Direct comparison of observed magnituderedshift relations in complete galaxy samples with systematic predictions of alternative redshiftdistance laws
Abstract
The directly observed average apparent magnitude (or in one case, angular diameter) as a function of redshift in each of a number of large complete galaxy samples is compared with the predictions of hypothetical redshiftdistance power laws, as a systematic statistical question. Due account is taken of observational flux limits by an entirely objective and reproducible optimal statistical procedure, and no assumptions are made regarding the distribution of the galaxies in space. The laws considered are of the form z is proportional to r^p^, where r denotes the distance, for p = 1, 2 and 3. The comparative fits of the various redshiftdistance laws are similar in all the samples. Overall, the cubic law fits better than the linear law, but each shows substantial systematic deviations from observation. The quadratic law fits extremely well except at high redshifts in some of the samples, where no power law fits closely and the correlation of apparent magnitude with redshift is small or negative. In all cases, the luminosity function required for theoretical prediction was estimated from the sample by the nonparametric procedure ROBUST, whose intrinsic neutrality as programmed was checked by comprehensive computer simulations.
 Publication:

Monthly Notices of the Royal Astronomical Society
 Pub Date:
 March 1989
 DOI:
 10.1093/mnras/237.1.17
 Bibcode:
 1989MNRAS.237...17S
 Keywords:

 Galactic Radiation;
 Red Shift;
 Computational Astrophysics;
 Statistical Analysis;
 Stellar Luminosity;
 Stellar Magnitude;
 Stellar Models;
 Astrophysics