Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991aj....101.1075r&link_type=abstract
Astronomical Journal (ISSN 0004-6256), vol. 101, March 1991, p. 1075-1088.
Astronomy and Astrophysics
Astronomy
22
Astronomical Spectroscopy, Stellar Magnitude, Stellar Parallax, Astronomical Photometry, Dwarf Stars, K Stars, M Stars, Maximum Likelihood Estimates
Scientific paper
A new numerical algorithm is used to calibrate the absolute magnitude of spectroscopically selected stars from their observed trigonometric parallax. This procedure, based on maximum-likelihood estimation, can retrieve unbiased estimates of the intrinsic absolute magnitude and its dispersion even from incomplete samples suffering from selection biases in apparent magnitude and color. It can also make full use of low accuracy and negative parallaxes and incorporate censorship on reported parallax values. Accurate error estimates are derived for each of the fitted parameters. The algorithm allows an a posteriori check of whether the fitted model gives a good representation of the observations. The procedure is described in general and applied to both real and simulated data.
Casertano Stefano
Ratnatunga Kavan U.
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