性检验原理，解决了小样本多变量且变量间存在多重共线性的回归问题，建立了多变量对多变量的回归模型，并使用R软件（版本为Ri3862．15．1）实现了PLS建模；最后基于葡萄和葡萄酒理化指标数据进行了实证分析．  

Toward a Common Framework for Statistical Analysis and Development

We develop a general ontology of statistical methods and use it to propose a common framework for statistical analysis and software development built on and within the R language, including R's numerous existing packages. This framework offers a simple unified structure and syntax that can encompass a large fraction of existing statistical procedures. We conjecture that it can be used to encompass and present simply a vast majority of existing statistical methods, without requiring changes in existing approaches, and regardless of the theory of inference on which they are based, notation with which they were developed, and programming syntax with which they have been implemented. This development enabled us, and should enable others, to design statistical software with a single, simple, and unified user interface that helps overcome the conflicting notation, syntax, jargon, and statistical methods existing across the methods subfields of numerous academic disciplines. The approach also enables one to build a graphical user interface that automatically includes any method encompassed within the framework. We hope that the result of this line of research will greatly reduce the time from the creation of a new statistical innovation to its widespread use by applied researchers whether or not they use or program in R.