 He was an honorary fellow of the American Statistical Association and the Institute of Mathematical Statistics.In 1981, he won the Boyle Medal.Roy Geary is known for his contributions to the estimation of errors-in-variables models, Geary's C, the Geary–Khamis dollar, the Stone–Geary utility function, and Geary's theorem, which has that if the sample mean is distributed independently of the sample variance, then the population is distributed normally.