In this article, we introduce a phase II distribution-free CUSUM chart based on the Cucconi statistic. The proposed chart is Nonparametric in nature and therefore all the in control (IC) properties of the proposed chart remain invariant and known for all univariate continuous process distributions. We evaluate the Control limits for implementation of the chart. The IC and out of control (OOC) performance of the chart are comprehensively examined in terms of the average, standard deviation, median and some percentiles of the corresponding run length distributions. We carry out thorough comparisons of the proposed chart with the some of its competitors. The proposed chart is illustrated through the piston ring data.
A New Distribution-free CUSUM Control Chart for Joint Monitoring of Location and Scale
MAROZZI, Marco
2014
Abstract
In this article, we introduce a phase II distribution-free CUSUM chart based on the Cucconi statistic. The proposed chart is Nonparametric in nature and therefore all the in control (IC) properties of the proposed chart remain invariant and known for all univariate continuous process distributions. We evaluate the Control limits for implementation of the chart. The IC and out of control (OOC) performance of the chart are comprehensively examined in terms of the average, standard deviation, median and some percentiles of the corresponding run length distributions. We carry out thorough comparisons of the proposed chart with the some of its competitors. The proposed chart is illustrated through the piston ring data.I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
