The effect of variability on the V/V-max test

Details The effect of variability on the V/V-max test The effect of variability on the V/V-max test

Sep 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980apj...240..377b&link_type=abstract

Astrophysical Journal, Part 1, vol. 240, Sept. 1, 1980, p. 377-383. Research supported by the U.S.-Israel Binational Science Fo

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3

Cosmology, Quasars, Stellar Radiation, Variability, Astronomical Photometry, Bias, Stellar Luminosity, X Rays

Scientific paper

Knowledge of the distribution of quasars in space has been obtained primarily from applications of the V/V-max test to complete flux-limited samples of sources. The intrinsic luminosities of many quasars are variable. Other objects, such as X-ray or gamma-ray sources, for which one might wish to use the V/V-max test are also variable. However, previous formulations of the V/V-max test have not included the effects of variations. We generalize the V/V-max test to include explicitly the effects of variability and estimate the biases that can be introduced by the treatment of luminosity variations. Random photometric observations have the same effects on the expected value of V/V-max as do luminosity variations and are therefore included in the discussion. We distinguish between archival identifications (made on previously existing photographs) and contemporaneous identifications (made at the same time as the basic flux measurements are carried out). For contemporaneous identifications, the effects of flux variability and broad luminosity function can be avoided entirely by the use of density-weighted volumes that are corrected for source evolution.

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