Li Cong, Cui Shuai, Wang Dehui
School of Mathematics, Jilin University, Changchun 130012, China.
School of Economics, Liaoning University, Shenyang 110036, China.
Entropy (Basel). 2021 Mar 20;23(3):372. doi: 10.3390/e23030372.
In this research, we consider monitoring mean and correlation changes from zero-inflated autocorrelated count data based on the integer-valued time series model with random survival rate. A cumulative sum control chart is constructed due to its efficiency, the corresponding calculation methods of average run length and the standard deviation of the run length are given. Practical guidelines concerning the chart design are investigated. Extensive computations based on designs of experiments are conducted to illustrate the validity of the proposed method. Comparisons with the conventional control charting procedure are also provided. The analysis of the monthly number of drug crimes in the city of Pittsburgh is displayed to illustrate our current method of process monitoring.
在本研究中，我们考虑基于具有随机生存率的整数值时间序列模型，对零膨胀自相关计数数据的均值和相关性变化进行监测。由于累积和控制图的有效性，构建了该控制图，并给出了平均运行长度和运行长度标准差的相应计算方法。研究了有关该控制图设计的实用指南。基于实验设计进行了大量计算，以说明所提方法的有效性。还提供了与传统控制图程序的比较。展示了对匹兹堡市每月毒品犯罪数量的分析，以说明我们当前的过程监测方法。
