Statistical Revision of the Moment Method |
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| Authors: | Joris De Ridder Geert Molenberghs Conny Aerts |
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| Institution: | (1) Institute of Astronomy, K.U. Leuven, Celestijnenlaan 200 B, B-3001 Leuven, Belgium;(2) Center for Statistics, L.U.C., Universitaire Campus, B-3590 Diepenbeek, Belgium |
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| Abstract: | The moment method is a well known technique, which uses a time series ofthe first 3 moments of a spectral line, to estimate the (discrete) modeparameters  and m. The method, contrary to Doppler imaging,also yields other interesting(real-valued) parameters such as the inclination angle i, or v sin i,during its identification procedure.In this paper, we are not only interested in the estimation of thesereal-valued parameters themselves but also inreliable estimates for their uncertainty.We designed a statistical formalism for the moment method based on theso-called generalized estimating equations (GEE). This formalismaims to estimate the uncertainty of the real-valued parameters taking intoaccount that the different moments of a line profile are correlated and –more importantly – that the uncertainty of the observed moments depends onthe pulsation parameters. The latter property of the moment method makesthe least-squares technique a poor choice to estimate the uncertainty ofthe real-valued parameters. We implemented the GEE method and presentan application to a high-resolution spectroscopic dataset of the slowly pulsating B star HD181558. |
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| Keywords: | Mode identification moment method slowly pulsating B star |
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