Poissonian bursts in e-mail correspondence |
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Authors: | C Anteneodo R D Malmgren and D R Chialvo |
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Institution: | (1) Department of Mathematics, The College of William & Mary, Williamsburg, VA, USA; |
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Abstract: | Recent work has shown that the distribution of inter-event times for e-mail
communication exhibits a heavy tail which is statistically consistent with a
cascading Poisson process. In this work we extend this analysis to
higher-order statistics, using the Fano and Allan factors to quantify the
extent to which the empirical data are more correlated — bursty — than a
Poisson process. Our analysis demonstrates that the correlations in the
empirical data are indistinguishable from those of randomly reordered time
series, illustrating that any correlations in the data are not due to the
precise ordering of events. We further find that correlations in
synthetic time series generated from a cascading Poisson process agree quite well
with the correlations observed in the empirical data. Finally, we rescale the
empirical time series to confirm that e-mail correspondence is no more
correlated than expected from a suitably chosen Poisson process. |
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Keywords: | |
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