Event-by-event measured arrival time distributions of Extensive Air Shower
(EAS) muons are affected and distorted by various interrelated effects which
originate from the time resolution of the timing detectors, from fluctuations
of the reference time and the number (multiplicity) of detected muons spanning
the arrival time distribution of the individual EAS events. The origin of these
effects is discussed, and different correction procedures, which involve
detailed simulations, are proposed and illustrated. The discussed distortions
are relevant for relatively small observation distances (R < 200 m) from the
EAS core. Their significance decreases with increasing observation distance and
increasing primary energies. Local arrival time distributions which refer to
the observed arrival time of the first local muon prove to be less sensitive to
the mass of the primary. This feature points to the necessity of arrival time
measurements with additional information on the curvature of the EAS disk.Comment: 10 pages, 6 figures, accepted for publication in Astroparticle
Physic