Short Communications

On the additive functionals of branching processes

V. M. Šurenkov

Kiev

Abstract: We define the additive functionals on the trajectories of branching processes. It is shown that in the critical and supercritical cases under the condition of non-extinction the value of the functional is asymptotically linearly dependent on the number of particles. Some examples are given.

Received: 18.04.1977

 English version: Theory of Probability and its Applications, 1979, 24:2, 396–401

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