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This article is cited in 4 scientific papers (total in 4 papers)
Probability theory and mathematical statistics
On a random walk with switchings
V. I. Lotovab a Sobolev Institute of Mathematics,
Pr. Koptyuga, 4,
630090, Novosibirsk, Russia
b Novosibirsk State University,
Pirogova St., 1,
630090, Novosibirsk, Russia
Abstract:
We find the Laplace-Stieltjes transform of the stationary distribution of a random walk in which the distribution of jumps changes when the strip boundaries are alternately reached. We use known results for regenerative processes and factorization technique for the study in boundary crossing problems for random walks.
Keywords:
oscillating random walk, regenerative process, stationary distribution, factorization method.
Received September 21, 2018, published October 31, 2018
Citation:
V. I. Lotov, “On a random walk with switchings”, Sib. Èlektron. Mat. Izv., 15 (2018), 1320–1331
Linking options:
https://www.mathnet.ru/eng/semr999 https://www.mathnet.ru/eng/semr/v15/p1320
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Abstract page: | 198 | Full-text PDF : | 41 | References: | 39 |
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