Theodore Wilbur Anderson Explained

Birth Date:June 5, 1918
Birth Place:Minneapolis, Minnesota, U.S.
Death Date:September 17, 2016 (aged 98)
Death Place:Stanford, California, U.S.
Nationality:American
Alma Mater:Princeton University, Northwestern University
Doctoral Advisor:Samuel S. Wilks
Doctoral Students:John B. Taylor
Cheng Hsiao[1]
Known For:Anderson–Darling test, Anderson–Bahadur algorithm
Field:Mathematical statistics
Work Institution:Columbia University, Stanford University

Theodore Wilbur Anderson (June 5, 1918  - September 17, 2016) was an American mathematician and statistician who specialized in the analysis of multivariate data.He was born in Minneapolis, Minnesota.[2] He was on the faculty of Columbia University from 1946 until moving to Stanford University in 1967, becoming Emeritus Professor in 1988. He served as Editor of Annals of Mathematical Statistics from 1950 to 1952. He was elected President of the Institute of Mathematical Statistics in 1962.

Anderson's 1958[3] textbook, An Introduction to Multivariate Analysis,[4] educated a generation of theorists and applied statisticians; Anderson's book emphasizes hypothesis testing via likelihood ratio tests and the properties of power functions: Admissibility, unbiasedness and monotonicity.[5] [6]

Anderson is also known for Anderson–Darling test of whether there is evidence that a given sample of data did not arise from a given probability distribution.

He also framed the Anderson–Bahadur algorithm[7] along with Raghu Raj Bahadur, which is used in statistics and engineering for solving binary classification problems when the underlying data have multivariate normal distributions with different covariance matrices.

Awards and honors

He was awarded a Guggenheim Fellowship in 1946.[8]

In 1949 he was elected a Fellow of the American Statistical Association.[9]

He was elected a Fellow of the American Academy of Arts and Sciences in 1974.[10]

He was a member of the Norwegian Academy of Science and Letters.[11]

Anderson died in September 2016 at the age of 98 in Stanford, California after experiencing heart problems.[12]

Selected bibliography

Books

Chapters in books

Notes and References

  1. Web site: The Statistical Analysis of Policy Rules . Taylor . John B. . September 24, 2016 . economicsone.com . Economics One (A blog by John B. Taylor) . October 3, 2016 .
  2. Web site: IWMS´08 - 17th International Workshop on Matrices and Statistics. www.ccc.ipt.pt. 2016-06-12.
  3. Book: Täonu Kollo. Dietrich von Rosen. Advanced Multivariate Statistics with Matrices. 17 June 2013. 1 January 2005. Springer. 978-1-4020-3419-0. 13–.
  4. Book: Anderson, T.W. . An introduction to multivariate statistical analysis . John Wiley and Sons . New York . 2004 . 3rd . 9789812530967 .
  5. 10.2307/2289251. Review: Contemporary Textbooks on Multivariate Statistical Analysis: A Panoramic Appraisal and Critique. K. V.. Kent. J. T.. Bibby. J. M.. Morrison. D. F.. Muirhead. R. J.. Press. S. J.. Rao. C. R.. Roy. S. N.. Gnanadesikan. R.. Srivastava. J. N.. Seber. G. A. F.. Srivastava. M. S.. Khatri. C. G.. Takeuchi. K.. Yanai. H.. Mukherjee. B. N.. Mardia. A. M.. Kshirsagar. M. G.. Kendall. R.. Gnanadesikan. N. C.. Giri. M. L.. Eaton. S. F.. Arnold. T. W.. Anderson. Sen. Pranab Kumar. Pranab K. Sen. Journal of the American Statistical Association. 81 . 394 . June 1986. 560–564. 2289251 . 0162-1459 . 8. (Pages 560–561)
  6. 10.1214/ss/1177013111. A Review of Multivariate Analysis. Schervish. Mark J.. Statistical Science. 2. 4. November 1987. 396–413. 2245530. 0883-4237. free.
  7. Classification into two multivariate normal distributions with different covariance matrices (1962), T W Anderson, R R Bahadur, Annals of Mathematical Statistics
  8. Web site: Search Results: Theodore Anderson. John Simon Guggenheim Memorial Foundation. 18 April 2011. dead. https://web.archive.org/web/20120920180511/http://www.gf.org/fellows/results?query=Theodore+Anderson&lower_bound=1925&upper_bound=2011&competition=ALL&fellowship_category=ALL&x=0&y=0. 20 September 2012.
  9. http://www.amstat.org/awards/fellowslist.cfm View/Search Fellows of the ASA
  10. Web site: Book of Members, 1780-2010: Chapter A. American Academy of Arts and Sciences. 18 April 2011.
  11. Web site: Gruppe 8: Samfunnsfag (herunder sosiologi, statsvitenskap og økonomi). Norwegian Academy of Science and Letters. Norwegian. 9 January 2011.
  12. Web site: Theodore W. Anderson 1918‒2016 Department of Statistics . statistics.stanford.edu . dead . https://web.archive.org/web/20160921062054/https://statistics.stanford.edu/news/theodore-w-anderson-1918%E2%80%922016 . 2016-09-21.

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