Calyampudi Radhakrishna Rao
Calyampudi Radhakrishna Rao (Kannada: ಕಲ್ಯಾಂಪುದಿ ರಾಧಾಕೃಷ್ಣ ರಾಯ) FRS (born September 10, 1920, Hadagali, Karnataka) is an Indian born statistician, currently professor emeritus at Penn State University and Research Professor at the University at Buffalo. Rao has been honored by numerous colloquia, honorary degrees, and festschrifts and was awarded the US National Medal of Science in 2002.[1]. The American Statistical Association has described him as "a living legend whose work has influenced not just statistics, but has had far reaching implications for fields as varied as economics, genetics, anthropology, geology, national planning, demography, biometry, and medicine."[1] The Times of India listed Rao as one of the top 10 Indian scientists of all time.
Academic career
He received an M.S. degree in mathematics from Andhra University and an M.S. degree in statistics from Calcutta University in 1943.
Rao worked at the Indian Statistical Institute and the Anthropological Museum in Cambridge before acquiring a Ph.D. degree at King's College in Cambridge University under R.A. Fisher in 1948, to which he added a Sc.D. degree, also from Cambridge, in 1965. He held several important positions, as the Director of the Indian Statistical Institute, Jawaharlal Nehru Professor and National Professor in India, University Professor at the University of Pittsburgh and Eberly Professor and Chair of Statistics and Director of the Center for Multivariate Analysis at the Pennsylvania State University. As Head and later Director of the Research and Training School at the Indian Statistical Institute for a period of over 40 years, Rao developed research and training programs and produced several leaders in the field of Mathematics. On the basis of Dr. Rao's recommendation, the ASI (The Asian Statistical Institute) now known as Statistical Institute for Asia and Pacific was established in Tokyo to provide training to statisticians working in government and industrial organizations.[2]
Among his best-known discoveries are the Cramér-Rao bound and the Rao-Blackwell theorem both related to the quality of estimators. Other areas he worked in include multivariate analysis, estimation and differential geometry. His other contributions include the Fisher-Rao Theorem, Rao distance, and orthogonal arrays. He is the author of 14 books and has published over 400 journal publications.
Rao has received over 30 honorary doctoral degrees from universities in 17 countries around the world and numerous awards and medals for his contributions to statistics and science. He is a member of eight National Academies in India, the United Kingdom, the United States, and Italy. Rao was awarded the United States National Medal of Science, that nation's highest award for lifetime achievement in fields of scientific research, in June 2002.
He has been the President of the International Statistical Institute, Institute of Mathematical Statistics (USA), and the International Biometric Society. He was inducted into the Hall of Fame of India's National Institution for Quality and Reliability (Chennai Branch) for his contribution to industrial statistics and the promotion of quality control programs in industries.
Areas of research contributions
- Estimation theory
- Statistical inference and linear models
- Multivariate analysis
- Combinatorial design
- Biometry
- Statistical genetics
- Generalized matrix inverses
- Functional equations
Awards & Medals
- International Mahalanobis Prize (2003) of the International Statistical Institute
- Srinivasa Ramanujan Medal (2003) of the Indian National Science Academy
- President George W. Bush, on June 12, 2002, honored him with the National Medal of Science as a "prophet of new age" with the citation, "for his pioneering contributions to the foundations of statistical theory and multivariate statistical methodology and their applications, enriching the physical biological, mathematical, economic and engineering sciences."
- Padma Vibhushan (2001) by the Government of India
- Mahalanobis Centenary Gold Medal (1993?) of the Indian Science Congress
- Wilks Memorial Award (1989) of the American Statistical Association
- Megnadh Saha Medal (1969) of the Indian National Science Academy
- Guy Medal in Silver (1965) of the Royal Statistical Society
- S. S. Bhatnagar Award (1963) of Council of Scientific and Industrial Research
- JC Bose Gold Medal of the Bose Institute
- Gold Medal of the University of Calcutta
In his honor
- The Pennsylvania State University has established C. R. and Bhargavi Rao Prize in statistics,
- CR Rao Advanced Institute of Mathematics, Statistics and Computer Science
References
External links
For the Cramér-Rao inequality and the Rao-Blackwell theorem see the relevant entries on
Photograph of Rao with Harald Cramér in 1978
Indian mathematics |
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Mathematicians |
Ancient
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Apastamba · Baudhayana · Katyayana · Manava · Pāṇini · Pingala · Yajnavalkya
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Classical
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Aryabhata I · Aryabhata II · Bhāskara I · Bhāskara II · Melpathur Narayana Bhattathiri · Brahmadeva · Brahmagupta · Brihaddeshi · Halayudha · Jyesthadeva · Madhava of Sangamagrama · Mahavira · Mahendra Suri · Munishvara · Narayana Pandit · Parameshvara · Achyuta Pisharati · Jagannatha Samrat · Nilakantha Somayaji · Śrīpati · Sridhara · Gangesha Upadhyaya · Varahamihira · Sankara Variar · Virasena
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Modern
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Shreeram Shankar Abhyankar · A. A. Krishnaswami Ayyangar · Raj Chandra Bose · Satyendra Nath Bose · Harish-Chandra · Subrahmanyan Chandrasekhar · D. K. Ray-Chaudhuri · Sarvadaman Chowla · Narendra Karmarkar · Prasanta Chandra Mahalanobis · Jayant Narlikar · Vijay Kumar Patodi · Srinivasa Ramanujan · Calyampudi Radhakrishna Rao · S. N. Roy · Sharadchandra Shankar Shrikhande · Navin M. Singhi · Mathukumalli V. Subbarao · S. R. Srinivasa Varadhan
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Treatises |
Aryabhatiya · Bakhshali manuscript · Brahmasphutasiddhanta · Karanapaddhati · Maha-Siddhanta · Paulisa Siddhanta · Paitamaha Siddhanta · Romaka Siddhanta · Sadratnamala · Śulba Sūtras · Surya Siddhanta · Tantrasamgraha · Vasishtha Siddhanta · Veṇvāroha · Yuktibhasa · Yavanajataka
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Centers |
Jantar Mantar (Jaipur) · Kerala school of astronomy and mathematics · Ujjain · Yantra Mantra (Jaipur, Delhi)
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Influences |
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Influenced |
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Recipients of Shanti Swarup Bhatnagar Prize for Science and Technology in Mathematical Science |
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Komaravolu Chandrasekharan & C. R. Rao (1959) • K. G. Ramanathan (1965) • A.S. Gupta & C. S. Seshadri (1972) • P.C. Jain & M. S. Narasimhan (1975) • K. R. Parthasarathy & S. K. Trehan (1976) • M. S. Raghunathan (1977) • Edayyathu Mangalam Venkatarama Krishnamurthy (1978) • S. Raghavan & S. Ramanan (1979) • R. Sridharan (1980) • J. K. Ghosh (1981) • B.L. Prakasa Rao & J. B. Shukla (1982) • I.B.S. Passi & Phoolan Prasad (1983) • S.K. Malik & R. Parthasarathy (1985) • T. Parthasarathy & U. B. Tewari (1986) • Raman Parimala & T. N. Shorey (1987) • M. B. Banerjee & K. B. Sinha (1988) • Gopal Prasad (1989) • R. Balasubramanian & S. G. Dani (1990) • V. B. Mehta & Annamalai Ramanathan (1991) • Maithili Sharan (1992) • Karmeshu & Navin Madhavprasad Singhi (1993) • N. Mohan Kumar (1994) • Rajendra Bhatia (1995) • V. S. Sunder (1996) • Subhashis Nag & T. R. Ramadas (1998) • Rajeeva Laxman Karandikar (1999) • Rahul Mukerjee (2000) • Gadadhar Misra & T. N. Venkataramana (2001) • Dipendra Prasad & S. Thangavelu (2002) • Manindra Agrawal & V. Srinivas (2003) • Arup Bose & Sujatha Ramdorai (2004) • Probal Chaudhuri & K. H. Paranjape (2005) • Vikraman Balaji & Indranil Biswas (2006) • B. V. Rajarama Bhat (2007) • Jaikumar Radhakrishnan (2008) • Suresh Venapally (2009) •
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All the branches |
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United States National Medal of Science laureates |
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Behavioral and social science |
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1960s
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1964: Roger Adams · Othmar H. Ammann · Theodosius Dobzhansky · Neal Elgar Miller
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1980s
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1990s
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2000s
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2000: Gary Becker · 2001: George Bass · 2003: R. Duncan Luce · 2004: Kenneth Arrow · 2005: Gordon H. Bower · 2008: Michael I. Posner
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Biological sciences |
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1960s
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1963: C. B. van Niel · 1964: Marshall W. Nirenberg · 1965: Francis P. Rous · George G. Simpson · Donald D. Van Slyke · 1966: Edward F. Knipling · Fritz Albert Lipmann · William C. Rose · Sewall Wright · 1967: Kenneth S. Cole · Harry F. Harlow · Michael Heidelberger · Alfred H. Sturtevant · 1968: Horace Barker · Bernard B. Brodie · Detlev W. Bronk · Jay Lush · Burrhus Frederic Skinner · 1969: Robert Huebner · Ernst Mayr
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1970s
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1970: Barbara McClintock · Albert B. Sabin · 1973: Daniel I. Arnon · Earl W. Sutherland, Jr. · 1974: Britton Chance · Erwin Chargaff · James V. Neel · James Augustine Hannon · 1975: Hallowell Davis · Paul Gyorgy · Sterling Brown Hendricks · Orville lvin Vogel · 1976: Roger C.L. Guillemin · Keith Roberts Porter · Efraim Racker · E. O. Wilson · 1979: Robert H. Burris · Elizabeth C. Crosby · Arthur Kornberg · Severo Ochoa · Earl Reece Stadtman · George Ledyard Stebbins · Paul Alfred Weiss
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1980s
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1981: Philip Handler · 1982: Seymour Benzer · Glenn W. Burton · Mildred Cohn · 1983: Howard L. Bachrach · Paul Berg · Wendell L. Roelofs · Berta Scharrer · 1986: Stanley Cohen · Donald A. Henderson · Vernon B. Mountcastle · George Emil Palade · Joan A. Steitz · 1987: Michael E. Debakey · Theodor O. Diener · Harry Eagle · Har Gobind Khorana · Rita Levi-Montalcini · 1988: Michael S. Brown · Stanley Norman Cohen · Joseph L. Goldstein · Maurice R. Hilleman · Eric R. Kandel · Rosalyn S. Yalow · 1989: Katherine Esau · Viktor Hamburger · Philip Leder · Joshua Lederberg · Roger W. Sperry · Harland G. Wood
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1990s
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1990: Baruj Benacerraf · Herbert W. Boyer · Daniel E. Koshland, Jr. · Edward B. Lewis · David G. Nathan · E. Donnall Thomas · 1991: Mary Ellen Avery · G. Evelyn Hutchinson · Elvin A. Kabat · Salvador Luria · Paul A. Marks · Folke K Skoog · Paul C. Zamecnik · 1992: Maxine Singer · Howard M. Temin · 1993: Daniel Nathans · Salome G. Waelsch · 1994: Thomas Eisner · Elizabeth F. Neufeld · 1995: Alexander Rich · 1996: Ruth Patrick · 1997: James D. Watson · Robert A. Weinberg · 1998: Bruce Ames · Janet Rowley · 1999: David Baltimore · Jared Diamond · Lynn Margulis
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2000s
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2000: Nancy C. Andreasen · Peter H. Raven · Carl Woese · 2001: Francisco J. Ayala · Mario R. Capecchi · Ann M. Graybiel · Gene E. Likens · Victor A. McKusick · Harold Varmus · 2002: James E. Darnell · Evelyn M. Witkin · 2003: J. Michael Bishop · Solomon H. Snyder · Charles Yanofsky · 2004: Norman E. Borlaug · Phillip A. Sharp · Thomas E. Starzl · 2005: Anthony Fauci · Torsten N. Wiesel · 2006: Rita R. Colwell · Nina Fedoroff · Lubert Stryer · 2007: Robert J. Lefkowitz · Bert W. O'Malley · 2008: Francis S. Collins · Elaine Fuchs · J. Craig Venter
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Chemistry |
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1980s
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1982: F. Albert Cotton · Gilbert Stork · 1983: Roald Hoffmann · George C. Pimentel · Richard N. Zare · 1986: Harry B. Gray · Yuan Tseh Lee · Carl S. Marvel · Frank H. Westheimer · 1987: William S. Johnson · Walter H. Stockmayer · Max Tishler · 1988: William O. Baker · Konrad E. Bloch · Elias J. Corey · 1989: Richard B. Bernstein · Melvin Calvin · Rudoph A. Marcus · Harden M. McConnell
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1990s
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1990: Elkan Blout · Karl Folkers · John D. Roberts · 1991: Ronald Breslow · Gertrude B. Elion · Dudley R. Herschbach · Glenn T. Seaborg · 1992: Howard E. Simmons, Jr. · 1993: Donald J. Cram · Norman Hackerman · 1994: George S. Hammond · 1995: Thomas Cech · Isabella L. Karle · 1996: Norman Davidson · 1997: Darleane C. Hoffman · Harold S. Johnston · 1998: John W. Cahn · George M. Whitesides · 1999: Stuart A. Rice · John Ross · Susan Solomon
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2000s
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2000: John D. Baldeschwieler · Ralph F. Hirschmann · 2001: Ernest R. Davidson · Gabor A. Somorjai · 2002: John I. Brauman · 2004: Stephen J. Lippard · 2006: Marvin H. Caruthers · Peter B. Dervan · 2007: Mostafa A. El-Sayed · 2008: Joanna S. Fowler · JoAnne Stubbe
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Engineering sciences |
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1960s
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1970s
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1970: George E. Mueller · 1973: Harold E. Edgerton · Richard T. Whitcomb · 1974: Rudolf Kompfner · Ralph Brazelton Peck · Abel Wolman · 1975: Manson Benedict · William Hayward Pickering · Frederick E. Terman · Wernher von Braun · 1976: Morris Cohen · Peter C. Goldmark · Erwin Wilhelm Müller · 1979: Emmett N. Leith · Raymond D. Mindlin · Robert N. Noyce · Earl R. Parker · Simon Ramo
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1980s
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1982: Edward H. Heinemann · Donald L. Katz · 1983: William R. Hewlett · George M. Low · John G. Trump · 1986: Hans Wolfgang Liepmann · T. Y. Lin · Bernard M. Oliver · 1987: R. Byron Bird · H. Bolton Seed · Ernst Weber · 1988: Daniel C. Drucker · Willis M. Hawkins · George W. Housner · 1989: Harry George Drickamer · Herbert E. Grier
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1990s
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1990: Mildred S. Dresselhaus · Nick Holonyak Jr. · 1991: George Heilmeier · Luna B. Leopold · H. Guyford Stever · 1992: Calvin F. Quate · John Roy Whinnery · 1993: Alfred Y. Cho · 1994: Ray W. Clough · 1995: Hermann A. Haus · 1996: James L. Flanagan · C. Kumar N. Patel · 1998: Eli Ruckenstein · 1999: Kenneth N. Stevens
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2000s
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2000: Yuan-Cheng B. Fung · 2001: Andreas Acrivos · 2002: Leo Beranek · 2003: John M. Prausnitz · 2004: Edwin N. Lightfoot · 2005: Jan D. Achenbach · Tobin J. Marks · 2006: Robert S. Langer · 2007: David J. Wineland · 2008: Rudolf E. Kalman
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Mathematical, statistical, and computer sciences |
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1960s
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1963: Norbert Wiener · 1964: Solomon Lefschetz · H. Marston Morse · 1965: Oscar Zariski · 1966: John Milnor · 1967: Paul Cohen · 1968: Jerzy Neyman · 1969: William Feller
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1970s
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1980s
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1982: Marshall Harvey Stone · 1983: Herman Goldstine · Isadore Singer · 1986: Peter Lax · Antoni Zygmund · 1987: Raoul Bott · Michael Freedman · 1988: Ralph E. Gomory · Joseph B. Keller · 1989: Samuel Karlin · Saunders MacLane · Donald C. Spencer
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1990s
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1990: George F. Carrier · Stephen Cole Kleene · John McCarthy · 1991: Alberto Calderón · 1992: Allen Newell · 1993: Martin David Kruskal · 1994: John Cocke · 1995: Louis Nirenberg · 1996: Richard Karp · Stephen Smale · 1997: Shing-Tung Yau · 1998: Cathleen Synge Morawetz · 1999: Felix Browder · Ronald R. Coifman
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2000s
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2000: John Griggs Thompson · Karen K. Uhlenbeck · 2001: Calyampudi R. Rao · Elias M. Stein · 2002: James G. Glimm · 2003: Carl R. de Boor · 2004: Dennis P. Sullivan · 2005: Bradley Efron · 2006: Hyman Bass · 2007: Leonard Kleinrock · Andrew J. Viterbi ·
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Physical sciences |
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1960s
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1970s
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1980s
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1990s
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2000s
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2000: Willis E. Lamb · Jeremiah P. Ostriker · Gilbert F. White · 2001: Marvin L. Cohen · Raymond Davis Jr. · Charles Keeling · 2002: Richard Garwin · W. Jason Morgan · Edward Witten · 2003: G. Brent Dalrymple · Riccardo Giacconi · 2004: Robert N. Clayton · 2005: Ralph A. Alpher · Lonnie Thompson · 2006: Daniel Kleppner · 2007: Fay Ajzenberg-Selove · Charles P. Slichter · 2009: Berni Alder · James E. Gunn
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Guy Medallists |
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Gold Medallists |
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Charles Booth (1892) · Robert Giffen (1894) · J. Athelstane Baines (1900) · Francis Ysidro Edgeworth (1907) · Patrick G. Craigie (1908) · G. Udny Yule (1911) · T.H.C. Stevenson (1920) · A. William Flux (1930) · A.L. Bowley (1935) · Major Greenwood (1945) · R.A. Fisher (1946) · A. Bradford Hill (1953) · E.S. Pearson (1955) · Frank Yates (1960) · Harold Jeffreys (1962) · Jerzy Neyman (1966) · M.G. Kendall (1968) · M.S. Bartlett (1969) · Harald Cramér (1972) · David Cox (1973) · G.A. Barnard (1975) · Roy Allen (1978) · D.G. Kendall (1981) · Henry Daniels (1984) · Bernard Benjamin (1986) · Robin Plackett (1987) · Peter Armitage (1990) · George E.P. Box (1993) · Peter Whittle (1996) · Michael Healy (1999) · D.V. Lindley (2002) · John Nelder (2005) · James Durbin (2008)
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Silver Medallists |
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John Glover (1893) · Augustus Sauerbeck (1894) · A.L. Bowley (1895) · F.J. Atkinson (1897) · C.S. Loch (1899) · Richard Crawford (1900) · Thomas A. Welton (1901) · R.H. Hooker (1902) · Yves Guyot (1903) · D.A. Thomas (1904) · R.H. Rew (1905) · W.H. Shaw (1906) · N.A. Humphreys (1907) · Edward Brabrook (1909) · G.H. Wood (1910) · R. Dudfield (1913) · S. Rowson (1914) · S.J. Chapman (1915) · J. Shield Nicholson (1918) · J.C. Stamp (1919) · A. William Flux (1921) · H.W. Macrosty (1927) · Ethel Newbold (1928) · H.E. Soper (1930) · J.H. Jones (1934) · E.C. Snow (1935) · R.G. Hawtrey (1936) · E.C. Ramsbottom (1938) · L. Isserlis (1939) · H. Leak (1940) · M.G. Kendall (1945) · H. Campion (1950) · F.A.A. Menzler (1951) · M.S. Bartlett (1952) · J.O. Irwin (1953) · L.H.C. Tippett (1954) · D.G. Kendall (1955) · Henry Daniels (1957) · G.A. Barnard (1958) · E.C. Fieller (1960) · D.R. Cox (1961) · P.V. Sukhatme (1962) · George Box (1964) · C.R. Rao (1965) · Peter Whittle (1966) · D.V. Lindley (1968) · Robin Plackett (1973) · James Durbin (1976) · John Nelder (1977) · Peter Armitage (1978) · Michael Healy (1979) · M. Stone (1980) · John Kingman (1981) · Henry Wynn (1982) · Julian Besag (1983) · J.C. Gittins (1984) · A. Bissell, W. Pridmore (1985) · Richard Peto (1986) · John Copas (1987) · J. Aitchison (1988) · F.P. Kelly (1989) · David Clayton (1990) · R.L. Smith (1991) · Robert Curnow (1992) · A.F.M. Smith (1993) · David Spiegelhalter (1994) · B.W. Silverman (1995) · Stephan Lauritzen (1996) · Peter Diggle (1997) · Harvey Goldstein (1998) · Peter Green (1999) · Walter Gilks (2000) · Philip Dawid (2001) · David Hand (2002) · Kanti Mardia (2003) · Peter Donnelly (2004) · Peter McCullagh (2005) · Michael Titterington (2006) · Howell Tong (2007) · Gareth Roberts (2008) · Sylvia Richardson (2009)
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Bronze Medallists |
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William Gemmell Cochran (1936) · R.F. George (1938) · W.J. Jennett (1949) · Peter Armitage (1962) · James Durbin (1966) · F. Downton (1967) · Robin Plackett (1968) · M.C. Pike (1969) · P.G. Moore (1970) · D.J. Bartholomew (1971) · G.N. Wilkinson (1974) · A.F. Bissell (1975) · P.L. Goldsmith (1976) · A.F.M. Smith (1977) · Philip Dawid (1978) · T.M.F. Smith (1979) · A.J. Fox (1980) · S.J. Pocock (1982) · Peter McCullagh (1983) · Bernard Silverman (1984) · David Spiegelhalter (1985) · D.F. Hendry (1986) · Peter Green (1987) · S.C. Darby (1988) · S.M. Gore (1989) · V.S. Isham (1990) · M.G. Kenward (1991) · C. Jennison (1992) · J.A. Tawn (1993) · R.F.A. Poultney (1994) · I. Johnstone (1995) · J.N.S. Matthews (1996) · G.O. Roberts (1997) · D. Firth (1998) · P.W.F. Smith, J. Forster (1999) · J. Wakefield (2000) · Guy Nason (2001) · Geert Molenberghs (2002) · Peter Lynn (2003) · Nicola Best (2004) · Steve Brooks (2005) · Matthew Stephens (2006) · Paul Fearnhead (2007) · Fiona Steele (2008) · Chris Holmes (2009)
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Persondata |
Name |
Rao, C. R. |
Alternative names |
Rao, Calyampudi Radhakrishna |
Short description |
Indian- American mathematician |
Date of birth |
September 10, 1920 |
Place of birth |
Hadagali, Karnataka, India |
Date of death |
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Place of death |
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