Astronomical applications of distribution shape estimators

Mathematics – Probability

Scientific paper

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Estimating, Galactic Clusters, Kurtosis, Skewness, Velocity Distribution, Astronomical Catalogs, Asymmetry, Evolution (Development), Probability Density Functions

Scientific paper

We present alternative measures to the classical coefficients of
skewness and kurtosis, called the asymmetry and tail indices, for
comparing the shapes of one-dimensional velocity distributions. We then
apply these estimators to the Dressler and Shectman catalogs of clusters
of galaxies to compare the dynamical evolution of these systems.

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