Monitoring mean and variability by Gini chart for skew-normal distributed data.

In order to monitor the mean and variability of a process, the Gini control charts are proposed based on the skew normally distributed random sample. By comparing the false alarm rates of current scheme with those of existing mean and dispersion control charts, it was found that the design structure of Gini chart could be enhanced in comparison to other classic schemes based on the assumption of skew normal distribution for the data. Moreover, the superiority of the Gini chart was investigated by comparing the discriminatory power curves of the skew normal distribution with some existing control charts. Simulated studies and a real data example illustrate the usefulness of the proposed approach. [ABSTRACT FROM AUTHOR]