New methodology to determine air quality in urban areas based on runs rules for functional data

Functional data appear in a multitude of industrial applications and processes. However, in many cases at present, such data continue to be studied from the conventional standpoint based on Statistical Process Control (SPC), losing the capacity of analysing different aspects over the time. In this study, the well-known runs rules for Shewhart Type Control Charts are adapted to the case of functional data. Also, in the application of this functional approach, a number of advantages over the classical one are described. Furthermore, the results of applying this new methodology are analysed to determine the air quality of urban areas from the gas emissions at different weather stations.