A test of some luminosity functions of quasars

Statistics

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Methods: Statistical, Galaxies: Luminosity Function, Mass Function, Galaxies: Quasars: General, Galaxies: Statistics, Cosmology: Observation)

Scientific paper

The n/nmax test from our previous work is applied to some luminosity functions of quasars. The CFHT and AAT samples are employed. For a subsample of AAT, all the luminosity functions except one pass the n/nmax test, while for two subsamples of CFHT, none of them passes the test. It shows that, if the luminosity functions adopted are correct in the concerned redshift and magnitude ranges, the CFHT sample must be incomplete while the AAT is complete to z=2.2. From the study we find that the n/nmax test is useful for testing the correctness of luminosity functions, and hence useful for testing the correctness of theoretical models of quasars, as long as complete samples are available. It is also useful for testing the completeness of samples if the true luminosity function has been known.

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