Control charts for zero-inflated processes have attracted the interest of the researchers in the recent years. In this work we investigate the performance of Shewhart-type charts for zero-inflated Poisson and zero-inflated Binomial processes, in the case of estimated parameters. This is a case that usually occurs in practice, especially prior to starting the process monitoring. Using Monte Carlo simulation we evaluate charts' performance under an unconditional perspective and provide guidelines for their use in practice. We examine both the in-control and the out-of-control performance.

翻译：近年来，零膨胀过程控制图引起了研究者的广泛关注。本文研究了参数估计情形下，针对零膨胀泊松过程与零膨胀二项过程的休哈特型控制图的性能表现。该情形常见于实际应用，尤其在过程监控启动之前。通过蒙特卡洛模拟，我们从无条件视角评估了控制图的性能，并为其实际应用提供了指导准则。我们同时考察了受控状态与失控状态下的性能表现。