Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999a%26a...341..693q&link_type=abstract
Astronomy and Astrophysics, v.341, p.693-696 (1999)
Astronomy and Astrophysics
Astrophysics
4
Methods: Statistical, Galaxies: Luminosity Function, Galaxies: Quasars: General, Cosmology: Observations
Scientific paper
A new statistic o/omax is introduced in this paper. If the proposed luminosity function correctly describes the distribution of the adopted sample, then the values of o/o_{max } would be uniformly distributed in the interval [0,1]. We find that the o/o_{max } test of the luminosity function is a necessary one, and the o/o_{max } test is independent of the n/nmax test which is a revision of the famous V/Vmax test, presented in our previous work (Qin & Xie 1997). It is proved that two given distributions of o/o_{max } and n/n_{max } correspond to a unique normalized luminosity function. The distributions of o/o_{max } and n/n_{max } therefore provide a sufficient test for any adopted forms of the luminosity function. As a demonstration, we present a simple application of the method to a luminosity function and a sample found in the literature.
Qin Yi-Ping
Xie G.-Zh.
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