IGM Neutral Fraction Inference

For each galaxy, we incorporate either the Lyman-{alpha} equivalent width (EW) for detections or the EW limit spectrum for nondetections to parameterize the EW distribution at various ultraviolet brightnesses for a given redshift.

Using our reference sample of galaxy candidates from the ionized universe at z~6.0, we are able to infer {bar}x_hi_ at two redshifts: z~6.7 and z~7.6. This work includes intrinsically faint, gravitationally lensed galaxies at z~6.0 in order to constrain the intrinsic faint-end Ly{alpha} EW distribution and provide a comparable population of galaxies to counterparts in our sample that are at higher redshift. The inclusion of faint galaxy candidates, in addition to a more sophisticated modelling framework, allows us to better isolate effects of the interstellar medium and circumgalactic medium on the observed Lyman-{alpha} distribution from those of the IGM.