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Limit theorems for infinite systems of renewal type integral equations arising in age-dependent branching processes
Journal article   Peer reviewed

Limit theorems for infinite systems of renewal type integral equations arising in age-dependent branching processes

Charles J. Mode
Mathematical biosciences, v 13(1), pp 165-177
1972

Abstract

This article, a continuation of [6], is divided into three sections. In Section I some of the necessary results of the previous article are collected, and in Section 2 some generalizations of famous theorems from renewal theory, including those of Blackwell and Smith, are obtained. Finally, Section 3 is devoted to applications of the theory to age-dependent branching processes with arbitrary state space.

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