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Weak convergence of step processes in the space of closed sets. (Russian. English summary) Zbl 0531.60006

Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 130, 122-129 (1983).

The paper studies the behaviour of sequences of random step functions graphs as random sets on a plane. The method of proof differs from traditional functional approach. Moreover, some results inaccessible for the classical approach are obtained.

Reviewer: N.Gamkrelidze

Cited in 2 Reviews

Cited in 1 Document

MSC:

60B10	Convergence of probability measures
60G07	General theory of stochastic processes

Keywords:

weak convergence; step processes; random sets on a plane

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