A new bivariate semiparametric control chart based on order statistics and concomitants

•Introduction of new bivariate semiparametric chart for detecting mean shifts.•Derivation of explicit expressions for the performance characteristics of the chart.•The FAR depends only on the dependence structure and not on the copula choice.•Comparison of the performance of the new chart to alternative existing ones.•Offer practical advice for the use of the new chart.

A bivariate semiparametric chart is introduced, which exploits order statistics and concomitants to detect potential shifts in the underlying distribution. The new chart outperforms its counterparts, especially when asymmetric limits are used.