The multitype measure branching process

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1990 English Publisher:Cambridge University Press (CUP)Journal:Advances in Applied Probability, volume 22, pages 49-67 (issn: 0001-8678, eissn: 1475-6064,

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Authors: Luis G. Gorostiza; Jose A. Lopez-Mimbela;

doi: 10.2307/1427596

The multitype measure branching process

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Abstract

The existence of the multitype measure branching process is established as a small particle limit of a system of particles of several types in R d with immigration undergoing migration, branching and mutation. The process is characterized as a solution of a martingale problem. The single-type case was studied by Dawson (1975), (1977) and Watanabe (1968).

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