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Astron. Astrophys. 339, 15-18 (1998)

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A test of some luminosity functions of quasars

Yi-Ping Qin 1, G.Z. Xie 1 and Xue-Tang Zheng 2

1 Yunnan Observatory, The Chinese Academy of Sciences, Kunming, Yunnan 650011, P.R. China
2 Department of Physics, Nanjing University of Science and Technology, Nanjing, Jiangsu 210014, P.R. China

Received 11 August 1997 / Accepted 4 June 1998


The [FORMULA] 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 [FORMULA] 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 [FORMULA]. From the study we find that the [FORMULA] 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.

Key words: methods: statistical – galaxies: luminosity function, mass function – galaxies: quasars: general – galaxies: statistics – cosmology: observation)

Send offprint requests to: Yi-Ping Qin

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© European Southern Observatory (ESO) 1998

Online publication: September 30, 1998