In this talk,we investigate the problem of monitoring independent large-scale data streams where an undesired event may occur at some unknown time and affect only a few unknown data streams.
In repairable system data analysis it is common to many components of the same type are studied and in these cases it is relevant to verify the heterogeneity between systems.
To study the relation between a univariate response and multiple functional covariates,we propose a functional single index model that is semiparametric.