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The multitype branching random walk, II

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  • Gail Ivanoff, B.

Abstract

Limit theorems for the multitype branching random walk as n --> [infinity] are given (n is the generation number) in the case in which the branching process has a mean matrix which is not positive regular. In particular, the existence of steady state distributions is proven in the subcritical case with immigration, and in the critical case with initial Poisson random fields of particles. In the supercritical case, analogues of the limit theorems of Kesten and Stigum are given.

Suggested Citation

  • Gail Ivanoff, B., 1982. "The multitype branching random walk, II," Journal of Multivariate Analysis, Elsevier, vol. 12(4), pages 526-548, December.
    • Handle: RePEc:eee:jmvana:v:12:y:1982:i:4:p:526-548
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