Non-parametric elimination of the observational magnitude cutoff bias

Details Non-parametric elimination of the observational magnitude cutoff bias Non-parametric elimination of the observational magnitude cutoff bias

Feb 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980a%26a....82l...3n&link_type=abstract

Astronomy and Astrophysics, vol. 82, no. 3, Feb. 1980, p. L3-L6. Research supported by the Massachusetts Institute of Technology

Astronomy and Astrophysics

Astrophysics

18

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

Scientific paper

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 maximum-likelihood. 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.

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