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Representation of time-dependent correlation and recurrence time functions

A new method to analyse non-stationary point processes

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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.

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van Stokkum, I.H.M., Johannesma, P.I.M. & Eggermont, J.J. Representation of time-dependent correlation and recurrence time functions. Biol. Cybern. 55, 17–24 (1986). https://doi.org/10.1007/BF00363974

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  • DOI: https://doi.org/10.1007/BF00363974

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