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Paper: Advanced Methods for Determination of Arguments of Characteristic Events
Volume: 335, The Light-Time Effect in Astrophysics: Causes and Cures of the O - C diagram
Page: 37
Authors: Andronov, I.L.
Abstract: Some methods for determination of the smoothing function and the timings of characteristic events are comparatively studied. They may be separated into two different groups: those related to aperiodic signals and those related to periodic or nearly-periodic signals. Various shapes of the signal are discussed. Criteria for determination of the statistically optimal degree of mathematical model for "global" fits, as well as of the optimal filter half-width for the wavelet-like "local" fits are reviewed. They are illustrated on polynomial, spline of constant and variable degree, trigonometric polynomials and "hyperbolic cosecant"-like models. The methods are applied to the outburst of the cataclysmic binary system GK Per.
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