# Asymptotic mean stationarity and absolute continuity of point process distributions

@inproceedings{Nieuwenhuis2013AsymptoticMS, title={Asymptotic mean stationarity and absolute continuity of point process distributions}, author={Gert Nieuwenhuis}, year={2013} }

This paper relates – for point processes Φ on R – two types of asymptotic mean stationarity (AMS) properties and several absolute continuity results for the common probability measures emerging from point process theory. It is proven that Φ is AMS under the time-shifts if and only if it is AMS under the event-shifts. The consequences for the accompanying two types of ergodic theorem are considered. Furthermore, the AMS properties are equivalent or closely related to several absolute continuity… CONTINUE READING

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