Statistical process control; integer-valued time series; ARL0; ARL1
In this work we propose to evaluate the performance and apply the EWMA control chart in the first-order mixed autoregressive model with Poisson innovations, called POMINAR(1), mixing two operators known as thinning binomial and thinning Poisson. For this, the EWMA control chart, its upper and lower control limits are difined to analyze its performance, expectation and variance of this statistic. Finally, an analysis will be made comparing results obtained from a simulation using the EWMA control chart with results obtained using the Shewhart control chart.