One-Sided Cumulative Sum Control Chart For Monitoring Shift In The Scale Parameter Lambda, (λ) Of The New Weibull-Pareto Distribution

Abstract

In this study, a new cumulative sum (CUSUM) control chart has been proposed to detect a shift in one of the scale parameters of the New Weibull-Pareto Distribution (NWPD). The V-Mask method was employed in the CUSUM construction. The study indicated a significant changes in the parameters of the V-Mask when a slight shift occurs in the scale parameter under study. The parameters observed in the V-mask included the mask angle, the lead distance and the Average Run Length (ARL).