Nonparametric elimination of the observational magnitude cutoff bias
Abstract
A method of estimating luminosity functions for complete galaxy or quasar samples is given which entirely eliminates the observational magnitude cutoff bias without any parametric or other a priori assumption as to the form of the luminosity function. The resulting estimated luminosity function contains all information in the sample relevant to the true luminosity function, and is maximumlikelihood. The method is readily computerized and representative results are shown. It should be emphasized that what is involved here is estimation on the basis of a prior hypothesis; the formulation or testing of such hypotheses involves additional considerations, not treated here.
 Publication:

Astronomy and Astrophysics
 Pub Date:
 February 1980
 Bibcode:
 1980A&A....82L...3N
 Keywords:

 Galactic Radiation;
 Luminosity;
 Maximum Likelihood Estimates;
 Stellar Magnitude;
 Astronomical Models;
 Astrophysics;
 Independent Variables;
 Astronomy