Inferring the binary black hole population redshift distribution

In the past years LIGO-VIRGO has detected five binary black hole mergers; in the universe, there are one hundred thousand binary black hole mergers a year which creates motivation to investigate populations of black holes. New searches are currently being designed to detect the signature of the gravitational wave background of all the distant binary black hole mergers. I will describe the process of how we apply statistical inference to describe the astrophysical parameters of this background. My focus will be on inferring the redshift distribution of the population of black holes which has implications in star formation and primordial black holes.