Sir Adrian Frederick Melhuish Smith, PRS (born 9 September 1946) is a British statistician who is chief executive of the Alan Turing Institute and president of the Royal Society.

His monographs are the most comprehensive available and his work has had a major impact on the development of monitoring tools for clinicians."

With Antonio Machi, he translated Bruno de Finetti's Theory of Probability into English.

He wrote an influential paper in 1990 along with Alan E. Gelfand, which drew attention to the significance of the Gibbs sampler technique for Bayesian numerical integration problems.

[9] and in 2020 an Honorary Doctorate Honoris Causa from Federal University of Rio de Janeiro.