A Generalization of the V/V max Test

Details A Generalization of the V/V max Test A Generalization of the V/V max Test

Sep 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997apj...486..100q&link_type=abstract

Astrophysical Journal v.486, p.100

Astronomy and Astrophysics

Astronomy

7

Cosmology: Observations, Galaxies: Luminosity Function, Mass Function, Galaxies: Quasars: General

Scientific paper

The formal V/Vmax test is generalized to any kind of object distribution. This task is realized by introducing a new statistic, n/nmax, which takes into account the luminosity function of the objects. Our analysis shows that the values of n/nmax are uniformly distributed in the interval [0, 1] and the expectation value of is \frac {1}{2} in any kind of distribution of the objects if the luminosity function adopted is correct. Besides the test, we suggest another analysis which could test the uniformity of the distribution of the values of n/nmax. These two kinds of test provide a strict constraint on the selection of luminosity functions.

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