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Short Communications

Limit Theorems for Dissipative Flows

Yu. K. Belyaev

Moscow

Abstract: It is proved for a large class of random flows that after some dissipative operations the flows tend to a Poisson flow. Theorem 1 is a generalization of a known result obtained by A. Renyi [2].
The results of Theorems 3, 4 are connected with the investigation of output flows for some service systems.

Received: 06.02.1961

 English version: Theory of Probability and its Applications, 1963, 8:2, 165–173