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Teoriya Veroyatnostei i ee Primeneniya, 1980, Volume 25, Issue 2, Pages 366–369
(Mi tvp1170)
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This article is cited in 11 scientific papers (total in 11 papers)
Short Communications
Brownian motion Markovian stopping times with given laws
S. V. Anulova Moscow
Abstract:
Let $w_t$, $t\in[0,\infty)$, be the Brownian motion. For any probability law $\mu$ on $(0,\infty]$,
there exists a subset $B$ of $[-\infty,\infty]\times(0,\infty]$ such that the distribution of the stopping
time
$$
\tau=\inf\{t>0:(w_t,t)\in B\}
$$
coincides with $\mu$.
Received: 28.09.1977
Citation:
S. V. Anulova, “Brownian motion Markovian stopping times with given laws”, Teor. Veroyatnost. i Primenen., 25:2 (1980), 366–369; Theory Probab. Appl., 25:2 (1981), 362–366
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https://www.mathnet.ru/eng/tvp1170 https://www.mathnet.ru/eng/tvp/v25/i2/p366
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Abstract page: | 176 | Full-text PDF : | 94 |
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