Nonparametric Estimation of Stellar Density Profiles

Details Nonparametric Estimation of Stellar Density Profiles Nonparametric Estimation of Stellar Density Profiles

Dec 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993aas...183.7402m&link_type=abstract

American Astronomical Society, 183rd AAS Meeting, #74.02; Bulletin of the American Astronomical Society, Vol. 25, p.1406

Astronomy and Astrophysics

Astronomy

Scientific paper

A standard problem in the study of star clusters and galaxies is estimation of a number density profile nu (r) given measured positions, on the plane of the sky, of a large set of objects. The most common approach to this problem is a parametric one: the number counts are binned in projected position and fit to some ad hoc function Sigma (R;theta ), where the theta are a set of parameters that are varied to achieve the optimum fit. Here we adapt some existing nonparametric techniques to the problem of estimating Sigma (R) and nu (r) from discrete samples. The algorithms require no binning and are able to cope with the amplification of errors associated with Abel deconvolution. We apply the algorithms to the determination of the density profiles of the globular cluster M15, and the Coma galaxy cluster.

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