Computing the Period of Light Variability in Blazar Objects 3C 279 and OJ 287 by Auto-regressive Spectral Analysis Methods

Statistics – Applications

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Bl Lac Objects: Individual, Quasars: Individual, Galaxies: Fundamental Parameters, Methods: Analytical

Scientific paper

The periodicity analysis of Blazars' light curves needs improvement. It is believed that variability is one of the defining characteristics of Blazars. Due to the complication of Blazars' light curves, the present periodicity analysis methods are not perfect. Power spectrum analysis is available if the underlying variability process is stationary, which means that the process does not change with time in statistics. Classical spectral analysis methods are unsatisfactory to solve the problem. Based on modern spectral estimation, the principle of maximum entropy estimation and Auto-regressive(AR) spectral estimation are discussed. We mainly analyze the effect of the order selection on models. Therefore, the programme applying maximum entropy estimation and AR spectral estimation to deal with the period of quasar 3C 279 and BL Lac Object OJ 287 is presented. Their derived periods of 3C 279 and OJ 287 are 7.14 and 11.76 yr, respectively. Validated by the experiments, the AR model spectrum estimation method is a good way to compute the period of light variability. At the end of this paper, we point out what should be paid attention to in the applications.

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