Recovering velocity distributions via penalized likelihood

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Title: Recovering velocity distributions via penalized likelihood
Author: Merritt, David
Abstract: Line-of-sight velocity distributions are crucial for unravelling the dynamics of hot stellar systems. We present a new formalism based on penalized likelihood for deriving such distributions from kinematical data, and evaluate the performance of two algorithms that extract N(V ) from absorption-line spectra and from sets of individual velocities. Both algorithms are superior to existing ones in that the solutions are nearly unbiased even when the data are so poor that a great deal of smoothing is required. In addition, the discrete-velocity algorithm is able to remove a known distribution of measurement errors from the estimate of N(V ). The formalism is used to recover the velocity distribution of stars in five fields near the center of the globular cluster ω [omega] Centauri. (Refer to PDF file for exact formulas).
Description: Also archived in: arXiv:astro-ph/9605075 v1 14 May 1996 AND Rutgers Astrophysics Preprint Series No. 191
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Date: 1997-07

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