title: Representation of time-dependent correlation and recurrence time functions. A new method to analyse non-stationary point processes.
abstract: Correlation functions based on time averaging are not suited to study non-stationary point processes (e.g. the electric organ discharge activity of weakly-electric pulse fish). To overcome this problem, we present here a time-dependent correlation method, which can also be applied to study complicated correlations of moderately non-stationary point processes (e.g. neuronal spike trains). Indication of recurrence time aspects of the point processes provides a more complete representation of the correlation functions. In addition higher order correlations between two point processes are represented.
mesh_terms: D000818:Animals; D004555:Electric Fish; D004557:Electric Organ / Q000502:physiology; D008433:Mathematics; D008636:Mesencephalon / Q000502:physiology; D008954:Models, Biological; D008959:Models, Neurological; D009474:Neurons / Q000502:physiology; D011896:Rana temporaria; D013997:Time Factors