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Teoriya Veroyatnostei i ee Primeneniya, 1973, Volume 18, Issue 1, Pages 56–65
(Mi tvp2680)
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This article is cited in 6 scientific papers (total in 6 papers)
Some estimates in the theory of stochastic integral
N. V. Krylov Moscow
Abstract:
In this paper, two estimates, (4) and (11), are proved. In (4), $x_t=\int_0^t\sigma_s\,d\xi_s+\int_0^tb_s\,ds$ here $\xi_s$ is an $n$-dimensional Wiener process, $b_s=k_s+\sigma_sh_s$, and $k_s$, $h_s$ satisfy the conditions a), б) ($dt=\det\sigma_t^2$). A particular case of (11) is (5).
Received: 28.05.1971
Citation:
N. V. Krylov, “Some estimates in the theory of stochastic integral”, Teor. Veroyatnost. i Primenen., 18:1 (1973), 56–65; Theory Probab. Appl., 18:1 (1973), 54–63
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