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.
View full biography at MacTutor
Tags relevant for this person:
Adapted from other CC BY-SA 4.0 Sources:
- O’Connor, John J; Robertson, Edmund F: MacTutor History of Mathematics Archive