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On the definition of the number of excursions above fixed level by a random field

V. P. Nosko

Moscow

Abstract: In the paper the definition of the number of excursions above fixed level by random fields is discussed. The inequalities for the expectation of the number of excursions above fixed level by the random field $X(t)$, $t\in R^2$, are obtained.

Received: 12.09.1977

 English version: Theory of Probability and its Applications, 1980, 24:3, 598–602

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