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We present mass functions of distant actively accreting supermassive blackholes residing in luminous quasars discovered in the Large Bright QuasarSurvey, the Bright Quasar Survey, and the Fall Equatorial Stripe of the SloanDigital Sky Survey (SDSS). The quasars cover a wide range of redshifts (0 <~ z<= 5) and were subject to different selection criteria and flux density limits.These samples are thus complementary and can help us gain additional insight onthe true underlying black hole mass distribution, free from selection effectsand mass estimation errors through future studies. We see evidence that theactive z~4 black hole population is somewhat different than that at lower z. Inparticular, there is a sharp increase in the space density of the detectedactive black holes (M_BH >~ 10^8 Msun) between redshifts ~4 and ~2.5. Also, thez~4 SDSS quasar mass function has a somewhat flatter high mass-end slope, beta= -1.75 +- 0.56, compared to the mass functions based on quasars below z of 3,which display typical slopes of beta =~ -3.3; the latter are consistent withthe mass functions at similar redshifts based on the SDSS Data Release 3 quasarcatalog presented by Vestergaard et al. We see clear evidence of cosmicdownsizing in the comoving space density distribution of active black holes inthe LBQS sample alone. In forthcoming papers, further analysis, comparison, anddiscussion of these mass functions will be made with other existing black holemass functions, notably that based on the SDSS DR3 quasar catalog. We presentthe relationships used to estimate the black hole mass based on the MgIIemission line; the relations are calibrated to the Hbeta and CIV relations bymeans of several thousand high quality SDSS spectra. Mass estimates of theindividual black holes of these samples are also presented.

astrophysical journal/the astrophysical journal

Mass Functions of the Active Black Holes in Distant Quasars from the  Large Bright Quasar Survey, the Bright Quasar Survey, and the Color-Selected  Sample of the SDSS Fall Equatorial Stripe