David Blackwell
Blackwell in 1999
Born
David Harold Blackwell

(1919-04-24)April 24, 1919
Centralia, Illinois, U.S.
DiedJuly 8, 2010(2010-07-08) (aged 91)[1]
Berkeley, California, U.S.
EducationUniversity of Illinois at Urbana-Champaign (BA, MA, PhD)
Known forRao–Blackwell theorem
Blackwell channel
Arbitrarily varying channel
Games of imperfect information
Dirichlet distribution
Bayesian statistics
Mathematical economics
Recursive economics
Sequential analysis
AwardsMember of the National Academy of Sciences (1965)
John von Neumann Theory Prize (1979)
R. A. Fisher Lectureship (1986)
Scientific career
FieldsProbability
Statistics
Logic
Game theory
Dynamic programming[2]
InstitutionsUniversity of California, Berkeley
ThesisSome properties of Markoff chains (1941)
Doctoral advisorJoseph Leo Doob[3]
Doctoral students

David Harold Blackwell (April 24, 1919 – July 8, 2010) was an American statistician and mathematician who made significant contributions to game theory, probability theory, information theory, and statistics.[2] He is one of the eponyms of the Rao–Blackwell theorem.[4] He was the first African American inducted into the National Academy of Sciences, the first African American full professor (with tenure) at the University of California, Berkeley,[1][5][6] and the seventh African American to receive a Ph.D. in mathematics.[7] In 2012, President Obama posthumously awarded Blackwell the National Medal of Science.

Blackwell was also a pioneer in textbook writing. He wrote one of the first Bayesian statistics textbooks, his 1969 Basic Statistics. By the time he retired, he had published over 90 papers and books on dynamic programming, game theory, and mathematical statistics.[8]

Early life and education

David Harold Blackwell was born on April 24, 1919, in Centralia, Illinois, to Mabel Johnson Blackwell, a full-time homemaker, and Grover Blackwell, an Illinois Central Railroad worker.[9] He was the eldest of four children[8] with two brothers, J. W. and Joseph, and one sister, Elizabeth. Growing up in an integrated community, Blackwell attended "mixed" schools, where he distinguished himself in mathematics. During elementary school, his teachers promoted him beyond his grade level on two occasions. It was in a high school geometry course, however, that his passion for math began.[10] An exceptional student, Blackwell graduated high school in 1935 at the age of sixteen.[9]

Blackwell entered the University of Illinois at Urbana-Champaign with the intent to study elementary school mathematics and become a teacher. He was a member of Alpha Phi Alpha, a black fraternity that housed him for his full six years as a student. He earned his bachelor's degree in mathematics in three years in 1938 and, a year later, a master's degree in 1939. He was awarded a Doctor of Philosophy in mathematics in 1941[3] at the age of 22.[9][11][12] His doctoral advisor was Joseph L. Doob. At the time, Blackwell was the seventh African American to earn a Ph.D. in mathematics in the United States and the first at the University of Illinois at Urbana-Champaign. His doctoral thesis was on Markov chains.

Career and research

Postdoctoral study and early career

Blackwell completed one year of postdoctoral research as a fellow at the Institute for Advanced Study (IAS) at Princeton in 1941 after receiving a Rosenwald Fellowship, which was a fund to aid black scholars.[12] There he met John von Neumann, who asked Blackwell to discuss his Ph.D. thesis with him.[13] Blackwell, who believed that von Neumann was just being polite and not genuinely interested in his work, did not approach him until von Neumann himself asked him again a few months later. According to Blackwell, "He (von Neumann) listened to me talk about this rather obscure subject and in ten minutes he knew more about it than I did."[14]

While a postdoc at IAS, Blackwell was prevented from attending lectures or undertaking research at nearby Princeton University, which the IAS has historically collaborated with in research and scholarship activities,[15] because of his race.[12]

From left to right: Abdulalim Shabazz, David Blackwell, and J. Ernest Wilkins Jr. at the Conference for African American Researchers in the Mathematical Sciences in June 1995.

Seeking a permanent position elsewhere, he wrote letters of application to 104 historically black colleges and universities in 1942, and received a total of only three offers. He felt at the time that a black professor would be limited to teaching at black colleges.[16] Having been highly recommended by his dissertation advisor Joseph L. Doob for a position at the University of California, Berkeley, he was interviewed by statistician Jerzy Neyman. Neyman supported his appointment, and Griffith C. Evans, the head of the mathematics department, at first agreed and even convinced university president Robert Sproul that it was the correct decision, only to subsequently balk, citing the concerns of his wife. It was customary for Evans and his wife to invite the members of the department over for dinner and "she was not going to have any darkie in her house."[17][18]

He was offered a post at Southern University at Baton Rouge, which he held in from 1942 to 1943, followed by a year as an Instructor at Clark College in Atlanta.

Howard University

Blackwell joined the Mathematics Department at Howard University in 1944. When he joined, he was one of four faculty members and within three years he was appointed full professor and head of the department.[12] He remained at Howard until 1954.

In 1947 while at Howard, Blackwell published the paper "Conditional Expectation and Unbiased Sequential Estimation", which outlined a technique that later became known as the Rao-Blackwell theorem.[19] The theorem provides a method for improving statistical estimates by potentially reducing their mean squared error.

From 1948 to 1950, Blackwell spent his summers at RAND Corporation with Meyer Abraham Girshick and other mathematicians exploring the game theory of duels. In 1954 Girshick and Blackwell published Theory of Games and Statistical Decisions.[20] Aside from von Neumann and Girshick, other Blackwell collaborators and mentors included Leonard J. Savage, Richard E. Bellman, and Nobel Laureate Kenneth J. Arrow.[21]

University of California, Berkeley

Blackwell took a position at the University of California, Berkeley as a visiting professor in 1954, and was hired as a full professor in the newly created Department of Statistics in 1955. He became the Statistics department chair in 1957.[12][22][23]

Blackwell bridged topology and game theory via a game-theoretic proof of Kuratowski's theorem in 1967.[24] Blackwell only briefly extended his research beyond zero-sum games to explore the sure-thing principle[25][26] as introduced by Jimmie Savage,[27] primarily due the real-world societal implications of the mathematical result,[28] particularly for nuclear disarmament at the inception of the Cold War.[29]

Blackwell wrote one of the first Bayesian textbooks, his 1969 Basic Statistics. It inspired the 1995 textbook Statistics: A Bayesian Perspective by the biostatistician Donald Berry.

He spent the rest of his career at UC Berkeley, retiring in 1988[12][23] at age 70, which at that time was the mandatory retirement age. Over the course of his career, he mentored over 60 students.[3]

Personal life and death

Blackwell married Annlizabeth Madison, a 1934 graduate of Spelman College, on December 27, 1944.[8] They had eight children together,[30] three sons and five daughters: Ann, Julia, David, Ruth, Grover, Vera, Hugo, and Sara.

David Blackwell died of complications from a stroke on July 8, 2010, at Alta Bates Summit Medical Center in Berkeley, California.[31] He was 91 years old.

Honors and awards

In his lifetime, Blackwell received 12 honorary doctorates.

Legacy

The Mathematical Association of America's MathFest, in coordination with the National Association of Mathematicians, features an annual MAA-NAM David Blackwell Lecture.[7] Blackwell offered the inaugural address in 1994; and subsequent lecturers are researchers who "exemplif[y] the spirit of Blackwell in both personal achievement and service to the mathematical community."[37]

The Blackwell-Tapia prize is named in honor of David Blackwell and Richard A. Tapia.

The University of California, Berkeley named an undergraduate residence hall in his honor, named David Blackwell Hall. The residence hall opened in Fall 2018.[38]

An educational book about his life titled David Blackwell and the Deadliest Duel was published in 2019.

Blackwell made the following statement about his values and work in an 1983 interview for a project called "Mathematical People":

Basically, I'm not interested in doing research and I never have been....I’m interested in understanding, which is quite a different thing. And often to understand something you have to work it out yourself because no one else has done it.[12]

Bibliography

Books

  • Blackwell, D. (1969). Basic Statistics. McGraw Hill.
  • Blackwell, D.; Girshick, M.A. (1979). Theory of games and statistical decisions. New York: Dover Publications. ISBN 0486638316.

Journal articles

References

  1. 1 2 Sorkin, Michael (July 14, 2010). "David Blackwell fought racism; become world-famous statistician". Saint Louis Post-Dispatch.
  2. 1 2 David Blackwell publications indexed by Google Scholar
  3. 1 2 3 David Blackwell at the Mathematics Genealogy Project
  4. ↑ Roussas, G.G. et al. (2011) A Tribute to David Blackwell, NAMS 58(7), 912–928.
  5. ↑ Cattau, Daniel (July 2009). "David Blackwell 'Superstar'". Illinois Alumni. University of Illinois Alumni Association. pp. 32–34.
  6. ↑ "Joseph Thomas Gier; "Wasn't David Blackwell First?"". Joseph Gier Memorial Project: Berkeley EECS. Berkeley EECS. Retrieved 26 September 2023.
  7. 1 2 Staff, Skylar Schoemig | (2020-02-25). "'A Berkeley hero': UC Berkeley professors, alumnus reflect on legacy of David Blackwell". The Daily Californian. Retrieved 2021-06-18.
  8. 1 2 3 Marlow Anderson (31 March 2009). Who Gave You the Epsilon?: And Other Tales of Mathematical History. MAA. pp. 98–. ISBN 978-0-88385-569-0.
  9. 1 2 3 C., Bruno, Leonard (2003) [1999]. Math and mathematicians : the history of math discoveries around the world. Baker, Lawrence W. Detroit, Mich.: U X L. ISBN 0787638137. OCLC 41497065.{{cite book}}: CS1 maint: multiple names: authors list (link)
  10. ↑ "Blackwell, David Harold (1919-2010) | The Black Past: Remembered and Reclaimed". www.blackpast.org. 27 July 2010. Retrieved 2017-09-26.
  11. ↑ James H. Kessler, J. S. Kidd, Renee A. Kidd. Katherine A. Morin (1996), Distinguished African American Scientists of the 20th Century, Greenwood, ISBN 0-89774-955-3{{citation}}: CS1 maint: multiple names: authors list (link)
  12. 1 2 3 4 5 6 7 Grime, David (July 17, 2007). "David Blackwell, Scholar of Probability, Dies at 91". The New York Times – via nytimes.com.
  13. ↑ Gary Musser, Lynn Trimpe; Gary Musser; Lynn Trimpe (2007). Harold R. Parks (ed.). A Mathematical View of Our World. Cengage Learning. p. 32. ISBN 9780495010616.
  14. ↑ Steven Krantz (2005). Mathematical Apocrypha Redux: More Stories and Anecdotes of Mathematicians and the Mathematical. Cambridge University Press. p. 225. ISBN 9780883855546.
  15. ↑ "Mission and History". Institute for Advances Studies. 15 March 2016.
  16. ↑ Donald J. Albers (2008), "David Blackwell", in Donald J. Albers; Gerald L. Alexanderson (eds.), Mathematical People: Profiles and Interviews (2 ed.), A K Peters, ISBN 978-1-56881-340-0
  17. ↑ "David Blackwell: Berkley [sic]". Youtube. 2010-03-12. Retrieved 2020-06-10.
  18. ↑ Black, Robert “David Blackwell and the Deadliest Duel” p. 57-59.
  19. ↑ Blackwell, D. (1947). "Conditional expectation and unbiased sequential estimation". Annals of Mathematical Statistics. 18 (1): 105–110. doi:10.1214/aoms/1177730497. MR 0019903. Zbl 0033.07603.
  20. ↑ Blackwell, David and, M. A. Girshick (1954). Theory of Games and Statistical Decisions. New York, NY: John Wiley & Sons. ISBN 0-486-63831-6.
  21. ↑ Arrow, K. J., D. Blackwell and M. A. Girshick “Bayes and Minimax Solutions of Sequential Decision Problems” Econometrica Vol. 17, No. 3/4 (Jul. - Oct., 1949), pp. 213-244.
  22. ↑ Morris H. DeGroot (1986), "A conversation with David Blackwell", Statistical Science, 1 (1): 40–53, doi:10.1214/ss/1177013814
  23. 1 2 "David Blackwell | Mathematics at Illinois". math.illinois.edu. Retrieved 2021-11-03.
  24. ↑ Blackwell, David (November 1967). "Infinite Games and Analytic Sets". Proceedings of the National Academy of Sciences. 58 (5): 1836–1837. Bibcode:1967PNAS...58.1836B. doi:10.1073/pnas.58.5.1836. PMC 223869. PMID 16578685.
  25. ↑ Jeffrey, Richard (1982). "The Sure Thing Principle". Proceedings of the Biennial Meeting of the Philosophy of Science Association. 1982 (2): 719–730. 10.1086/psaprocbienmeetp.1982.2.192456.JSTOR 192456.S2CID 124506828.
  26. ↑ Pearl, Judea (December 2015). "The sure-thing principle" (PDF). UCLA Cognitive Systems Laboratory, Technical Report R-466.
  27. ↑ Savage, L. J. (1954), The foundations of statistics. John Wiley & Sons Inc., New York.
  28. ↑ 7. Blyth, C. (1972). "On Simpson's paradox and the sure-thing principle". Journal of the American Statistical Association. 67 (338): 364–366. 10.2307/2284382. JSTOR 2284382.
  29. ↑ Agwu, Nkechi; Smith, Luella; Barry, Aissatou (February 2003). "Dr. David Harold Blackwell, African American Pioneer" (PDF). Mathematics Magazine. 76 (1): 3–14. doi:10.1080/0025570X.2003.11953941. S2CID 120904626.
  30. ↑ Spelman Messenger Spelman College
  31. ↑ Brown, Emma (2010-07-16). "David H. Blackwell dies at 91; pioneering statistician at Howard and Berkeley". The Washington Post. ISSN 0190-8286. Retrieved 2017-09-26.
  32. ↑ "David Blackwell". Recognizing Excellence/Award Recipients. INFORMS. Retrieved 12 June 2019.
  33. ↑ "R.A. Fisher Award and Lectureship - Past Recipients". Committee of Presidents of Statistical Societies. Retrieved 12 June 2019.
  34. ↑ "APS Member History". search.amphilsoc.org. Retrieved 2022-04-19.
  35. ↑ Fellows: Alphabetical List, Institute for Operations Research and the Management Sciences, retrieved 2019-10-09
  36. ↑ "Laureates - David Blackwell". National Science & Technology Medals Foundation. Retrieved 21 May 2018.
  37. ↑ "MAA-NAM Blackwell Lecture". www.nam-math.org. Retrieved 2021-06-18.
  38. ↑ Kane, Will (8 February 2018). "New dorm to honor Berkeley's first tenured black professor". UC Berkeley. Retrieved 21 May 2018.
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