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On Aggregation of Subcritical Galton–Watson Branching Processes with Regularly Varying Immigration

Published in Lithuanian Mathematical Journal

Abstract. We study an iterated temporal and contemporaneous aggregation of N independent copies of a strongly stationary subcritical Galton–Watson branching process with regularly varying immigration having index α ∈ (0 , 2). We show that limits of finite-dimensional distributions of appropriately centered and scaled aggregated partial-sum processe...