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Biometrika 1966 53(3-4):383-389; doi:10.1093/biomet/53.3-4.383
© 1966 by Biometrika Trust
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The superposition of random sequences of events

M. TEN HOOPEN and H. A. REUVER

Institute of Medical Physics TNO Utrecht

N stationary, ergodic and independent sequences of events are considered. The interval probability density function and the expectation density function of the pooled sequence are expressed in terms of the interval probability density function and the expectation density function of the individual sequences. The cases of two pooled sequences is treated in detail and applied to data on thalamic neuron discharge patterns. It is shown that the pooled sequence approaches a Poisson process in N tends to infinity.


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