Abstract—The objective of this paper is to show an explicit formula for Double Moving Average chart of Zero Inflated Binomial process (DMAZIB). The ARL is a traditional measurement of control chart’s performance, the expected number of observations taken from an in-control process until the control chart falsely signals out-of-control is denoted by 0 ARL . An 0 ARL will be regarded as acceptable if it is large enough to keep the level of false alarms at an acceptable level. A second common characteristic is the expected number of observations taken from an out-of-control process until the control chart signals that the process is out-of-control is denoted by 1 ARL . Especially, the explicit analytical formulas for evaluating 0 ARL and 1 ARL be able to get a set of optimal parameters which depend on width of double moving average ( w ) and width of control limit ( k ) for designing DMAZIB chart with minimum of 1 ARL .

Index Terms—Zero inflated binomial (ZIB) distribution, double moving average control chart (DMA), average run length (ARL).

Yupaporn Areepong is with Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand (email: yupaporn.a@sci.kmutnb.ac.th).

Cite: Yupaporn Areepong, "Statistical Design of Double Moving Average Scheme for Zero Inflated Binomial Process," International Journal of Applied Physics and Mathematics vol. 6, no. 4, pp. 185-193, 2016.