The calibration problem. V - Numerical tests using synthetic parallaxes

Statistics – Computation

Scientific paper

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Computational Astrophysics, Stellar Luminosity, Stellar Parallax, Calibrating, Distance, Maximum Likelihood Estimates, Stellar Magnitude

Scientific paper

Synthetic data are used to test methods for combining trigonometric and photometric parallaxes, selecting stars within a specified volume, and calibrating mean absolute magnitudes using trigonometric parallaxes. Negative trigonometric parallaxes do not present a problem for these methods. The maximum-likelihood method derived earlier to estimate the absolute magnitude and dispersion for a homogeneous group of stars from their trigonometric parallaxes is (after correction of a normalization error) shown to be superior to Lutz's (1983) method.

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