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We consider standard estimators of the velocity autocorrelation function, \u03c81 and \u03c82, the two-point galaxy correlation function, \u03begg, and introduce a new estimator of the galaxy\u2013velocity cross-correlation function, \u03c83. By including pair counts measured from random catalogues of velocities and positions sampled from distributions characteristic of the true data, we find that the variance in the galaxy\u2013velocity cross-correlation function is significantly reduced. Applying a covariance analysis and \u03c72 minimization procedure to these statistics, we determine estimates and errors for the normalized growth rate f\u03c38 and the parameter \u03b2 = f\/b, where b is the galaxy bias factor. We test this framework on mock hemisphere data sets for redshift z &amp;lt; 0.1 with realistic velocity noise constructed from the l-picola simulation code, and find that we are able to recover the fiducial value of f\u03c38 from the joint combination of \u03c81 + \u03c82 + \u03c83 + \u03begg, with 15\u00a0per\u2009cent accuracy from individual mocks. We also recover the fiducial f\u03c38 to within 1\u03c3 regardless of the combination of correlation statistics used. When we consider all four statistics together we find that the statistical uncertainty in our measurement of the growth rate is reduced by $59{{\\ \\rm per\\ cent}}$ compared to the same analysis only considering \u03c82, by $53{{\\ \\rm per\\ cent}}$ compared to the same analysis only considering \u03c81, and by $52{{\\ \\rm per\\ cent}}$ compared to the same analysis jointly considering \u03c81 and \u03c82.<\/jats:p>","DOI":"10.1093\/mnras\/stab212","type":"journal-article","created":{"date-parts":[[2021,1,23]],"date-time":"2021-01-23T15:54:07Z","timestamp":1611417247000},"page":"2087-2096","source":"Crossref","is-referenced-by-count":15,"title":["Improving estimates of the growth rate using galaxy\u2013velocity correlations: a simulation study"],"prefix":"10.1093","volume":"502","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7638-2880","authenticated-orcid":false,"given":"Ryan J","family":"Turner","sequence":"first","affiliation":[{"name":"Centre for Astrophysics & Supercomputing, Swinburne University of Technology, P.O. 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