基于角度技术标准,研究总体质量特性值服从Von Mises分布M(μ0,K)的角度质量控制问题。应用方向数据统计方法,从平均方向和合向量长度的概念出发,研究角度单值的分布和移动合向量长度的分布,给出标准值给定和标准值未给定两种情况下角度单值控制图和移动合向量长度控制图的控制限。测算结果表明Von Mises分布M(μ0,K)的刻度参数对控制限的大小起着关键作用。
The primary goal of this research is to study the angle quality control whose general quality characteristics obeys Von Mises distribution , based on the technical standards for angles. The single angle distribution and the sistribution of moving resultant length were studied by using the statistics for directional data, and the control limits of single value control chart and moving resultant length control chart with or without the given standard values were calculated. The results show that the concentration parameter of Von Mises distribution plays a key role in deciding the control limits.