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The simulations of extensive air showers as well as the detectors involved intheir detection play a fundamental role in the study of the high energy cosmicrays. At the highest energies the detailed simulation of air showers is verycostly in processing time and disk space due to the large number of secondaryparticles generated in interactions with the atmosphere, e.g. $\sim 10^{11}$for $10^{20}$ eV proton shower. Therefore, in order to increase the statistics,it is quite common to recycle single showers many times to simulate thedetector response. In this work we present a detailed study of the artificialeffects introduced by the multiple use of single air showers for the detectorsimulations. In particular, we study the effects introduced by the repetitionsin the kernel density estimators which are frequently used in compositionstudies.

On the statistical effects of multiple reusing of simulated air showers in detector simulations