ABSTRACT
This chapter introduces a new distribution-free monitoring scheme based on specific order statistics fetched from a reference sample. Control charts are mainly used for process monitoring in the manufacturing industry. However, their application in fields outside their conventional usage is increasing. A great amount of monitoring schemes, already introduced in the literature, is based on the assumption that the process follows a specified probability distribution. The typical procedure to evaluate the out-of-control performance of a nonparametric control chart requires the out-of-control distribution to be specified. Moreover, the new control scheme composes a capable statistical tool for failure process monitoring. The numerical outcomes displayed throughout the manuscript, confirm the superiority of the new nonparametric control chart against other antagonistic schemes.
