Nonparametric statistics of the quasar Hubble diagrams

Astronomy and Astrophysics – Astronomy

Scientific paper

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Galactic Radiation, Hubble Diagram, Quasars, Radio Sources (Astronomy), Statistical Analysis, Cosmology, Galactic Evolution, Light Emission, Luminous Intensity, Optical Density, Radiant Flux Density, Red Shift

Scientific paper

Nonparametric statistical methods are used to derive information on the quasar distance-redshift relation and the joint optical-radio quasar luminosity function (LF) from the optical and radio Hubble diagrams for a sample of 119 quasars identified in three optical surveys of 3CR and 4C radio-source fields. It is found that the radio Hubble diagram appears to be consistent with an arbitrary distance-redshift relation, suggesting that no characteristic luminosity is associated with the radio LF, and that the optical Hubble diagram is consistent with three possibilities: (1) the value of the deceleration parameter (q) lies in the 95% confidence interval from 2 to 32 with a most probable value of 5; (2) the true value of q is no more than unity and is being masked by optical luminosity evolution; or (3) the optical data are a low-probability statistical fluke. The optical and radio LFs are calculated for q = 0.05, and explicit numerical estimates of the density evolution are also obtained for q = 0.05.

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