Kurtosis correction method for X̄ and R control charts for long‐tailed symmetrical distributions
Kurtosis correction method for X̄ and R control charts for long‐tailed symmetrical distributions
复制标题
DOI：
10.1002/nav.20211
复制
发表时间：
2007-06
期刊：
影响因子：
--
通讯作者：
P. Tadikamalla;Dana G. Popescu
中科院分区：
文献类型：
--
作者：
P. Tadikamalla;Dana G. Popescu
本文提出了一种峰度校正（KC）方法，用于构造对称长尾（尖峰）分布的X控制图和R控制图。控制图类似于休哈特控制图，非常容易使用。根据实际（子组）数据估计的峰度推导控制限。假设潜在的质量特性是对称分布的，并且没有做出其他分布和/或参数假设。控制图常数制成表格，这些图表的性能进行了比较与休哈特控制图。对于Logistic分布的情况，导出了精确控制限，并与KC法和Shewhart法进行了比较。© 2007 Wiley Periodicals，Inc.海军研究后勤，2007年
This paper proposes a kurtosis correction (KC) method for constructing the X̄ and R control charts for symmetrical long‐tailed (leptokurtic) distributions. The control charts are similar to the Shewhart control charts and are very easy to use. The control limits are derived based on the degree of kurtosis estimated from the actual (subgroup) data. It is assumed that the underlying quality characteristic is symmetrically distributed and no other distributional and/or parameter assumptions are made. The control chart constants are tabulated and the performance of these charts is compared with that of the Shewhart control charts. For the case of the logistic distribution, the exact control limits are derived and are compared with the KC method and the Shewhart method. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007