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The continuous histogram shows the distribution of NVSS peak flux densities for the magnitude-limited sample of 2471 SDSS QSOs brighter than mr = +18.5 in the redshift range 1.8 < z < 2.5. The dotted histogram (colored blue in the online version) indicates the distribution of NVSS peak flux densities at "blank sky" positions one degree north of the QSOs, and it is well fit by a Gaussian of mean 〈Sp〉 = −0.014 ± 0.009 mJy beam−1 and rms σ = 0.459 ± 0.009 mJy beam−1 (dotted curve, colored blue in the online version). The dashed curve (colored green in the online version) is the distribution predicted by extrapolating the flux-density distribution of NVSS sources powered primarily by AGNs to lower luminosities, and the continuous black curve represents the distribution predicted by our best-fit model extremely luminous star-forming host galaxies may contribute significantly to the radio emission of high-redshift QSOs.

The continuous histogram shows the distribution of NVSS peak flux densities for the magnitude-limited sample of 2471 SDSS QSOs brighter than mr = +18.5 in the redshift range 1.8 < z < 2.5. The dotted histogram (colored blue in the online version) indicates the distribution of NVSS peak flux densities at "blank sky" positions one degree north of the QSOs, and it is well fit by a Gaussian of mean 〈Sp〉 = −0.014 ± 0.009 mJy beam−1 and rms σ = 0.459 ± 0.009 mJy beam−1 (dotted curve, colored blue in the online version). The dashed curve (colored green in the online version) is the distribution predicted by extrapolating the flux-density distribution of NVSS sources powered primarily by AGNs to lower luminosities, and the continuous black curve represents the distribution predicted by our best-fit model extremely luminous star-forming host galaxies may contribute significantly to the radio emission of high-redshift QSOs.

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We used the 1.4 GHz NVSS to study radio sources in two color-selected QSO samples: a volume-limited sample of 1313 QSOs defined by M i < –23 in the redshift range 0.2 < z < 0.45 and a magnitude-limited sample of 2471 QSOs with m r ≤ 18.5 and 1.8 < z < 2.5. About 10% were detected above the 2.4 mJy NVSS catalog limit and are powered primarily by act...

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... Other authors (e.g. Mahony et al. 2012 ;Condon et al. 2013 ;Zwart et al. 2015 ) point out several limitations of stacking such as the Figure 6. The distributions of the flux density S ν, peak (top) and 5 GHz rest frame luminosity L ν, 5 GHz (middle row) computed from our 1-2 GHz continuum images at the optical positions of the z > 6 quasars. ...
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