This article is cited in 3 papers

The horizon of the random field of the cones on the plane. Mean number of horizon corners

V. P. Nosko

Moscow

Abstract: In this paper the horizon of the random field of cones on the plane is considered. The closed expression for a mean number $\mu_\lambda$ of horizon corners is obtained. The asymptotic behaviour of $\mu_\lambda$ is investigated when the mean number $\lambda$ of cones is increasing $\lambda\uparrow\infty$.

Received: 26.09.1979

 English version: Theory of Probability and its Applications, 1983, 27:2, 269–279

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