The Most Metal-Poor Stars. III. The Metallicity Distribution Function   and CEMP Fraction
  We examine the metallicity distribution function (MDF) and fraction of carbon-enhanced metal-poor (CEMP) stars in a sample that includes 86 stars with [Fe/H] < -3.0, based on high-resolution, high-S/N spectroscopy, of which some 32 objects lie below [Fe/H] = -3.5. After accounting for the completeness function, the "corrected" MDF does not exhibit the sudden drop at [Fe/H] = -3.6 that was found in recent samples of dwarfs and giants from the Hamburg/ESO survey. Rather, the MDF decreases smoothly down to [Fe/H] = -4.1. Similar results are obtained from the "raw" MDF. We find the fraction of CEMP objects below [Fe/H] = -3.0 is 23 +/- 6% and 32 +/- 8% when adopting the Beers et al. and Aoki et al. CEMP definitions, respectively. The former value is in fair agreement with some previous measurements, which adopt the Beers et al. criterion. 
David Yong, John E. Norris, M. S. Bessell, N. Christlieb, M. Asplund,   Timothy C. Beers, P. S. Barklem, Anna Frebel, S. G. Ryan
astro-ph.GA