Statistical Analysis of the Lateral Distribution Function for the AERAlet array of the Pierre Auger Observatory

We present the statistical analysis of the Lateral Distribution Fuction (LDF) of air showers created by cosmic rays, for the AERAlet array of the Pierre Auger Observatory. To model the LDF of the AERAlet array, we propose the use of a normalised NKG-function, which has previously been applied to both the Regular and the Infill arrays of the observatory. By linearizing this model and iterating a minimum variance unbiased estimator fitting routine, a fit with χν = 0.8 can be obtained. A simple least squares fit of the model to the collected signals yields a similar result, though with a deviating set of parameters. This multiplicity gives rise to a systematic uncertainty in the parameterisation of 0.14 VEM, providing an upper limit on the accuracy of the obtained parameterisation. An anti-bias cut was determined in the analysis at logS250 = 1.46 and applied to data, eliminating a bias resulting from limited detector efficiency at low energies.