An application of multivariate T2 control chart for skewed distributed data

In this paper it is taken into consideration generalization of the multivariate Birnbaum-Saunders distribution that is useful in dealing with asymmetric data in various theoretical and practical problems. As an application, it is applied in an statistical quality control using multivariate Hotelling’s T² control charts for skewed populations based on weighted standard deviation. The effectiveness of the presented model is demonstrated via the ARLs by an illustrative example and a simulation study.