Monitoring of functional profiles combining the notion of Fr\'echet mean and the framework of deformation models with application in ambient air pollution surveillance. (arXiv:2010.02968v2 [stat.ME] UPDATED)

A framework suitable for monitoring functional profiles combining the notion
of Fr\'echet mean and the concept of deformation models is developed and
proposed. The generalized sense of mean that the notion of the Fr\'echet mean
offers is employed to capture the typical functional shape of the data, while
the concept of deformation models allows for interpretable parameterizations of
profile's deviations from the typical shape. Functional EWMA-type control
charts are built and proposed based on shape characteristics of the functional
data, …

ambient application arxiv framework mean monitoring pollution profiles surveillance