This article is cited in 4 papers

The using of Rice series

R. N. Mirošin

Leningrad

Abstract: It is shown by means of examples that the Rice series may be used for representation of $\mathbf P\{\xi_t:\,\xi_t\le 0,\,t\in[0,T]\}$ in the cases of nondifferentiable processes $\xi_t$ or processes $\xi_t$ with purely discontinuous spectrum.

Received: 22.05.1981

 English version: Theory of Probability and its Applications, 1984, 28:4, 714–726

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