In 2015 Paul Shaman wrote about the history of IMS Fellows, and included an extensive list of their other achievements.

A few years have passed, so we now present an update to that list:

Nobel Prize in Economic Sciences
Ragnar A. Frisch 1969
Kenneth J. Arrow 1972
Tjalling C. Koopmans 1975
Milton Friedman 1976
Trygve Haavelmo 1989
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Abel Prize
S. R. Srinivasa Varadhan 2007
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International Prize in Statistics
David R. Cox 2017
Bradley Efron 2019
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Knighted
Roy G. D. Allen 1966
David R. Cox 1985
Maurice G. Kendall 1974
John F. C. Kingman 1985
Bernard W. Silverman 2018
Adrian F. M. Smith 2011
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Medal for Merit
John von Neumann 1947
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Medal of Freedom
John von Neumann 1956
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Presidential Medal of Freedom
Milton Friedman 1988
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National Medal of Science
Sewall G. Wright 1966
Jerzy Neyman 1968
William Feller 1969
John W. Tukey 1973
George B. Dantzig 1975
Joseph L. Doob 1979
Milton Friedman 1988
Samuel Karlin 1989
C. R. Rao 2001
Kenneth J. Arrow 2004
Bradley Efron 2005
S. R. Srinivasa Varadhan 2010
David H. Blackwell 2014 (posthumously)
Thomas Kailath 2014
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National Medal of Technology and Innovation
W. Edwards Deming 1987
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Kyoto Prize
Hirotugu Akaike 2006
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MacArthur Fellowship
Peter J. Bickel 1984
Persi W. Diaconis 1982
David L. Donoho 1991
Bradley Efron 1983
Susan A. Murphy 2013
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Shaw Prize
David L. Donoho 2013
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Norbert Wiener Prize in Applied Mathematics
David L. Donoho 2010
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Wolf Prize for Mathematics
Gregory F. Lawler 2019
Jean-François Le Gall 2019
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Wolf Prize for Physics
Benoit Mandelbrot 1993
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Carl Friedrich Gauss Prize
David L. Donoho 2018
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Australian Academy of Science
Noel A. C. Cressie 2018 Fellow
Joseph M. Gani 1976 Fellow
Peter G. Hall 1987 Fellow
Christopher C. Heyde 1977 Fellow
Henry O. Lancaster 1961 Fellow
Kerrie L. Mengersen 2018 Fellow
Edwin J. G. Pitman 1954 Fellow
Terence P. Speed 2001 Fellow
Matthew P. Wand 2008 Fellow
Alan H. Welsh 2007 Fellow
Ruth J. Williams 2018 Corresponding Member
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Academy of the Social Sciences in Australia
Christopher C. Heyde 2003 Fellow
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The Royal Society of Canada
Martin T. Barlow 1998 Fellow
David R. Brillinger 1985 Fellow
David R. Cox 2010 Fellow
Miklos Csörgő 1989 Fellow
Donald A. Dawson 1987 Fellow
Stephen E. Fienberg 2004 Fellow
Donald A. S. Fraser 1967 Fellow
Christian Genest 2015 Fellow
V. P. Godambe 2002 Fellow
Agnes M. Herzberg 2008 Fellow
John D. Kalbfleisch 1994 Fellow
Jerald F. Lawless 2000 Fellow
Neal N. Madras 2002 Fellow
Edwin A. Perkins 1988 Fellow
Jonnagadda N. K. Rao 1991 Fellow
Nancy M. Reid 2001 Fellow
Jeffrey Rosenthal 2012 Fellow
Gordon Slade 2000 Fellow
David Sprott 1975 Fellow
Mary E. Thompson 2006 Fellow
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Royal Danish Academy of Sciences and Letters
O. E. Barndorff-Nielsen 1980 Member
David R. Cox 1983 Foreign Member
William Feller ? Foreign Member
Anders H. Hald ? Member
Søren Johansen 2002 Member
Steffen L. Lauritzen 2008 Foreign Member
Thomas Mikosch 2004 Member
Michael Sørenson 2006 Member
Sewall G. Wright ? Foreign Member
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Académie des sciences (France)
Georges Darmois 1955 Member
Paul Deheuvels 1994 Correspondent
Paul Deheuvels 2000 Member
David L. Donoho 2009 Foreign Associate
Joseph L. Doob 1975 Foreign Associate
Marie-Joseph Kampé de Fériet 1954 Correspondent
Jean-François Le Gall 2013 Member
Gilles Pisier 2002 Member
Michael S. Waterman 2005 Foreign Associate
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Indian Academy of Sciences
Krishna B. Athreya 1974 Fellow
Raj R. Bahadur 1975 Fellow
Arup Bose 2006 Fellow
Probal Chaudhuri 2003 Fellow
Jayanta K. Ghosh 1990 Fellow
Thomas Kailath 2013 Honorary Fellow
S. K. Mitra 1990 Fellow
Rahul Mukerjee 2001 Fellow
B. L. S. Prakasa-Rao 1992 Fellow
C. R. Rao 1974 Fellow
S. S. Shrikhande 1974 Fellow
S. R. S. Varadhan 2004 Honorary Fellow
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Indian National Science Academy
Raj R. Bahadur 1959 Fellow
Arup Bose 2007 Fellow
Probal Chaudhuri 2009 Fellow
Somesh Das Gupta 1992 Fellow
Jayanta K. Ghosh 1982 Fellow
Thomas Kailath 2014 Foreign Fellow
Gopinath Kallianpur 1979 Fellow
S. K. Mitra 1981 Fellow
Rahul Mukerjee 2004 Fellow
Gilles I. Pisier 2011 Foreign Fellow
B. L. S. Prakasa-Rao 1984 Fellow
C. R. Rao 1954 Fellow
Samarendra N. Roy 1946 Foreign Fellow
S. S. Shrikhande 1963 Fellow
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Royal Society of New Zealand
Estate V. Khmaladze 2010 Fellow
Alastair J. Scott 1990 Fellow
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The Royal Netherlands Academy of Arts and Sciences
Peter J. Bickel 1995 Foreign Member
Jan de Leeuw 1989 Corresponding Member
W. Th. Frank den Hollander 2005 Member
Richard D. Gill 1999 Member
Mark Kac 1981 Foreign Member
Johannes H. B. Kemperman 1964 Member
Harry Kesten 1980 Corresponding Member
Tjalling C. Koopmans 1950 Corresponding Member
David van Dantzig 1949 Member
Sara A. van de Geer 2006 Corresponding Member
Aad W. van der Vaart 2009 Member
Bartel L. van der Waerden 1949 Member
Willem R. van Zwet 1979 Member
John von Neumann 1950 Foreign Member
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The Norwegian Academy of Science and Letters
Theodore W. Anderson, Jr. 1994 Foreign Member
David R. Brillinger 2004 Foreign Member
Niels Keiding 2005 Foreign Member
Ester Samuel-Cahn Foreign Member
Howell Tong 2000 Foreign Member
S. R. Srinivasa Varadhan 2009 Foreign Member
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The Royal Swedish Academy of Sciences
Ulf Grenander 1966 Member
Peter Jagers 1989 Member
Jerzy Neyman 1963 Foreign Member
Holger Rootzén Member
Herman O. A. Wold 1960 Member
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The Royal Society (UK)
Alexander C. Aitken 1936 Fellow
David J. Aldous 1994 Fellow
Kenneth J. Arrow 2006 Foreign Member
Martin T. Barlow 2005 Fellow
Maurice S. Bartlett 1961 Fellow
Julian E. Besag 2004 Fellow
George E. P. Box 1985 Fellow
David R. Cox 1973 Fellow
Jack Cuzick 2016 Fellow
Henry E. Daniels 1980 Fellow
A. Philip Dawid 2018 Fellow
Donald A. Dawson 2010 Fellow
Peter J. Donnelly 2006 Fellow
Alison M. Etheridge 2015 Fellow
David J. Finney 1955 Fellow
Peter J. Green 2003 Fellow
Geoffrey R. Grimmett 2014 Fellow
Peter G. Hall 2000 Fellow
John M. Hammersley 1976 Fellow
Thomas Kailath 2009 Foreign Member
David G. Kendall 1964 Fellow
John F. C. Kingman 1971 Fellow
Steffen L. Lauritzen 2011 Fellow
Terence J. Lyons 2002 Fellow
Peter McCullagh 1994 Fellow
Jerzy Neyman 1979 Foreign Member
Egon S. Pearson 1966 Fellow
Edwin A. Perkins 2007 Fellow
H. Vincent Poor 2014 Foreign Member
C. R. Rao 1967 Fellow
Nancy M. Reid 2018 Fellow
Bernard W. Silverman 1997 Fellow
Gordon Slade 2017 Fellow
Adrian F. M. Smith 2001 Fellow
Terence P. Speed 2013 Fellow
Simon Tavaré 2011 Fellow
Robert J. Tibshirani 2019 Fellow
John W. Tukey 1991 Foreign Member
S. R. Srinivasa Varadhan 1998 Fellow
Peter Whittle 1978 Fellow
Sewall G. Wright 1963 Foreign Member
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The British Academy
Roy G. D. Allen 1952 Fellow
Kenneth J. Arrow 1976 Corresponding Fellow
David J. Bartholomew 1987 Fellow
David R. Cox 1997 Honorary Fellow
James Durbin 2001 Fellow
Maurice G. Kendall 1970 Fellow
Oliver B. Linton 2008 Fellow
Peter C. B. Phillips 2008 Corresponding Fellow
Donald B. Rubin 2009 Corresponding Fellow
Peter M. Robinson 2000 Fellow
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The Royal Society of Edinburgh
John Aitchison 1968 Fellow
Alexander C. Aitken 1925 Fellow
Rosemary A. Bailey 2015 Fellow
O. E. Barndorff-Nielsen 2001 Corresponding Fellow
David R. Cox 2013 Honorary Fellow
David J. Finney 1955 Fellow
Anders H. Hald 2001 Corresponding Fellow
Peter G. Hall 2002 Corresponding Fellow
Terence J. Lyons 1988 Fellow
H. Vincent Poor 2013 Corresponding Fellow
Maurice H. Quenouille 1952 Fellow
Nancy M. Reid 2015 Corresponding Fellow
Brian D. Ripley 1990 Fellow
S. D. Silvey 1967 Fellow
Donald M. Titterington 1991 Fellow
John Wishart 1931 Fellow
Sewall G. Wright 1951 Honorary Fellow
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The Royal Society of Literature
Alexander C. Aitken 1964 Fellow
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National Academy of Sciences
David J. Aldous 2010 Foreign Associate
Theodore W. Anderson, Jr. 1976 Member
Kenneth J. Arrow 1968 Member
Maurice S. Bartlett 1993 Foreign Associate
James O. Berger 2003 Member
Joseph Berkson 1979 Member
Peter J. Bickel 1986 Member
David H. Blackwell 1965 Member
Raj Chandra Bose 1976 Member
Maury Bramson 2017 Member
Leo Breiman 2001 Member
Emery N. Brown 2014 Member
Lawrence D. Brown 1990 Member
Donald L. Burkholder 1988 Member
Herman Chernoff 1980 Member
William G. Cochran 1974 Member
David R. Cox 1988 Foreign Associate
Gertrude M. Cox 1975 Member
Harald Cramér 1984 Foreign Associate
George B. Dantzig 1971 Member
Persi W. Diaconis 1995 Member
David L. Donoho 1998 Member
Joseph L. Doob 1957 Member
Richard T. Durrett 2007 Member
Eugene B. Dynkin 1985 Member
Bradley Efron 1986 Member
Steven N. Evans 2016 Member
William Feller 1960 Member
Stephen E. Fienberg 1999 Member
Milton Friedman 1973 Member
Donald Geman 2015 Member
Stuart Geman 2011 Member
Leo Goodman 1974 Member
Ulf Grenander 1996 Member
Peter G. Hall 2013 Foreign Associate
Morris H. Hansen 1976 Member
Theodore E. Harris 1988 Member
Trevor J. Hastie 2018 Member
Wassily Hoeffding 1976 Member
Harold Hotelling 1970 Member
Dunham Jackson 1935 Member
Iain M. Johnstone 2005 Member
Michael I. Jordan 2010 Member
Mark Kac 1965 Member
Thomas Kailath 2000 Member
Samuel Karlin 1972 Member
Harry Kesten 1983 Member
Jack C. Kiefer 1975 Member
John F. C. Kingman 2007 Foreign Associate
Tjalling C. Koopmans 1969 Member
Gregory F. Lawler 2013 Member
Erich L. Lehmann 1978 Member
Thomas M. Liggett 2008 Member
Benoit B. Mandelbrot 1987 Member
Jacob Marschak 1973 Member
Frederick Mosteller 1974 Member
Susan A. Murphy 2016 Member
Charles M. Newman 2004 Member
Jerzy Neyman 1963 Member
Yuval Peres 2016 Foreign Associate
H. Vincent Poor 2011 Member
Adrian E. Raftery 2009 Member
C. R. Rao 1995 Member
Nancy M. Reid 2016 Foreign Associate
Herbert E. Robbins 1974 Member
Kathryn Roeder 2019 Member
Murray Rosenblatt 1984 Member
Gian-Carlo Rota 1982 Member
Donald B. Rubin 2010 Member
Lawrence A. Shepp 1989 Member
David O. Siegmund 2002 Member
David Slepian 1977 Member
Frank Spitzer 1981 Member
Charles M. Stein 1975 Member
Charles J. Stone 1993 Member
Simon Tavaré 2018 Foreign Associate
Robert J. Tibshirani 2012 Member
John W. Tukey 1961 Member
S. R. Srinivasa Varadhan 1995 Member
John von Neumann 1937 Member
Grace Wahba 2000 Member
Larry A. Wasserman 2016 Member
Michael S. Waterman 2001 Member
Ruth Williams 2012 Member
Jacob Wolfowitz 1974 Member
Wing Hung Wong 2009 Member
Sewall G. Wright 1934 Member
Bin Yu 2014 Member
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National Academy of Engineering
Emery N. Brown 2015 Member
Thomas M. Cover 1995 Member
George B. Dantzig 1985 Member
W. Edwards Deming 1983 Member
Donald P. Gaver 2009 Member
Peter W. Glynn 2012 Member
J. Michael Harrison 2008 Member
Donald L. Iglehart 1999 Member
Michael I. Jordan 2010 Member
Gerald J. Lieberman 1987 Member
H. Vincent Poor 2001 Member
Howard Raiffa 2005 Member
David Slepian 1976 Member
Arthur F. Veinott, Jr. 1986 Member
Michael S. Waterman 2012 Member
Peter Whittle 2016 Foreign Associate
C. F. Jeff Wu 2004 Member
Moshe Zakai 1989 Foreign Associate
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National Academy of Medicine
Kenneth J. Arrow 1974 Member
Emery N. Brown 2007 Member
Alicia L. Carriquiry 2016 Member
Nicholas P. Jewell 2017 Member
Stephen W. Lagakos 2002 Member
Xihong Lin 2018 Member
Paul Meier 1992 Member
Frederick Mosteller 1971 Member
Susan A. Murphy 2014 Member
Lawrence A. Shepp 1992 Member
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American Academy of Arts and Sciences
David J. Aldous 2004 Member
Theodore W. Anderson, Jr. 1974 Member
Kenneth J. Arrow 1959 Member
Raj R. Bahadur 1986 Member
Gérard Ben Arous 2015 Member
Peter J. Bickel 1986 Member
Patrick Billingsley 1986 Member
David H. Blackwell 1969 Member
George E. P. Box 1974 Member
Leo Breiman 1999 Member
David R. Brillinger 1993 Member
Emery N. Brown 2012 Member
Lawrence D. Brown 2013 Member
Donald L. Burkholder 1992 Member
Herman Chernoff 1974 Member
Victor Chernozhukov 2016 Member
William G. Cochran 1971 Member
Thomas M. Cover 2003 Member
David R. Cox 1974 Foreign Honorary Member
Harald Cramér 1961 Foreign Honorary Member
George B. Dantzig 1975 Member
Arthur P. Dempster 1997 Member
Persi W. Diaconis 1989 Member
David L. Donoho 1992 Member
Joseph L. Doob 1965 Member
Richard T. Durrett 2002 Member
Aryeh Dvoretzky 1985 Foreign Honorary Member
Eugene B. Dynkin 1978 Member
Bradley Efron 1983 Member
William Feller 1958 Member
Stephen E. Fienberg 2007 Member
Irving Fisher 1912 Member
David A. Freedman 1991 Member
Milton Friedman 1959 Member
Ragnar A. K. Frisch 1960 Foreign Honorary Member
Hilda Geiringer 1955 Member
Irving J. Good 1985 Member
Leo Goodman 1973 Member
Ulf Grenander 1995 Member
Louis Guttman 1975 Foreign Honorary Member
Trygve Haavelmo 1976 Foreign Honorary Member
Morris H. Hansen 1985 Member
Wassily Hoeffding 1985 Member
Peter J. Huber 1987 Member
Edward V. Huntington 1913 Member
Dunham Jackson 1915 Member
Iain M. Johnstone 2003 Member
Michael I. Jordan 2011 Member
Mark Kac 1959 Member
Joseph B. Kadane 2010 Member
Thomas Kailath 1994 Member
Samuel Karlin 1970 Member
Truman L. Kelley 1931 Member
Harry Kesten 1999 Member
Jack C. Kiefer 1972 Member
Tjalling C. Koopmans 1960 Member
William H. Kruskal 1973 Member
Thomas G. Kurtz 2005 Member
Gregory F. Lawler 2005 Member
Lucien M. Le Cam 1976 Member
Erich L. Lehmann 1975 Member
Thomas M. Liggett 2012 Member
Benoit B. Mandelbrot 1982 Member
Jacob Marschak 1961 Member
Peter McCullagh 2002 Member
Paul Meier 1980 Member
Lincoln E. Moses 1981 Member
Frederick Mosteller 1954 Member
Charles M. Newman 2006 Member
Jerzy Neyman 1976 Member
H. Vincent Poor 2005 Member
John W. Pratt 1988 Member
Adrian E. Raftery 2003 Member
Howard Raiffa 1968 Member
C. R. Rao 1975 Foreign Honorary Member
Herbert E. Robbins 1975 Member
Gian-Carlo Rota 1963 Member
Donald B. Rubin 1993 Member
Laurent Saloff-Coste 2011 Member
Lawrence A. Shepp 1993 Member
David O. Siegmund 1994 Member
Leslie E. Simon 1956 Member
David Slepian 1990 Member
Stephen M. Stigler 1987 Member
John W. Tukey 1964 Member
S. R. Srinivasa Varadhan 1988 Member
Richard E. von Mises 1944 Member
John von Neumann 1944 Member
Grace Wahba 1997 Member
W. Allen Wallis 1964 Member
Michael S. Waterman 1995 Member
Samuel S. Wilks 1963 Member
Ruth Williams 2009 Member
Herman O. A. Wold 1978 Foreign Honorary Member
Jacob Wolfowitz 1970 Member
Sewall G. Wright 1948 Member
Bin Yu 2013 Member
Ofer Zeitouni 2019 Member
Marvin Zelen 1991 Member
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American Philosophical Society
Kenneth J. Arrow 1968 Member
David H. Blackwell 1990 Member
David R. Cox 1990 International Member
Persi W. Diaconis 2005 Member
David L. Donoho 2019 Member
William Feller 1966 Member
Milton Friedman 1957 Member
Leo Goodman 1976 Member
Robert Henderson 1927 Member
Edward V. Huntington 1933 Member
Mark Kac 1969 Member
Samuel Karlin 1995 Member
Benoit B. Mandelbrot 2004 Member
Frederick Mosteller 1961 Member
Stephen M. Stigler 2006 Member
John W. Tukey 1962 Member
Samuel S. Wilks 1948 Member
Sewall G. Wright 1932 Member
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American Academy of Political and Social Science
David R. Cox 2003 Harold Lasswell Fellow
Stephen Fienberg 2004 Thorsten Sellin Fellow