On measuring low-degree p-mode frequency splitting with full-disc integrated data

Details On measuring low-degree p-mode frequency splitting with full-disc integrated data On measuring low-degree p-mode frequency splitting with full-disc integrated data

Dec 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000mnras.319..365a&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Volume 319, Issue 2, pp. 365-376.

Astronomy and Astrophysics

Astronomy

17

Methods: Data Analysis, Sun: Oscillations

Scientific paper

The standard method of measuring rotational splitting from solar full-disc oscillation data, based on maximum-likelihood fitting of multi-Lorentzian profiles to oscillation power spectra, systematically overestimates the splitting. One of the reasons is that the maximum likelihood estimators (MLE) become unbiased only asymptotically as the number of data tends to infinity; for a finite data set they are often biased, inducing a systematic error. In this paper we assess by Monte Carlo simulations the amount of systematic error in the splitting measurement, using artificially generated power spectra. The simulations are carried out for multiplets of degree S(t) = ΣkSk(t), l=1, 2 and 3 with various signal-to-noise ratios, linewidths and observing times. We address the possible use of non-MLE estimators that could provide a smaller or negligible systematic error. The implication for asteroseismology is also discussed.

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