A control chart for COM-Poisson distribution using a modified EWMA statistic

作者:Aslam Muhammad*; Saghir Aamir; Ahmad Liaquat; Jun Chi Hyuck; Hussain Jaffer
来源:Journal of Statistical Computation and Simulation, 2017, 87(18): 3491-3502.
DOI:10.1080/00949655.2017.1373114

摘要

In this paper, a control chart has been developed for the Conway-Maxwell Poisson (COM-Poisson) distribution using the modified exponentially weighted moving average statistic. The proposed chart provides an efficient detection of smaller changes in the location parameter of the COM-Poisson distribution. The performance of the proposed control chart has been evaluated by the average and the standard deviation of the run length distribution for various parameters. Better detecting ability has also been compared with the existing control chart using EWMA statistic. Using simulation, we also showed the detecting ability over the traditional EWMA chart.

  • 出版日期2017