Measures of location and scale for velocities in clusters of galaxies - A robust approach

Details Measures of location and scale for velocities in clusters of galaxies - A robust approach Measures of location and scale for velocities in clusters of galaxies - A robust approach

Jul 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990aj....100...32b&link_type=abstract

Astronomical Journal (ISSN 0004-6256), vol. 100, July 1990, p. 32-46.

Mathematics

725

Galactic Clusters, Position (Location), Radial Velocity, Robustness (Mathematics), Astronomical Coordinates, Normal Density Functions, Velocity Distribution

Scientific paper

The novel estimators proposed for the kinematical properties of clusters of galaxies are both resistant in the presence of 'outliers' and robust for a broad range of non-Gaussian underlying populations. Extensive simulations for a number of common situations realizable in small-to-large samples of cluster radial velocities allow the identification of minimum variance estimators. Also explored is the estimation of confidence intervals, using the jacknife and bootstrap resampling techniques. These methods are compared to simple formulas based on sample estimates of central location and scale. Estimators of confidence intervals on scale require resampling.

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