Browsing by Author "Allison, James"
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Item Measuring the H I mass function below the detection threshold(Oxford University Press, 2019-10-30) Jarvis, Matt; Pan, Hengxing; Allison, JamesWe present a Bayesian stacking technique to directly measure the H I mass function (HIMF) and its evolution with redshift using galaxies formally below the nominal detection threshold. We generate galaxy samples over several sky areas given an assumed HIMF described by a Schechter function and simulate the H I emission lines with different levels of background noise to test the technique. We use MULTINEST to constrain the parameters of the HIMF in a broad redshift bin, demonstrating that the HIMF can be accurately reconstructed, using the simulated spectral cube far below the H I mass limit determined by the 5σ flux-density limit, i.e. down to MH I = 107.5 M over the redshift range 0 0.1) redshifts.