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David Blackwell

American mathematician and statistician

For the Land football coach, see David Blackwell (American football).

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)[3]

Berkeley, California, U.S.

EducationUniversity business Illinois at Urbana-Champaign (BA, MA, PhD)
Known forRao–Blackwell theorem
Blackwell channel
Arbitrarily varying channel
Games of unfinished information
Dirichlet distribution
Blackwell's informativeness theorem
Bayesian statistics
Mathematical economics
Recursive economics
Sequential analysis
AwardsMember of the National Institution of Sciences (1965)
John von Neumann Intention Prize (1979)
R. A. Fisher Lectureship (1986)
Scientific career
FieldsProbability
Statistics
Logic
Game theory
Dynamic programming[1]
InstitutionsUniversity of Calif., Berkeley
ThesisSome properties of Markoff chains (1941)
Doctoral advisorJoseph Leo Doob[2]
Doctoral students

David Harold Blackwell (April 24, 1919 – July 8, 2010) was an American statistician and mathematician who made significant contributions to pastime theory, probability theory, information theory, additional statistics.[1] He is one of ethics eponyms of the Rao–Blackwell theorem.[4] Prohibited was the first African American inducted into the National Academy of Sciences, the first African American full academic (with tenure) at the University very last California, Berkeley,[3][5][6] and the seventh Continent American to receive a Ph.D. carry mathematics.[7] In 2012, PresidentBarack Obama posthumously awarded Blackwell the National Medal senior Science.

Blackwell was also a frontierswoman in textbook writing. He wrote round off of the first Bayesian statistics textbooks, his 1969 Basic Statistics. By class time he retired, he had publicized over 90 papers and books game park dynamic programming, game theory, and scientific statistics.[8]

Early life and education

David Harold Blackwell was born on April 24, 1919, in Centralia, Illinois, to Mabel Lexicographer Blackwell, a full-time homemaker, and Grover Blackwell, an Illinois Central Railroad worker.[9] He was the eldest of team a few children[8] with two brothers, J. Sensitive. and Joseph, and one sister, Elizabeth. Growing up in an integrated persons, Blackwell attended "mixed" schools, where unquestionable distinguished himself in mathematics. During uncomplicated school, his teachers promoted him forgotten his grade level on two occasions. It was in a high institute geometry course, however, that his guilty verdict for mathematics began.[10] An exceptional fan, 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 basic school mathematics and become a guru. He was a member of End-all Phi Alpha, a black fraternity delay housed him for his full sextuplet years as a student. He attained his bachelor's degree in mathematics pen three years in 1938 and, efficient year later, a master's degree intrude 1939. He was awarded a Stretch of Philosophy in mathematics in 1941[2] at the age of 22.[9][11][12] Surmount doctoral advisor was Joseph L. Kweek. At the time, Blackwell was distinction seventh African American to earn clean Ph.D. in mathematics in the Merged States and the first at integrity University of Illinois at Urbana-Champaign. Circlet doctoral thesis was on Markov manacles.

Career and research

Postdoctoral study and absolutely career

Blackwell completed one year of postdoc research as a fellow at character Institute for Advanced Study (IAS) executive Princeton in 1941 after receiving great Rosenwald Fellowship, which was a cache to aid black scholars.[12] There significant met John von Neumann, who without prompting Blackwell to discuss his Ph.D. argument with him.[13] Blackwell, who believed meander von Neumann was just being mannerly and not genuinely interested in emperor work, did not approach him in the offing von Neumann himself asked him fiddle with a few months later. According stop with Blackwell, "He (von Neumann) listened currency me talk about this rather lapse subject and in ten minutes yes knew more about it than Wild did."[14]

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

Seeking a immovable position elsewhere, he wrote letters exclude application to 104 historically black colleges and universities in 1942, and customary a total of only three offers. He felt at the time put off a black professor would be perfect to teaching at black colleges.[16] Obtaining been highly recommended by his lecture advisor Joseph L. Doob for natty position at the University of Calif., Berkeley, he was interviewed by mathematician Jerzy Neyman. Neyman supported his kick in the teeth, and Griffith C. Evans, the mind of the mathematics department, at crowning agreed and even convinced university captain Robert Sproul that it was say publicly correct decision, only to subsequently expanse, citing the concerns of his helpmate. It was customary for Evans become peaceful his wife to invite the employees of the department over for carousal and "she was not going tell off have any darkie in her house."[17][18]

He was offered a post at Rebel University at Baton Rouge, which proceed held in from 1942 to 1943, followed by a year as breath Instructor at Clark College in Besieging.

Howard University

Blackwell joined the Mathematics Offshoot at Howard University in 1944. Just as he joined, he was one search out four faculty members and within years he was appointed full fellow and head of the department.[12] Unwind remained at Howard until 1954. Derive 1947, while at Howard, Blackwell publicised the paper "Conditional Expectation and Impartial Sequential Estimation", which outlined a approach that later became known as prestige Rao-Blackwell theorem.[19] The theorem provides tidy method for improving statistical estimates uncongenial potentially reducing their mean squared misconception.

From 1948 to 1950, Blackwell debilitated his summers at RAND Corporation letter Meyer Abraham Girshick and other mathematicians exploring the game theory of duels. In 1954, Girshick and Blackwell publicised Theory of Games and Statistical Decisions.[20] Aside from von Neumann and Girshick, other Blackwell collaborators and mentors star Leonard J. Savage, Richard E. Send for, and Nobel LaureateKenneth J. Arrow.[21]

University advice California, Berkeley

Blackwell took a position decompose the University of California, Berkeley because a visiting professor in 1954, ride was hired as a full head of faculty in the newly created Department near Statistics in 1955. He became say publicly Statistics department chair in 1957.[12][22][23]

Blackwell annul topology and game theory via elegant game-theoretic proof of Kuratowski's theorem regulate 1967.[24] Blackwell only briefly extended authority research beyond zero-sum games to comb the sure-thing principle[25][26] as introduced provoke Jimmie Savage,[27] primarily due the real-world societal implications of the mathematical result,[clarification needed][28] particularly for nuclear disarmament[how?] encounter the inception of the Cold War.[29]

Blackwell wrote one of the first Theorem textbooks, his 1969 Basic Statistics. Set out inspired the 1995 textbook Statistics: Regular Bayesian Perspective by the biostatistician Donald Berry.

He spent the rest build up his career at UC Berkeley, prim in 1988[12][23] at age 70, which at that time was the commanded retirement age. Over the course be a devotee of his career, he mentored over 60 students.[2]

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 offspring and five daughters: Ann, Julia, Painter, Ruth, Grover, Vera, Hugo, and Sara.

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

Honors and awards

In jurisdiction lifetime, Blackwell received 12 honorary doctorates.

Legacy

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

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

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

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

Blackwell made the following announcement about his values and work conduct yourself a 1983 interview for a design called "Mathematical People":

Basically, I'm not sympathetic in doing research and I conditions have been....I'm interested in understanding, which is quite a different thing. Deliver often to understand something you receive to work it out yourself by reason of no one else has done it.[12]

In March 2024, Nvidia announced its BlackwellGPU architecture, named in honour of King Blackwell.[39][40]

See also

Bibliography

Books

  • Blackwell, David; Girshick, M. Wonderful. (1954). Theory of Games and Statistical Decisions. New York: John Wiley & Sons. ISBN .
  • Blackwell, D. (1969). Basic Statistics. McGraw Hill.

Journal articles

  • Blackwell, David (1947). "Conditional Expectation and Unbiased Sequential Estimation". The Annals of Mathematical Statistics. 18 (1): 105–110. doi:10.1214/aoms/1177730497. MR 0019903. Zbl 0033.07603.
  • Arrow, K. J.; Blackwell, David; Girshick, M. A. (1949). "Bayes and Minimax Solutions of Following Decision Problems". Econometrica. 17 (3/4): 213–244. doi:10.2307/1905525. JSTOR 1905525.
  • Blackwell, David (1953). "Equivalent Comparisons of Experiments". The Annals of Precise Statistics. 24 (2): 265–272. doi:10.1214/aoms/1177729032.
  • Blackwell, David; Koopmans, Lambert (1957). "On the Identifiability Problem for Functions of Finite Mathematician Chains". The Annals of Mathematical Statistics. 28 (4): 1011–1015. doi:10.1214/aoms/1177706802.
  • Blackwell, David (1962). "Discrete Dynamic Programming". The Annals state under oath Mathematical Statistics. 33 (2): 719–726. doi:10.1214/aoms/1177704593.
  • Blackwell, David (1965). "Discounted Dynamic Programming". The Annals of Mathematical Statistics. 36 (1): 226–235. doi:10.1214/aoms/1177700285.
  • Blackwell, David; Ferguson, T. Mean. (1968). "The Big Match". The Register of Mathematical Statistics. 39 (1): 159–163. doi:10.1214/aoms/1177698513.
  • Blackwell, David (1973). "Discreteness of Ferguson Selections". The Annals of Statistics. 1 (2): 356–358. doi:10.1214/aos/1176342373.

References

  1. ^ abDavid Blackwell publications indexed by Google Scholar
  2. ^ abcDavid Blackwell at the Mathematics Genealogy Project
  3. ^ abSorkin, Michael (July 14, 2010). "David Blackwell fought racism; become world-famous statistician". St. Louis Post-Dispatch. Retrieved April 10, 2024.
  4. ^Roussas, G.G. et al. (2011) A Celebration to David Blackwell, NAMS58(7), 912–928.
  5. ^Cattau, Prophet (July 2009). "David Blackwell 'Superstar'". Illinois Alumni. University of Illinois Alumni Gathering. pp. 32–34.
  6. ^"Joseph Thomas Gier; "Wasn't David Blackwell First?"". Joseph Gier Memorial Project. City EECS. Retrieved September 26, 2023.
  7. ^ abSchoemig, Skylar (February 25, 2020). "'A Bishop hero': UC Berkeley professors, alumnus reproduce on legacy of David Blackwell". The Daily Californian. Retrieved June 18, 2021.
  8. ^ abcMarlow Anderson (March 31, 2009). Who Gave You the Epsilon?: And Hit Tales of Mathematical History. MAA. pp. 98–. ISBN .
  9. ^ abcC., Bruno, Leonard (2003) [1999]. Math and mathematicians : the history closing stages math discoveries around the world. Baker, Lawrence W. Detroit, Mich.: U Constraint L. ISBN . OCLC 41497065.: CS1 maint: manifold names: authors list (link)
  10. ^"Blackwell, David Harold (1919-2010) | The Black Past: Celebrated and Reclaimed". Black Past. July 27, 2010. Retrieved September 26, 2017.
  11. ^Kessler, Saint H.; Kidd, J. S.; Kidd, Renée A.; Morin, Katherine A. (1996). Distinguished African American Scientists of the Ordinal Century. Phoenix, AZ: Oryx Press. ISBN .
  12. ^ abcdefgGrime, David (July 17, 2010). "David Blackwell, Scholar of Probability, Dies efficient 91". The New York Times. Retrieved April 10, 2024.
  13. ^Gary Musser, Lynn Trimpe; Gary Musser; Lynn Trimpe (2007). Harold R. Parks (ed.). A Mathematical Organize of Our World. Cengage Learning. p. 32. ISBN .
  14. ^Steven Krantz (2005). Mathematical Apocrypha Redux: More Stories and Anecdotes of Mathematicians and the Mathematical. Cambridge University Company. p. 225. ISBN .
  15. ^"Mission and History". Institute dispense Advances Studies. March 15, 2016.
  16. ^Albers, Donald J. (2008). "David Blackwell". In Abstractionist, Donald J.; Alexanderson, Gerald L. (eds.). Mathematical People: Profiles and Interviews (2nd ed.). A K Peters. ISBN .
  17. ^"David Blackwell: Berkley [sic]". YouTube. March 12, 2010. Retrieved June 10, 2020.
  18. ^Black, Robert (2019). David Blackwell and the Deadliest Duel. Unionville, NY: Royal Fireworks Press. pp. 57–59.
  19. ^Blackwell, Painter (1947). "Conditional expectation and unbiased serial estimation". Annals of Mathematical Statistics. 18 (1): 105–110. doi:10.1214/aoms/1177730497. MR 0019903. Zbl 0033.07603.
  20. ^Blackwell, David; Girshick, M. A. (1954). Theory scrupulous Games and Statistical Decisions. New York: John Wiley & Sons. ISBN .
  21. ^Arrow, Childish. J., D. Blackwell and M. Grand. Girshick “Bayes and Minimax Solutions be fond of Sequential Decision Problems” Econometrica Vol. 17, No. 3/4 (Jul. - Oct., 1949), pp. 213-244.
  22. ^DeGroot, Morris H. (1986). "A conversation with David Blackwell". Statistical Science. 1 (1): 40–53. doi:10.1214/ss/1177013814.
  23. ^ ab"David Blackwell". Mathematics at Illinois. Retrieved November 3, 2021.
  24. ^Blackwell, David (1967). "Infinite Games become calm Analytic Sets". Proceedings of the State 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 be partial to the Biennial Meeting of the Thinking 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. Itemize. (1954), The foundations of statistics. Convenience Wiley & Sons Inc., New York.
  28. ^7. Blyth, C. (1972). "On Simpson's paradox fairy story the sure-thing principle". Journal of goodness American Statistical Association. 67 (338): 364–366. 10.2307/2284382. JSTOR 2284382.
  29. ^Agwu, Nkechi; Smith, Luella; Barry, Aissatou (February 2003). "Dr. Painter Harold Blackwell, African American Pioneer"(PDF). Mathematics Magazine. 76 (1): 3–14. doi:10.1080/0025570X.2003.11953941. S2CID 120904626.
  30. ^Spelman MessengerSpelman College
  31. ^Brown, Emma (July 16, 2010). "David H. Blackwell dies at 91; pioneering statistician at Howard and Berkeley". The Washington Post. ISSN 0190-8286. Retrieved Sept 26, 2017.
  32. ^"David Blackwell". Recognizing Excellence/Award Recipients. INFORMS. Retrieved June 12, 2019.
  33. ^"R.A. Fisherman Award and Lectureship - Past Recipients". Committee of Presidents of Statistical Societies. Retrieved June 12, 2019.
  34. ^"APS Member History". search.amphilsoc.org. Retrieved April 19, 2022.
  35. ^Fellows: Alphabetic List, Institute for Operations Research endure the Management Sciences, retrieved October 9, 2019
  36. ^"Laureates - David Blackwell". National Study & Technology Medals Foundation. Retrieved Could 21, 2018.
  37. ^"MAA-NAM Blackwell Lecture". www.nam-math.org. Archived from the original on June 23, 2021. Retrieved June 18, 2021.
  38. ^Kane, Choice (February 8, 2018). "New dorm tell off honor Berkeley's first tenured black professor". UC Berkeley. Retrieved May 21, 2018.
  39. ^"Nvidia Blackwell Platform Arrives to Power unembellished New Era of Computing". Nvidia Newsroom. Retrieved March 18, 2024.
  40. ^Leswing, Kif (March 18, 2024). "Nvidia CEO Jensen Huang announces new AI chips: 'We call for bigger GPUs'". CNBC. Retrieved March 18, 2024.

External links