Person: Johnson (2), William Ernest
William Johnson was an English mathematician, logician and economist.
Mathematical Profile (Excerpt):
- Johnson viewed probability as expressing logical relations between evidence propositions and hypothesis propositions.
- In the 1920s the Cambridge philosopher William Ernest Johnson in effect characterized symmetric Dirichlet priors for multinomial sampling in terms of a natural and easily assessed subjective condition.
- Johnson's proof can be generalized to include asymmetric Dirichlet priors and those finitely exchangeable sequences with linear posterior expectation of success.
- Some interesting open problems that Johnson's result raises, and its historical and philosophical background, are also discussed.
- Despite his shyness, Keynes remarked that Johnson was an excellent conversationalist.
Born 23 June 1858, Cambridge, England. Died 14 January 1931, Northampton, England.
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Thank you to the contributors under CC BY-SA 4.0!
Adapted from other CC BY-SA 4.0 Sources:
- O’Connor, John J; Robertson, Edmund F: MacTutor History of Mathematics Archive