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We report the distribution of black hole (BH) masses and Eddingont ratiosestimated for a sample of 131 low luminosity quasars in the early cosmic epoch($5.6 < z < 7.0$). Our work is based on Subaru High-$z$ Exploration ofLow-Luminosity Quasars (SHELLQs) project, which has constructed a lowluminosity quasar sample down to $M_{1450} \sim - 21$ mag, exploiting thesurvey data of Hyper Suprime-Cam installed on Subaru Telescope. The discoveryspectra of these quasars are limited to the rest-frame wavelengths of $\sim$1200 -- 1400 \AA, which contains no emission lines that can be used as BH massestimators. In order to overcome this problem, we made use of low-$z$counterpart spectra from the Sloan Digital Sky Survey, which are spectrallymatched to the high-$z$ spectra in overlapping wavelengths. We then combinedthe C~{\sc iv} emission line widths of the counterparts with the continuumluminosity from the SHELLQs data to estimate BH masses. The resulting BH massdistribution has a range of $\sim 10^{7-10} M_{\odot}$, with most of thequasars having BH masses $\sim 10^{8} M_{\odot}$ with sub-Eddington accretion.The present study provides not only a new insight into normal quasars in thereionization epoch, but also a new promising way to estimate BH masses ofhigh-$z$ quasars without near-infrared spectroscopy.

Subaru High-$z$ Exploration of Low-luminosity Quasars (SHELLQs). XVII.  Black Hole Mass Distribution at $z \sim 6$ Estimated via Spectral Comparison  with Low-$z$ Quasars