^ "Search theory came to being during World War II with the work of B.^ Gary Kinder: Ship of Gold in the Deep Blue Sea Grove/Atlantic Inc., 2009, ISBN 978-0802144256, p.Published by: Institute for Operations Research and the Management Sciences (INFORMS), doi: 10.2307/170181 ( jstor 170181) Morse: In memoriam: Bernard Osgood Koopman, 1900–1981, Operations Research, Vol. Search and Screening, first edition 1946 (classified Confidential, declassified in 1958).
"Intuitive probabilities and sequences", Annals of Mathematics 42, 169–187, 1941."The bases of probability", Bulletin of the American Mathematical Society, 46, 763–774, 1940."The axioms and algebra of intuitive probability", Annals of Mathematics 41, 269–292, 1940.This is the paper in which the Pitman–Koopman theorem, sometimes called the Pitman–Koopman–Darmois theorem, appeared. Transactions of the American Mathematical Society. "On distributions admitting a sufficient statistic". Proceedings of the National Academy of Sciences. "Hamiltonian Systems and Transformations in Hilbert Space". Koopman's mother, née Louise Osgood, was a first cousin of William Fogg Osgood, and his father, Augustus Koopman (1869-1914), was a well known painter. In 1948 he married Jane Bridgman, daughter of his Harvard professor of thermodynamics, Percy Williams Bridgman, and they had three more daughters. Koopman had two daughters from his first wife Mary Louise Harvey who died in 1946. The Pitman–Koopman–Darmois theorem states that the only families of probability distributions that admit a sufficient statistic whose dimension remains bounded as the sample size increases are exponential families. A large part of his work is a systematization of the work performed by his group at ASWORG the portions on optimum allocation of search effort and on probabilistic aspects of search theory were developed by Koopman himself. He wrote down the results in detailed form in the book Search and Screening which was declassified in 1958. Their results remained classified Confidential for many years after the war after 1955 Koopman set out to publish three articles on easily declassifiable portions of the work in the Journal of the Operations Research Society of America. The theoretical work laid the foundations for search theory which subsequently became a field of its own within operations research. The work of Koopman and his colleagues at ASWORG concerned the development of techniques for the US Navy to hunt U-boats. In 1931/1932, Koopman and John von Neumann proposed a Hilbert space formulation of classical mechanics, known as the Koopman–von Neumann classical mechanics.ĭuring World War II, he joined the Anti-Submarine Warfare Operations Research Group (ASWORG, later ORG) in Washington, D.C., directed by Philip M. Koopman was a student of George David Birkhoff and his initial work concentrated on dynamical systems and mathematical physics. This relationship is not possible based on lifespan dates.After living in France and Italy, Koopman emigrated to the United States in 1915. You have chosen this person to be their own family member. Year should not be greater than current year If a new volunteer signs up in your requested photo location, they may see your existing request and take the photo. You can still file a request but no one will be notified. Sorry! We do not have any photo volunteers within fifty miles of your requested photo location.
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