  To understand the origin of bursty dynamics in natural and social processes
we provide a general analysis framework, in which the temporal process is
decomposed into sub-processes and then the bursts in sub-processes, called
contextual bursts, are combined to collective bursts in the original process.
For the combination of sub-processes, it is required to consider the
distribution of different contexts over the original process. Based on minimal
assumptions for inter-event time statistics, we present a theoretical analysis
for the relationship between contextual and collective inter-event time
distributions. Our analysis framework helps to exploit contextual information
available in decomposable bursty dynamics.
