中文摘要：

线性模型是经典统计学的基本内容，主要应用于随机数据的建模分析。如何对非随机的模糊或灰色等不分明性数据进行模型构建和统计分析。基于灰色系统理论，在一系列关于灰色统计推断理论的研究基础上，将灰色估计和灰色假设检验等方法拓展到线性模型的参数估计和假设检验中。与经典统计分析方法进行对比，为不分明数据的建模分析提供新的方法。

英文摘要：

Linear model is the basic content of classical statistics, which is mainly applied to the modeling and analysis of random data. How to model and analyze the data of non random fuzzy or grey. Based on the theory of grey system, a series of grey statistical inference methods are extended to the parameter estimation and hypothesis test of linear model. Compared with the classical statistical analysis methods, the paper provides a new method for modeling and analyzing the data.