Extreme value charts and analysis of means based on Dagum distribution

Abstract

The probability model of a quality characteristic is assumed as a Dagum distribution. Variable control charts based on the extreme values of each subgroup are constructed. The control chart constants depend on the probability model of the extreme order statistics of each subgroup and the size of the subgroup. Accordingly, the proposed chart is known as extreme value chart. The technique of analysis of means for a skewed population is applied with respect to Dagum distribution. The results are illustrated by examples on live data.