Mathematician:Bernard Osgood Koopman
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French-born American mathematician, known for his work in ergodic theory, the foundations of probability, statistical theory and operations research.
- Born: 19 January 1900 in 7th arrondissement of Paris, France
- Died: 18 August 1981 in Randolph, New Hampshire, US
Theorems and Definitions
- Pitman-Koopman-Darmois Theorem (with Edwin James George Pitman and Georges Darmois) (also known as the Koopman-Pitman-Darmois Theorem or Pitman-Koopman Theorem)
- Koopman-von Neumann Classical Mechanics (with John von Neumann)
- Koopman Operator
- Koopman-Darmois Family of Distributions (also known as the Exponential Family of Distributions) (with Georges Darmois)
Results named for Bernard Osgood Koopman can be found here.
Definitions of concepts named for Bernard Osgood Koopman can be found here.
- 1931: Hamiltonian Systems and Transformations in Hilbert Space (Proc. Natl. Acad. Sci. U S A Vol. 17, no. 5: pp. 315 – 318)
- 1936: On distributions admitting a sufficient statistic (Trans. Amer. Math. Soc. Vol. 39, no. 3: pp. 399 – 409) (in which Pitman-Koopman-Darmois Theorem is presented)
- 1940: The axioms and algebra of intuitive probability (Ann. Math. Vol. 41: pp. 269 – 292)
- 1940: The bases of probability (Bull. Amer. Math. Soc. Vol. 46: pp. 763 – 774)
- 1941: Intuitive probabilities and sequences (Ann. Math. Vol. 42: pp. 169 – 187)
- 1946: Search and Screening