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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/2060

Title: Estimating stellar-oscillation-related parameters and their uncertainties with the moment method
Authors: De Ridder, Joris
Molenberghs, Geert
Aerts, Conny
Issue Date: 2005
Publisher: BLACKWELL PUBL LTD
Citation: JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS, 54. p. 333-348
Abstract: The moment method is a well-known astronomical mode identification technique in asteroseismology which uses a time series of the first three moments of a spectral line to estimate the discrete oscillation mode parameters l and m. The method, in contrast with many other mode identification techniques, also provides estimates of other important continuous parameters such as the inclination angle a and the rotational velocity v(c). We developed a statistical formalism for the moment method based on so-called generalized estimating equations. This formalism allows an estimation of the uncertainty of the continuous parameters, taking into account that the different moments of a line profile are correlated and that the uncertainty of the observed moments also depends on the model parameters. Furthermore, we set up a procedure to take into account the mode uncertainty, i.e. the fact that often several modes (l, m) can adequately describe the data. We also introduce a new lack-of-fit function which works at least as well as a previous discriminant function, and which in addition allows us to identify the sign of the azimuthal order m. We applied our method to star HD181558 by using several numerical methods, from which we learned that numerically solving the estimating equations is an intensive task. We report on the numerical results, from which we gain insight in the statistical uncertainties of the physical parameters that are involved in the moment method.
Notes: Katholieke Univ Leuven, Inst Astron, B-3001 Louvain, Belgium. Limburgs Univ Ctr, Diepenbeek, Belgium.De Ridder, J, Katholieke Univ Leuven, Inst Astron, Celestijnenlaan 200B, B-3001 Louvain, Belgium.joris@ster.kuleuven.ac.be
URI: http://hdl.handle.net/1942/2060
Link to publication: https://archive.org/stream/arxiv-astro-ph0510777/astro-ph0510777_djvu.txt
DOI: 10.1111/j.1467-9876.2005.00487.x
ISI #: 000227283200004
ISSN: 0035-9254
Category: A1
Type: Journal Contribution
Validation: ecoom, 2006
Appears in Collections: Research publications

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