Max-EWMA Chart Using Beta and Simplex Distributions for Time and Magnitude Monitoring

Control charts are used to detect assignable causes in different manufacturing and nonmanufacturing processes. This study presents a new maximum exponentially weighted moving average (Max-EWMA) chart for joint unit interval time magnitude monitoring. To this end, beta distribution is considered whereas simplex magnitude. Average run length (ARL), standard deviation of (SDRL), quantiles evaluate the performance Max-EWMA chart. A real data example also included show application proposed The results provide evidences that efficient detecting small- medium-sized shifts.