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Title: | Statistical revision of the moment method | Authors: | De Ridder, Joris MOLENBERGHS, Geert AERTS, Conny |
Issue Date: | 2003 | Publisher: | KLUWER ACADEMIC PUBL | Source: | ASTROPHYSICS AND SPACE SCIENCE, 284(1). p. 125-128 | Abstract: | The moment method is a well known technique, which uses a time series of the first 3 moments of a spectral line, to estimate the (discrete) mode parameters l 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 these real-valued parameters themselves but also in reliable estimates for their uncertainty. We designed a statistical formalism for the moment method based on the so-called generalized estimating equations (GEE). This formalism aims to estimate the uncertainty of the real-valued parameters taking into account that the different moments of a line profile are correlated and - more importantly - that the uncertainty of the observed moments depends on the pulsation parameters. The latter property of the moment method makes the least-squares technique a poor choice to estimate the uncertainty of the real-valued parameters. We implemented the GEE method and present an application to a high-resolution spectroscopic dataset of the slowly pulsating B star HD181558. | Notes: | Katholieke Univ Leuven, Inst Astron, B-3001 Louvain, Belgium. Limburgs Univ Ctr, Ctr Stat, B-3590 Diepenbeek, Belgium.De Ridder, J, Katholieke Univ Leuven, Inst Astron, Celestijnenlaan 200 B, B-3001 Louvain, Belgium. | Keywords: | mode identification; moment method; slowly pulsating B star;mode identification; moment method; slowly pulsating B star | Document URI: | http://hdl.handle.net/1942/2546 | ISSN: | 0004-640X | e-ISSN: | 1572-946X | DOI: | 10.1023/A:1023210812440 | ISI #: | 000182071400017 | Rights: | © Kluwer Academic Publishers 2003 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2004 |
Appears in Collections: | Research publications |
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