  High-frequency-peaked BL Lacs (HBLs) dominate the extragalactic TeV sky, with
more than 50 objects detected by the current generation of TeV observatories.
Still, the properties of TeV-emitting HBLs as a population are poorly
understood due to biases introduced by the observing strategies of Cherenkov
Telescopes, limiting our ability to estimate the potential contribution of TeV
blazars to the diffuse neutrino, gamma-ray, and cosmic-ray background as well
as their role in the late-stage evolution of active galactic nuclei. The
VERITAS telescope array has designed a program to quantify and minimize
observational biases by selecting a sample of 36 HBLs and measuring their TeV
flux at times that are not weighted towards high-flux states. Such a survey
could form the basis for a measurement of the luminosity function of
TeV-emitting HBLs.
