InterEventTimeVerteilungen
InterEventTimeVerteilungen refer to the statistical distributions of waiting times between consecutive events in a temporal sequence. Given event times t1, t2, ..., the inter-event times are Δt_i = t_{i+1} - t_i. The distribution of Δt_i describes the temporal dynamics of the underlying process and is studied across domains such as human communication, neuronal activity, seismology, finance, and network traffic.
In the simplest case, a homogeneous Poisson process, Δt_i follow an exponential distribution with rate λ, implying
Non-stationary and dependent models capture more complex behavior. A non-homogeneous Poisson process has a time-varying rate
Estimation and model selection typically proceed from observed event times. One computes Δt from data, fits
Applications include modeling user activity on online platforms, communication patterns, neural spike trains, earthquake sequences, and