中文摘要：

以灰色系统理论为基础，提出一种新的假设检验方法即灰假设检验，以解决经典统计理论的某些问题。这种方法从生成排序与规范化数据序列出发，用灰关联原理定义灰置信水平、灰差与属性权重映射等概念，建立系统属性假设检验的灰否定域。对理想系统如正态分布、瑞利分布、均匀分布与周期系统等，以及实际工程系统如滚动轴承振动与噪声关系等进行试验研究，结果表明所提出的灰假设检验方法对系统属性和系统间的独立性没有任何特殊要求，允许概率分布未知与数据个数很少，并具有很好的检验效果，灰置信水平达到95％。

英文摘要：

Based on grey system theory, a novel method of hypothesis testing is proposed to solve some problems of classical statistics, This method is called grey hypothesis testing. Started with generating the.order and normative data ranks, the grey rejected region of hypothesis testing, characterized by defining the special conceptions, for example grey confidence level, grey difference, and attribute weighting mapping, etc, is suggested using grey relational element. Perfect systems such as normal distribution, uniform distribution, Rayleigh distribution and periodic change system, etc, and practical engineering systems such as system about vibration and noise of rolling bearings are investigated. The method proposed permits probability distribution unknown and sample data small, without any especial requirement for attribute of systems and independence between systems. Some good efficacy by dim of the grey hypothesis testing method is validated, and the approximate 95% grey confidence level is yielded.