@article{Font-Clos:2015:4/043066,
author = {Font-Clos, F and Pruessner, G and Moloney, NR and Deluca, A},
doi = {4/043066},
journal = {New Journal of Physics},
title = {The perils of thresholding},
url = {http://dx.doi.org/10.1088/1367-2630/17/4/043066},
volume = {17},
year = {2015}
}

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TY  - JOUR
AB  - The thresholding of time series of activity or intensity is frequently used to define and differentiateevents. This is either implicit, for example due to resolution limits, or explicit, in order to filter certainsmall scale physics from the supposed true asymptotic events. Thresholding the birth–death process,however, introduces a scaling region into the event size distribution, which is characterized by anexponent that is unrelated to the actual asymptote and is rather an artefact of thresholding. As a result,numerical fits of simulation data produce a range of exponents, with the true asymptote visible only inthe tail of the distribution. This tail is increasingly difficult to sample as the threshold is increased. Inthe present case, the exponents and the spurious nature of the scaling region can be determinedanalytically, thus demonstrating the way in which thresholding conceals the true asymptote. Theanalysis also suggests a procedure for detecting the influence of the threshold by means of a datacollapse involving the threshold-imposed scale.
AU  - Font-Clos,F
AU  - Pruessner,G
AU  - Moloney,NR
AU  - Deluca,A
DO  - 4/043066
PY  - 2015///
SN  - 1367-2630
TI  - The perils of thresholding
T2  - New Journal of Physics
UR  - http://dx.doi.org/10.1088/1367-2630/17/4/043066
UR  - http://hdl.handle.net/10044/1/24885
VL  - 17
ER  - 

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