A MEWMA chart for a bivariate exponential distribution

Control charts as one of the most well-known statistical process control (SPC) techniques have shown to be effective in process monitoring. Most of the existing studies in the area of the time-between-event (TBE) control charts have been focused on the univariate cases. In this paper, a MEWMA chart is constructed for monitoring the mean vector of the Gumbel's bivariate exponential TBE model. The average run length profile of the proposed chart is studied using simulation. Some guidelines for setting up an optimal MEWMA chart are provided. Finally, a numerical example is given to show the effectiveness of the MEWMA chart.