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Teoriya Veroyatnostei i ee Primeneniya, 1982, Volume 27, Issue 1, Pages 67–80
(Mi tvp2271)
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This article is cited in 5 scientific papers (total in 5 papers)
The fibre method and its application to the investigation of functionals of stochastic processes
M. A. Lifšic Leningrad
Abstract:
Let $W(t)$, $t\in[0,1]$ be a standard Wiener process. The distribution of the functional
$$
J=\int_0^1g(W(t),t)\,dt
$$
is considered. Some conditions are found under which the distribution of $J$ has a bounded density. Some estimates of this density for large values of $J$ are given.
Received: 12.04.1979
Citation:
M. A. Lifšic, “The fibre method and its application to the investigation of functionals of stochastic processes”, Teor. Veroyatnost. i Primenen., 27:1 (1982), 67–80; Theory Probab. Appl., 27:1 (1982), 69–83
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https://www.mathnet.ru/eng/tvp2271 https://www.mathnet.ru/eng/tvp/v27/i1/p67
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Abstract page: | 222 | Full-text PDF : | 103 |
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