W. Plastino¹ , S. Bianchi¹ , A. Longo¹

¹Roma Tre University, Department of Mathematics and Physics, Rome, Italy

Abstract:

A new methodological approach based on time series analysis for event screening categorization of beryllium and xenon background and outliers was tested. After the time series was detrended, the Lomb-Scargle spectrum can be computed for frequency domain analysis. Then, all frequencies were characterized by a notch filter for P(ω) higher than a threshold, and reducing the time series to noise residuals. The autocorrelation of the residuals was first computed, in order to test if they can be considered random or not. The Detrended Fluctuations Analysis was applied to noise residuals, and then for characterizing the statistical distributions, two goodness of fit tests were considered: Kolmogorov-Smirnov and Anderson-Darling. The mean and variance of noise residuals were computed for the normalisation and outliers detection. Finally, a noise analysis was performed to test that these outliers were not likely due to the particular noise configuration (white, pink, red). This new methodological approach was tested on beryllium, xenon, and meteoroogical data from IMS stations for period of more than 11-years.