A maximum likelihood analysis of globular cluster luminosity distributions in the Virgo ellipticals

Statistics – Methodology

Scientific paper

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Astronomical Models, Brightness Distribution, Elliptical Galaxies, Globular Clusters, Maximum Likelihood Estimates, Virgo Galactic Cluster, Astronomical Photometry, Distance, Milky Way Galaxy, Stellar Luminosity

Scientific paper

An improved methodology based on a fuller use of maximum likelihood fitting is formulated here in order to determine the intrinsic parameters describing the globular cluster luminosity function (GCLF). The techniques are applied to globular cluster systems around three of the Virgo giant elliptical galaxies. Improved definitions of the GCLF parameter are obtained as well as better definitions of their fundamental uncertainties. A revised comparison on the Virgo GCLF samples with those of M31 and the Milky Way are presented along with their application to the distance scale.

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