  We present the statistical redshift distribution of a large sample of low
surface brightness (LSB) galaxies identified in the first 200 deg$^2$ of the
Hyper Suprime-Cam Strategic Survey Program. Through cross-correlation with the
NASA-SDSS Atlas, we find that the majority of objects lie within z<0.15 or ~
500 Mpc, yielding a mass range of $M_*$ ~ $10^7-10^9$ M_sun and size range of
$r_{\rm{eff,g}}$ ~ 1-8 kpc. We find a peak in the distance distribution within
100 Mpc, corresponding mostly to ~ $10^7$ M_sun galaxies that fall on the known
mass-size relation. There is also a tail in the redshift distribution out to
z~0.15, comprising more massive ($M_*=10^8-10^9$ M_sun) galaxies at the larger
end of our size range. We see tentative evidence that at the higher-mass end
($M_* > 10^8$ M_sun) the LSB galaxies do not form a smooth extension of the
mass-size relation of higher surface brightness galaxies, perhaps suggesting
that the LSB galaxy population is distinct in its formation path.
