Massachusetts Institute of Technology | California Institute of Technology | Art Institute of Chicago | Institute for Advanced Study | American Institute of Architects | Georgia Institute of Technology | Rensselaer Polytechnic Institute | Rochester Institute of Technology | Franklin Institute | Royal Institute of Technology | Pasteur Institute | Institute of Contemporary Arts | California Institute of the Arts | Institute of Electrical and Electronics Engineers | British Film Institute | Pratt Institute | National Cancer Institute | Virginia Military Institute | Cato Institute | Australian Institute of Sport | Illinois Institute of Technology | Curtis Institute of Music | American Institute of Aeronautics and Astronautics | Royal Institute of British Architects | National Institute of Standards and Technology | Monterrey Institute of Technology and Higher Education | Institute of Physics | American Mathematical Society | List of Monterrey Institute of Technology and Higher Education faculty | Weizmann Institute of Science |
He is a fellow of AAAS, ASA, IMS and RSS, and Elected Member of the International Statistical Institute.
Greville was a member of the American Mathematical Society; the Society for Industrial and Applied Mathematics; the Society of Actuaries; the Institute of Mathematical Statistics; the American Statistical Association; and the Parapsychological Association.