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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 454, Pages 52–81
(Mi znsl6384)
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This article is cited in 8 scientific papers (total in 8 papers)
Distributions of functionals of switching diffusions
A. N. Borodinab a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg State University, St. Petersburg, Russia
Abstract:
The paper deals with the methods of computations of distributions of functionals of switching diffusions. The switching between two collections of diffusion coefficients happens at the Poisson time moments, which are independent of the initial diffusions. It is also possible to consider the more general switching diffusions when the choice is taken from three and more collections of diffusion coefficients.
Key words and phrases:
diffusions, switching diffusions, distributions of functionals.
Received: 15.10.2016
Citation:
A. N. Borodin, “Distributions of functionals of switching diffusions”, Probability and statistics. Part 24, Zap. Nauchn. Sem. POMI, 454, POMI, St. Petersburg, 2016, 52–81; J. Math. Sci. (N. Y.), 229:6 (2018), 632–650
Linking options:
https://www.mathnet.ru/eng/znsl6384 https://www.mathnet.ru/eng/znsl/v454/p52
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